CN104575188B - One kind is used to study dynamic (dynamical) device - Google Patents
One kind is used to study dynamic (dynamical) device Download PDFInfo
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- CN104575188B CN104575188B CN201510051060.0A CN201510051060A CN104575188B CN 104575188 B CN104575188 B CN 104575188B CN 201510051060 A CN201510051060 A CN 201510051060A CN 104575188 B CN104575188 B CN 104575188B
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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
- 239000013013 elastic material Substances 0.000 claims description 3
- 238000011160 research Methods 0.000 abstract description 3
- 238000002474 experimental method Methods 0.000 description 10
- 230000005484 gravity Effects 0.000 description 5
- 238000000034 method Methods 0.000 description 4
- 238000012986 modification Methods 0.000 description 4
- 230000004048 modification Effects 0.000 description 4
- 238000004458 analytical method Methods 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
- 230000009286 beneficial effect Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 238000010521 absorption reaction Methods 0.000 description 1
- 238000005452 bending Methods 0.000 description 1
- 230000000295 complement effect Effects 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
- 230000003068 static effect Effects 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 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
Abstract
The invention belongs to kinetics research device field, especially studies the dynamics device involved by circular motion.One filament fastens a weight and moves in a circle in perpendicular, experimental phenomena and theoretical situation about not being inconsistent occurs, in order to explain correct, a kind of device of present invention proposition of the phenomenon and certification theory：One kind is used to study dynamic (dynamical) device, including vertical panel, magnetic pole, filament, weight, it is characterized in that：Vertical panel is fixedly connected with clamping device, and the clamping device is such：Clamping device is equipped with arc-shaped rail, and arc-shaped rail is fixedly connected with side plate, and the inner face of side plate has sticked fixture block, and fixture block thickness of its horizontal direction at away from guide rail same distance so changes：The lower end fixture block of arc-shaped rail is relatively thin, and the upper end fixture block of arc-shaped rail is thicker.The thickness of fixture block so changes：Apart from arc-shaped rail more nearby, fixture block is relatively thin, and, fixture block is thicker apart from arc-shaped rail remotely.
Description
Technical field
The invention belongs to kinetics research device field, especially studies the dynamics device involved by circular motion.
Background technology
One filament fastens a weight and moves in a circle in perpendicular, and weight pulling force in minimum point is more than gravity,
And minimum point pulling force it is maximum-this be all easily by theoretical proof, to show this phenomenon with experiment, prior art discloses
A kind of device for studying circular motion：Vertical panel, the base of vertical panel, vertical plane are used to support positioned at vertical panel lower end
Plate is made of iron plate, further include one made of permanent magnet, shape be columnar magnetic pole, magnetic pole one end is adsorbed in vertical plane
Plate, the magnetic pole other end bolt a filament, and the upper end of filament is bolted to magnetic pole, and the lower end of filament hangs a weight.The device
Application method：The first step, certain altitude is risen by weight, and：1, filament is in linear state；2, filament deviates vertical position
Put.Second step, discharges weight, and weight starts to do the movement that shape is circular arc, i.e.,：A part for circular motion.Selection is suitable
Releasing position, can reach such effect：Weight is discharged in this position, magnetic pole can be forgotten about it just.Theory analysis is as follows：
The pulling force that weight is subject to is represented with T, represents the gravity that weight is subject to G, the quality of weight is represented with m, represents that weight passes through with v
The speed of minimum point, the radius of weight circular motion is represented with r, is derived byThen, minimum spot speed is obtained
Spend bigger, the bigger pulling force T conclusions of v.Aid in explaining with the experiment：Magnetic pole is forgotten about it, and illustrates that pulling force T force of gravity is big.Experiment behaviour
Author recorded the video of the experiment, when playing video frame by frame, find：Magnetic pole is not fallen down in weight in minimum point,
But after substantially have passed through minimum point, magnetic pole is just fallen.Experimental implementation person repeats to test multiple, recorded video and frame by frame every time
Play, find the phenomenon.This phenomenon and theory are not inconsistent.Do not found before this phenomenon by people：Want slow play
It is observed that this phenomenon.Outwelled from weight by minimum point to magnetic pole, about last 0.2 second.The time of 0.2 second, about
That the device hangs 1/the 8 of weight period of single pendulum, in this 0.2 second, weight pass through distance be about amplitude three/
Two, the angle of filament and vertical direction is about 40 degree.So do not go out the phenomenon usually from the time, slow play
When, it can deviate from weight and the phenomenon is observed in the distance of equilbrium position.
