CN104575188A - Dynamics study device - Google Patents
Dynamics study device Download PDFInfo
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- CN104575188A CN104575188A CN201510051060.0A CN201510051060A CN104575188A CN 104575188 A CN104575188 A CN 104575188A CN 201510051060 A CN201510051060 A CN 201510051060A CN 104575188 A CN104575188 A CN 104575188A
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- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 claims description 10
- 229910052742 iron Inorganic materials 0.000 claims description 5
- 239000012858 resilient material Substances 0.000 claims description 3
- 238000002474 experimental method Methods 0.000 description 10
- 238000000034 method Methods 0.000 description 9
- 230000005484 gravity Effects 0.000 description 5
- 238000012986 modification Methods 0.000 description 4
- 230000004048 modification Effects 0.000 description 4
- 238000004458 analytical method Methods 0.000 description 3
- 238000011160 research Methods 0.000 description 3
- 230000009286 beneficial effect Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 238000005452 bending Methods 0.000 description 1
- 230000000295 complement effect Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000008034 disappearance Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000010297 mechanical methods and process Methods 0.000 description 1
- 230000005226 mechanical processes and functions Effects 0.000 description 1
- 239000000523 sample Substances 0.000 description 1
- 230000003068 static effect Effects 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/06—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
- G09B23/08—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics
- G09B23/10—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics of solid bodies
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- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
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Abstract
The invention belongs to the field of dynamics study devices and particularly relates to a dynamics device studying circular motion. In the case that a heavy, tied with a fine cord, is performed with circular movement in a vertical plane, the experimental phenomenon does not meet the theory, and in order to explain the phenomenon and prove the theory's correctness, the dynamics study device is provided. The dynamics study device comprises a vertical face plate, a magnetic column, the fine cord and the heavy and is characterized in that the vertical face plate is fixedly connected with a clamp device, the clamp device is provided with an arc-shaped guide rail, side plates are fixedly connected with the arc-shaped guide rail, the insides of the side plates are all attached with clamp blocks, and thicknesses of the clamp blocks, away the guide rail by the same distance, along the horizontal direction change in the way that the clamp block at the lower end of the arc-shaped guide rail is thin, and the clamp block at the upper end of the arc-shaped guide rail is thick. The thicknesses of the clamp blocks change in the way that the clamp block close to the arc-shaped guide rail is thin, and the clamp block far away from the arc-shaped guide rail is thick.
Description
Technical field
The invention belongs to kinetics research device field, especially the dynamics device of research involved by circular motion.
Background technology
Fine rule is fastened a weight and is moved in a circle at perpendicular, weight pulling force when minimum point is greater than gravity, and minimum point pulling force maximum-this is all easily by theoretical proof, want by this phenomenon of experiment performance, prior art discloses a kind of device studying circular motion: vertical panel, be positioned at vertical panel lower end for supporting the base of vertical panel, vertical panel is made up of iron plate, also comprise one to be made up of permanent magnet, shape is the magnetic post of column, magnetic post one end is adsorbed in vertical panel, magnetic post other end bolt fine rule, the upper end of fine rule is bolted to magnetic post, the lower end of fine rule hangs a weight.The using method of this device: the first step, rises certain altitude by weight, and: 1, make fine rule be in linear state; 2, fine rule departs from vertical position.Second step, release weight, weight starts to do the motion that shape is circular arc, that is: a part for circular motion.Select suitable off-position, such effect can be reached: at this position release weight, just magnetic post can be forgotten about it.Theoretical analysis is as follows: represent with T the pulling force that weight is subject to, and represent with G and represent the quality of weight with m by the gravity that weight is subject to, represent the speed of weight through minimum point with v, represent the radius of weight circular motion with r, derivation obtains
so, obtain minimum point speed v larger, the conclusion that pulling force T is larger.Explain with this experiment is auxiliary: magnetic post is forgotten about it, and illustrates that pulling force T force of gravity is large.Experimental implementation person recorded the video of this experiment, when playing video frame by frame, finds: magnetic post is not used in weight and is in minimum point and falls down, but obviously have passed through after minimum point, and magnetic post just.Experimental implementation person repeats experiment repeatedly, and all recorded video is also play frame by frame at every turn, all finds this phenomenon.This phenomenon and theory are not inconsistent.Do not found by people before this phenomenon: slow play just can observe this phenomenon.Outwell to magnetic post through minimum point from weight, approximately last 0.2 second.The time of 0.2 second, be approximately this device hang 1/8th of weight period of single pendulum, in this 0.2 second, the distance of weight process is approximately 2/3rds of amplitude, and the angle of fine rule and vertical direction is approximately 40 degree.So usually do not go out this phenomenon from observation the time, when slow play, the distance that can depart from equilibrium position from weight observes this phenomenon.
Strict, this experiment and theory are not inconsistent, and this experimental provision should not be used for the dynamic (dynamical) teaching of circular motion.In other words: a new device be researched and developed, the experiment that minimum point pulling force is greater than gravity can be demonstrated, and overcome above-mentioned defect.
Since research and develop new device, where is the problem will to know existing apparatus.Have two kinds of sayings: 1, the deformation of fine rule needs the time, and this time is approximately 0.2s, waits fine rule to complete deformation, and magnetic post is just subject to larger pulling force and is forgotten about it.2, magnetic post just starts to have toppled over through minimum point at weight, but the length of magnetic post falls short of, and after 0.2 second, just obviously finds out magnetic post and outwells.These two kinds of sayings sound all reasonable, if judge which kind of saying is correct with knowwhy, this is very complicated theoretical question.
About this phenomenon, also have other to explain, those explanations directly can be got rid of by theoretical analysis, so, just do not describe in this manual.
The present invention proposes a kind of device, this device can: 1, which kind of is correct to verify above-mentioned two kinds of sayings.2, overcome the weak point of existing apparatus, and reach experimental phenomena and the theoretical beneficial effect conformed to.
Summary of the invention
The present invention overcomes the not enough technical scheme adopted of prior art:
A kind of for studying dynamic (dynamical) device, comprise vertical panel, be positioned at vertical panel lower end for supporting the base of vertical panel, vertical panel is fabricated from iron, also comprise that be made up of permanent magnet, shape is a column magnetic post, magnetic post one end is adsorbed in vertical panel, magnetic post other end bolt fine rule
The upper end of fine rule is bolted to magnetic post, and the lower end of fine rule hangs the spherical weight that is used for doing circular motion, it is characterized in that:
Vertical panel is fixedly connected with one for making weight not be subject to fine rule pulling force behind equilibrium position and retraining the clamping device of weight motion, and described clamping device is such:
Clamping device be provided with for retrain weight motion arc-shaped rail, arc-shaped rail is circular arc at the section shape of perpendicular, each tangent plane in arc-shaped rail place perpendicular to vertical panel,
The radius-of-curvature of arc-shaped rail is less than the radius of trajectory,
Arc-shaped rail tangent line is bottom horizontal direction, arc-shaped rail lowest positions a little less than the minimum point of trajectory,
The distance of arc-shaped rail upper end distance magnetic post is less than the radius of trajectory,
Two sides of arc-shaped rail are all fixedly connected with side plate, side plate place plane is perpendicular, the inner face of two side plates all stick be made up of resilient material, for clamping the fixture block of weight, fixture block is being change like this apart from the thickness of its horizontal direction of guide rail same distance place: the lower end fixture block of arc-shaped rail is thinner, and the upper end fixture block of arc-shaped rail is thicker.
Perpendicular to arc-shaped rail tangent plane and simultaneously perpendicular to the direction of vertical panel, the thickness of fixture block is change like this: more nearby, fixture block is thinner for distance arc-shaped rail, and remotely, fixture block is thicker for distance arc-shaped rail.
The arc length arriving upper end process along arc-shaped rail is bottom 1 to a thirtieth/10th of fine rule length.
Structure of the present invention is simple, does related experiment, experimental phenomena can be allowed to conform to theoretical analysis perfection with the present invention.
Accompanying drawing explanation
Fig. 1 is the front elevation of prior art.