For stringent, the experiment and theory are not inconsistent, which should not be used in the dynamic (dynamical) teaching of circular motion.Change
Sentence is talked about：A new device is researched and developed, minimum point pulling force can be demonstrated and be more than the experiment of gravity, and overcome drawbacks described above.
Since research and develop the problem of new device is it is necessary to know existing apparatus go out where.There are two kinds of sayings：1, filament
Deformation needs the time, this time is about 0.2s, waits filament to complete deformation, and magnetic pole is just subject to the pulling force of bigger and is drawn
.2, magnetic pole just has begun to topple in weight by minimum point, and still, the length of magnetic pole falls short of, after 0.2 second,
It will become apparent from carrying out magnetic pole outwelling.Both sayings sound it is all reasonable, if judging which kind of saying is correct with knowwhy,
This is extremely complex theoretical question.
On this phenomenon, there are other explanations, those explanations can directly be excluded by theory analysis, so, in this theory
Just do not described in bright book.
The present invention proposes a kind of device, which can be with：1, verifying above two saying, which kind of is correct.2, overcome existing dress
The shortcoming put, and reach the beneficial effect that experimental phenomena is consistent with theory.
The content of the invention
Technical solution is used by the present invention overcomes the shortage of prior art：
One kind is used to study dynamic (dynamical) device, including vertical panel, and vertical plane is used to support positioned at vertical panel lower end
The base of plate, vertical panel are fabricated from iron, further include one made of permanent magnet, shape be columnar magnetic pole, magnetic pole one end
Vertical panel is adsorbed in, the magnetic pole other end bolts a filament,
The upper end of filament is bolted to magnetic pole, and the lower end of filament hangs a spherical weight for being used for doing circular motion, it is special
Sign is：
Vertical panel is fixedly connected with one and is used to make weight behind equilbrium position from filament pulling force and constrains weight
The clamping device of movement, the clamping device are such：
Clamping device is equipped with the arc-shaped rail for being used for constraining weight movement, section shape of the arc-shaped rail in perpendicular
Shape to be arc-shaped, each section where arc-shaped rail perpendicular to vertical panel,
The radius of curvature of arc-shaped rail is less than the radius of path line,
Arc-shaped rail the lowermost tangent line is horizontally oriented, and arc-shaped rail lowest positions are slightly below path line most
Low spot,
Distance of the arc-shaped rail upper end away from magnetic pole is less than the radius of path line,
Two sides of arc-shaped rail have been fixedly connected with side plate, and plane where side plate is perpendicular, two side plates
Inner face stick fixture block made of elastic material, for clamping weight, fixture block its water at away from guide rail same distance
Square to thickness so change：The lower end fixture block of arc-shaped rail is relatively thin, and the upper end fixture block of arc-shaped rail is thicker.
It is so to change perpendicular to arc-shaped rail section and both perpendicular to the direction of vertical panel, the thickness of fixture block
's：Apart from arc-shaped rail more nearby, fixture block is relatively thin, and, fixture block is thicker apart from arc-shaped rail remotely.
The arc length passed through along arc-shaped rail bottom to upper end is 1st to a thirtieth/10th of filament length.
The configuration of the present invention is simple, related experiment is done with the present invention, and experimental phenomena can be allowed to be consistent with theory analysis perfection.
Brief description of the drawings
Fig. 1 is the front view of the prior art.
Fig. 2 is the side view of the prior art.
Fig. 3 is the front view 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 structural 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 panels, 2- bases, 3- magnetic poles, 4- filaments, 5- weights, 51- path lines, 7- clamping devices, 71-
Arc-shaped rail bottom, 72- arc-shaped rails, 73- side plates, 74- fixture blocks.