Fig. 2 is the test pattern of prior art.
Fig. 3 is the front elevation of the embodiment of the present invention one.
Fig. 4 is the partial top view of the embodiment of the present invention one.
Fig. 5 is the partial structurtes schematic diagram of the embodiment of the present invention one.
Fig. 6 is the part sectioned view of the embodiment of the present invention one.
Fig. 7 is the part sectioned view of the embodiment of the present invention two.
In figure: 1-vertical panel, 2-base, 3-magnetic post, 4-fine rule, 5-weight, 51-trajectory, 7-clamping device, 71-arc-shaped rail bottom, 72-arc-shaped rail, 73-side plate, 74-fixture block.
Embodiment
Accompanying drawing 1,2 is front elevation and the side view of prior art respectively: prior art comprises vertical panel 1, be positioned at vertical panel 1 lower end for supporting the base 2 of vertical panel 1, vertical panel 1 is fabricated from iron, also comprise that be made up of permanent magnet, shape is a column magnetic post 3, magnetic post 3 one end is adsorbed in vertical panel 1, magnetic post 3 other end bolt fine rule 4, the upper end of fine rule 4 is bolted to magnetic post 3, and the lower end of fine rule 4 hangs the weight 5 that is used for doing circular motion.
Embodiment one
See accompanying drawing 3, it is front elevation of the present invention, a kind of for studying dynamic (dynamical) device, comprise vertical panel 1, be positioned at vertical panel 1 lower end for supporting the base 2 of vertical panel 1, vertical panel 1 is fabricated from iron, also comprise that be made up of permanent magnet, shape is a column magnetic post 3, magnetic post 3 one end is adsorbed in vertical panel 1, magnetic post 3 other end bolt fine rule 4
The upper end of fine rule 4 is bolted to magnetic post 3, and the lower end of fine rule 4 hangs the spherical weight 5 that is used for doing circular motion, it is characterized in that:
Vertical panel 1 is fixedly connected with one for making weight 5 not be subject to fine rule 4 pulling force behind equilibrium position and retraining the clamping device 7 of weight 5 motion, described clamping device 7 is that such (accompanying drawing 4 is vertical views of clamping device 7, and represent weight 5 when equilibrium position and the position relationship of clamping device 7-----only show the position relationship of vertical direction, accompanying drawing 5 is structural representations of clamping device 7.）：
Clamping device 7 be provided with for retrain weight 5 move arc-shaped rail 72, arc-shaped rail 72 is circular arc at the section shape of perpendicular, each tangent plane in arc-shaped rail 72 place perpendicular to vertical panel 1,
The radius-of-curvature of arc-shaped rail 72 is less than the radius of trajectory 51,
Arc-shaped rail bottom 71 tangent line be horizontal direction, arc-shaped rail bottom 71 positions a little less than the minimum point of trajectory 51,
The distance of arc-shaped rail 72 upper end distance magnetic post 3 is less than the radius of trajectory 51,
Two sides of arc-shaped rail 72 are all fixedly connected with side plate 73, side plate 73 place plane is perpendicular, the inner face of two side plates 73 all stick be made up of resilient material, for clamping the fixture block 74 of weight 5, fixture block 74 is being change like this apart from the thickness of its horizontal direction of guide rail same distance place: the lower end fixture block 74 of arc-shaped rail 72 is thinner, and the upper end fixture block 74 of arc-shaped rail 72 is thicker.
Explain: trajectory 51, when trajectory 51 refers to that weight 5 does circular movement (also can be called simple harmonic motion, be also one section of arc of circular motion simultaneously), the track of the process bottom of weight 5.Naturally, trajectory 51 is one section of circular arc.
Fixture block 74 can be made up of sponge.
Using method: magnetic post 3 is adsorbed in vertical panel 1, weight 5 is allowed to depart from equilibrium position, and guarantee that the shape of fine rule 4 is straight line, and guarantee that fine rule 4 is parallel to vertical panel 1, then weight 5 is discharged, many experiments, finds this position: when this position release weight 5, weight 5 can forget about it magnetic post 3 just when circular motion.Mark this position.In order to the convenience stated, this position is designated as A position.