Embodiment
Attached drawing 1,2 is the front view and side view of the prior art respectively：The prior art includes vertical panel 1, positioned at vertical
1 lower end of panel is used to support the base 2 of vertical panel 1, and vertical panel 1 is fabricated from iron, further include one made of permanent magnet,
Shape is columnar magnetic pole 3, and 3 one end of magnetic pole is adsorbed in vertical panel 1, and 3 other end of magnetic pole bolts a filament 4, filament 4 it is upper
End is bolted to magnetic pole 3, and the lower end of filament 4 hangs a weight 5 for being used for doing circular motion.
Embodiment one
It is front view of the invention referring to attached drawing 3, one kind is used to study dynamic (dynamical) device, including vertical panel 1, position
The base 2 of vertical panel 1 is used to support in 1 lower end of vertical panel, vertical panel 1 is fabricated from iron, and further includes one by permanent magnet
Manufactured, shape is columnar magnetic pole 3, and 3 one end of magnetic pole is adsorbed in vertical panel 1, and 3 other end of magnetic pole bolts a filament 4,
The upper end of filament 4 is bolted to magnetic pole 3, and the lower end of filament 4 hangs a spherical weight 5 for being used for doing circular motion,
It is characterized in that：
Vertical panel 1 is fixedly connected with one and is used to make weight 5 behind equilbrium position from 4 pulling force of filament and constrains weight
Thing 5 move clamping device 7, the clamping device 7 be it is such (attached drawing 4 is the top view of clamping device 7, and represent weight
Thing 5 is at equilbrium position and the position relationship --- -- of clamping device 7 only shows the position relationship of vertical direction, and attached drawing 5 is clamping
The structure diagram of device 7.)：
Clamping device 7 is equipped with the arc-shaped rail 72 for being used for constraining the movement of weight 5, and arc-shaped rail 72 is in perpendicular
Section shape to be arc-shaped, each section where arc-shaped rail 72 perpendicular to vertical panel 1,
The radius of curvature of arc-shaped rail 72 is less than the radius of path line 51,
The tangent line of arc-shaped rail bottom 71 is horizontally oriented, and 71 position of arc-shaped rail bottom is slightly below path line
51 minimum point,
Distance of 72 upper end of arc-shaped rail away from magnetic pole 3 is less than the radius of path line 51,
Two sides of arc-shaped rail 72 have been fixedly connected with side plate 73, and 73 place plane of side plate is perpendicular, and two
The inner face of a side plate 73 sticks the fixture block 74 made of elastic material, for clamping weight 5, and fixture block 74 is away from guide rail phase
The thickness of its horizontal direction so changes at same distance：The lower end fixture block 74 of arc-shaped rail 72 is relatively thin, arc-shaped rail
72 upper end fixture block 74 is thicker.
Explain：Path line 51, path line 51 refer to weight 5 do circular movement (be referred to as simple harmonic motion, while
It is one section of arc of circular motion) when, the track of the bottom process of weight 5.Naturally, path line 51 is one section of circular arc.
Fixture block 74 can be made of sponge.
Application method：Magnetic pole 3 is adsorbed in vertical panel 1, allows weight 5 to deviate equilbrium position, and ensure the shape of filament 4
Shape is straight line, and ensures that filament 4 parallel to vertical panel 1, then discharges weight 5, many experiments, find this position：
When the position discharges weight 5, weight 5 can forget about it magnetic pole 3 in circular motion just.Mark the position.For the side of statement
Just, which is denoted as location A.
Weight 5 is pinched with hand, weight 5 is located at location A, is then started to this experiment shooting.
Weight 5 is discharged, after filament 4 is just through vertical direction, weight 5 has been put into arc-shaped rail 72, weight 5 one immediately
Denier and arc-shaped rail 72 contact, and 4 pulling force of filament is reduced by, and weight 5 is moved since inertia continues on arc-shaped rail 72, carefully
4 pulling force of line disappears, and loses the pulling force of filament 4 to weight 5 by equilbrium position from weight 5, the arc length passed through is very short, is undergone
Time it is also very short.Weight 5 enters fixture block 74, is subject to elastic force and frictional force that fixture block 74 is applied, is finally sandwiched in fixture block
In 74 because weight 5 has an initial velocity before entering fixture block 74, and because fixture block 74 there occurs obvious deformation, weight 5 is fast
Degree will not slide again after being kept to zero to be come.