Pinch weight 5 with hand, make weight 5 be positioned at A position, then start this experiment shooting.
Release weight 5, fine rule 4 is just after vertical direction, weight 5 just enters arc-shaped rail 72 immediately, weight 5 is once contact with arc-shaped rail 72, and fine rule 4 pulling force just reduces, and weight 5 continues to move along arc-shaped rail 72 due to inertia, fine rule 4 pulling force disappears, lose the pulling force of fine rule 4 to weight 5 through equilibrium position from weight 5, the arc length of process very short, the time experienced is also very short.Weight 5 enters fixture block 74, is subject to elastic force that fixture block 74 applies and friction force, is finally sandwiched in fixture block 74, because weight 5 has initial velocity before entering fixture block 74, again because fixture block 74 there occurs obvious deformation, so, also can not slide again after weight 5 speed is kept to zero.
The above-mentioned video of slow play, can see: fine rule 4, through vertical direction, enters arc-shaped rail 72, and fine rule 4 almost starts to bend simultaneously----that is pulling force disappearance.Magnetic post 3 still keeps horizontal direction to be adsorbed on vertical panel 1, through the time of about 0.2 second, obviously observes magnetic post 3 topple over from video.
Illustrate thus: 1, do this experiment by prior art and do not see that weight 5 forgets about it magnetic post 3 when minimum point, not because the deformation of fine rule 4 needs the reason of corresponding time, but because toppling over of magnetic post 3 is a process from slow to fast, the starting stage of toppling over, even if slow motion plays video, be also difficult to find that magnetic post 3 is obviously toppled over.Use device of the present invention, can prove: weight 5 when minimum point, pulling force truly have maximal value, and pulling force is greater than the gravity of weight 5.
Embodiment two
See accompanying drawing 6, accompanying drawing 6 is structural representations of clamping device 7, and depict the sectional view of fixture block 74, because weight 5 is spherical, in order to better clamp weight 5, guarantee that weight 5 does not slide, embodiment two see shown in accompanying drawing 7: perpendicular to arc-shaped rail 72 tangent plane and simultaneously perpendicular to the direction of vertical panel 1, the thickness of fixture block 74 is changes like this: more nearby, fixture block 74 is thinner for distance arc-shaped rail 72, remotely, fixture block 74 is thicker for distance arc-shaped rail 72.Can apply larger pressure like this, maximum static friction force also can increase.
To further explanation of the present invention:
In order to allow weight 5 behind equilibrium position, fine rule 4 pulling force that allows as early as possible disappears, and can limit like this: 71 be 1 to a thirtieth/10th of fine rule 4 length to the arc length of upper end process bottom along arc-shaped rail.Such restriction, just can get rid of " because fine rule 4 deformation needs the time just to cause magnetic post 3 to postpone to topple over ".
Can also optimize like this:
Magnetic post 3 shape can be right cylinder.
Arc-shaped rail 72 can be flake.
The each tangent plane in arc-shaped rail 72 place is perpendicular to vertical panel 1, because arc-shaped rail 72 is curved surfaces, so not talkative curved vertical is in vertical plane, and says that each tangent plane of curved surface is perpendicular to perpendicular.
The radius-of-curvature of arc-shaped rail 72 is less than the radius of trajectory 51, the words says, weight 5 moving radius is allowed to reduce, fine rule 4 pulling force can be allowed to be 0, so, magnetic post 3 only under tension before fine rule 4 swings to vertical position can be guaranteed, after fine rule 4 swings to vertical position, weight 5 enters track as early as possible, and weight 5 is supported by arc-shaped rail 72, and the pulling force of fine rule 4 disappears.Strictly speaking, fine rule 4 is after vertical position, and in extremely short time, very short arc length, fine rule 4 pairs of magnetic posts 3 still have pulling force, but, still can reach the technical problem to be solved in the present invention.For example: time weight 5 freely swings, after vertical position, continue swing 40 degree of angle magnetic posts 3 to topple over, employ device of the present invention, fine rule 4 is after vertical position, and be less than when 5 degree at continuation pendulum angle, weight 5 just enters track, cause that fine rule 4 is bending, pulling force disappears, but magnetic post 3 has still been outwelled, this has just illustrated, outwelling of magnetic post 3, because fine rule 4 deformation needs the reason of time, but magnetic post 3 to outwell be a reason from slow to fast.
Arc-shaped rail bottom 71 tangent line be horizontal direction, arc-shaped rail bottom 71 positions a little less than the minimum point of trajectory 51, " summary " word, normally unclear statement.But after various equivalent modifications has seen this instructions, be appreciated that this slightly word, this slightly means this: the condition that elastic force produces has two necessary factors: 1, contact, 2, there is deformation.In actual mechanical process, only contact does not still have deformation so that do not have elastic force to be difficult to accomplish, so, arc-shaped rail bottom 71 positions a little less than the minimum point of trajectory 51, in other words allow weight 5 behind equilibrium position, as early as possible enter arc-shaped rail 72, then, fine rule 4 is subject to the elastic force that arc-shaped rail 72 applies, then fine rule 4 is allowed not to be subject to elastic force, if allow weight 5 in just past equilibrium position just and arc-shaped rail 72 create elastic force, so, the elastic force of fine rule 4 can change because there being the holding power of arc-shaped rail 72.In other words: time weight 5 is just past equilibrium position, weight 5 does not contact with arc-shaped rail 72, weight 5 just through equilibrium position, just having touched arc-shaped rail 72 and being subject to the elastic force that arc-shaped rail 72 applies as early as possible.Such explanation, various equivalent modifications just can understand the implication of slightly word.If the summary word of also feeling belongs to unclear statement, can limit: arc-shaped rail is 71 positions 0.1mm-2mm lower than the minimum point of trajectory 51 bottom.
Various equivalent modifications should be known, in order to make demonstrating effect better, fixture block 74 is to be positioned at arc-shaped rail 72 lower end spacing larger, fixture block 74 is to be positioned at arc-shaped rail 72 upper end spacing less, and spacing gradually changes, and fixture block 74 is being positioned at arc-shaped rail 72 upper end, fixture block 74 spacing is less than the diameter of spherical weight 5, weight 5 is through minimum point, discord fixture block 74 contacts, this is that various equivalent modifications should be known, because, the state needing most concern is exactly the state of weight 5 through minimum point, so, can not extra impact be applied in weight 5 bottom to the process of minimum point weight 5.
Fine rule length can be 1m, can be 0.9m, can be 1.1m.
Structure of the present invention is simple, is beneficial to and probes into more dynamic (dynamical) problems, as complementary experimental provision, can accomplish that experimental phenomena conforms to theory.
Claims (1)
1. one kind for studying dynamic (dynamical) device, comprise vertical panel, be positioned at vertical panel lower end for supporting the base of vertical panel, vertical panel is fabricated from iron, also comprise that be made up of permanent magnet, shape is a column magnetic post, magnetic post one end is adsorbed in vertical panel, magnetic post other end bolt fine rule
The upper end of fine rule is bolted to magnetic post, and the lower end of fine rule hangs the spherical weight that is used for doing circular motion, it is characterized in that:
Vertical panel is fixedly connected with one for making weight not be subject to fine rule pulling force behind equilibrium position and retraining the clamping device of weight motion, and described clamping device is such:
Clamping device be provided with for retrain weight motion arc-shaped rail, arc-shaped rail is circular arc at the section shape of perpendicular, each tangent plane in arc-shaped rail place perpendicular to vertical panel,
The radius-of-curvature of arc-shaped rail is less than the radius of trajectory,
Arc-shaped rail tangent line is bottom horizontal direction, arc-shaped rail lowest positions a little less than the minimum point of trajectory,
The distance of arc-shaped rail upper end distance magnetic post is less than the radius of trajectory,
Two sides of arc-shaped rail are all fixedly connected with side plate, side plate place plane is perpendicular, the inner face of two side plates all stick be made up of resilient material, for clamping the fixture block of weight, fixture block is being change like this apart from the thickness of its horizontal direction of guide rail same distance place: the lower end fixture block of arc-shaped rail is thinner, and the upper end fixture block of arc-shaped rail is thicker.
Priority Applications (3)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510051060.0A CN104575188B (en) | 2015-01-30 | 2015-01-30 | One kind is used to study dynamic (dynamical) device |
| CN201810146642.0A CN108198491B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
| CN201810076085.XA CN108230839B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510051060.0A CN104575188B (en) | 2015-01-30 | 2015-01-30 | One kind is used to study dynamic (dynamical) device |
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| Application Number | Title | Priority Date | Filing Date |
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| CN201810146642.0A Division CN108198491B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
| CN201810076085.XA Division CN108230839B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
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| Publication Number | Publication Date |
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| CN104575188A true CN104575188A (en) | 2015-04-29 |
| CN104575188B CN104575188B (en) | 2018-05-08 |
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| CN201810146642.0A Active CN108198491B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
| CN201510051060.0A Active CN104575188B (en) | 2015-01-30 | 2015-01-30 | One kind is used to study dynamic (dynamical) device |
| CN201810076085.XA Expired - Fee Related CN108230839B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
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| CN201810146642.0A Active CN108198491B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN201210360Y (en) * | 2008-04-11 | 2009-03-18 | 袁柱豪 | Instructional medium for circumferential movement demonstration |
| CN202838755U (en) * | 2012-10-06 | 2013-03-27 | 刘昊雨 | Teaching demonstration instrument of circular motion |
| CN103354050A (en) * | 2013-08-01 | 2013-10-16 | 陈廷 | Multi-state motion study apparatus |
| CN103794117A (en) * | 2014-01-27 | 2014-05-14 | 刘淑英 | Circular motion presentation device |
Family Cites Families (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| FR2365803A1 (en) * | 1976-09-22 | 1978-04-21 | Nicolas Roger | Elastic and inelastic collision appts. - has two pendula with magnetically held indices which are removed at extremes of oscillation to indicate amplitude of movement |
| SU982070A1 (en) * | 1981-06-04 | 1982-12-15 | Всесоюзное Специализированное Научно-Производственное Объединение "Союзвузприбор" | Device for demonstrating oscillations |
| CN203849912U (en) * | 2014-05-21 | 2014-09-24 | 朱英杰 | Multifunctional simple pendulum experiment table easy to use |
| CN203910105U (en) * | 2014-06-25 | 2014-10-29 | 南宁市第二中学 | Single pendulum experiment instrument |
-
2015
- 2015-01-30 CN CN201810146642.0A patent/CN108198491B/en active Active
- 2015-01-30 CN CN201510051060.0A patent/CN104575188B/en active Active
- 2015-01-30 CN CN201810076085.XA patent/CN108230839B/en not_active Expired - Fee Related
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN201210360Y (en) * | 2008-04-11 | 2009-03-18 | 袁柱豪 | Instructional medium for circumferential movement demonstration |
| CN202838755U (en) * | 2012-10-06 | 2013-03-27 | 刘昊雨 | Teaching demonstration instrument of circular motion |
| CN103354050A (en) * | 2013-08-01 | 2013-10-16 | 陈廷 | Multi-state motion study apparatus |
| CN103794117A (en) * | 2014-01-27 | 2014-05-14 | 刘淑英 | Circular motion presentation device |
Also Published As
| Publication number | Publication date |
|---|---|
| CN108198491A (en) | 2018-06-22 |
| CN108198491B (en) | 2019-09-24 |
| CN108230839A (en) | 2018-06-29 |
| CN108230839B (en) | 2019-11-01 |
| CN104575188B (en) | 2018-05-08 |
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Effective date of registration: 20180412 Address after: 317523 floor two, No. 68, A District, Chencun village, Wenling, Taizhou, Zhejiang Applicant after: TAIZHOU DINGTUO INDUSTRIAL DESIGN Co.,Ltd. Address before: 830002 Qingnian Road Urumqi No. 1 middle school, Urumqi Bayi Middle School, No. 15, Applicant before: Wang Zhenhuan |
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