The above-mentioned video of slow play, it can be seen that：Filament 4 passes through vertical direction, enters arc-shaped rail 72, filament 4
Almost start simultaneously at bending ----that is pulling force disappearance.Magnetic pole 3 still maintains horizontal direction absorption in vertical panel 1, warp
The time of about 0.2 second is spent, substantially observes that magnetic pole 3 is toppled over from video.
Thus illustrate：1, do not see that weight 5 forgets about it magnetic pole 3 in minimum point to do the experiment with the prior art, be not
Because the deformation of filament 4 needs the reason for corresponding time, but because toppling over for magnetic pole 3 is a process from slow to fast, incline
Starting stage, even if slow motion plays video, it is also difficult to find that magnetic pole 3 is substantially toppled over., can with device of the present invention
To prove：For weight 5 in minimum point, pulling force truly has maximum, and pulling force is more than the gravity of weight 5.
Embodiment two
Referring to attached drawing 6, attached drawing 6 is the structure diagram of clamping device 7, and depicts the profile of fixture block 74, because
Weight 5 is spherical, in order to preferably clamp weight 5, it is ensured that weight 5 does not slide, referring to the embodiment two shown in attached drawing 7：Hang down
Directly so change in 72 section of arc-shaped rail and both perpendicular to the direction of vertical panel 1, the thickness of fixture block 74：Distance
More nearby, fixture block 74 is relatively thin for arc-shaped rail 72, and, fixture block 74 is thicker apart from arc-shaped rail 72 remotely.It can so apply
The pressure of bigger, maximum static friction force can also increase.
The present invention is explained further：
In order to allow weight 5 behind equilbrium position, as early as possible allow 4 pulling force of filament disappear, can so limit：Along circular arc
The arc length that shape guide rail bottom 71 is passed through to upper end is 1st to a thirtieth/10th of 4 length of filament.So limit, so that it may
To exclude " because 4 deformation of filament needs the time just to cause the delay of magnetic pole 3 to be toppled over ".
Can also so it optimize：
3 shape of magnetic pole can be cylinder.
Arc-shaped rail 72 can be flake.
Each section, cannot because arc-shaped rail 72 is curved surface perpendicular to vertical panel 1 where arc-shaped rail 72
Curved vertical is said in vertical plane, and says each section of curved surface perpendicular to perpendicular.
The radius of curvature of arc-shaped rail 72 is less than the radius of path line 51, and the words is to say, allows 5 moving radius of weight to subtract
Small, it is 0 that can allow 4 pulling force of filament, thus it is possible to ensure the only under tension before filament 4 swings to vertical position of magnetic pole 3,
Filament 4 is swung to after vertical position, and weight 5 enters track as early as possible, and weight 5 is supported by arc-shaped rail 72, the drawing of filament 4
Power disappears.Strictly speaking, filament 4 is after vertical position, and in by extremely short time, very short arc length, filament 4 is to magnetic pole
3 still have pulling force, still, still can reach the technical problem to be solved in the present invention.For example：Weight 5 freely swings
When, after vertical position, continue 40 degree of angle magnetic poles 3 of swing and topple over, used device of the present invention, carefully
Line 4 is after vertical position, and when swing angle is continued less than 5 degree, weight 5 has been put into track, causes filament 4 curved
Bent, pulling force disappears, but magnetic pole 3 is still outwelled, this just illustrates, magnetic pole 3 is outwelled, when being not as 4 deformation of filament needs
Between the reason for, but magnetic pole 3 outwell be one from slow to fast the reason for.
The tangent line of arc-shaped rail bottom 71 is horizontally oriented, and 71 position of arc-shaped rail bottom is slightly below path line
51 minimum point, typically " summary " word, unclear statement., can but various equivalent modifications have been seen after this specification
To understand that this omits 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, it is difficult to accomplish only to contact still no deformation down to no elastic force, so, arc-shaped rail is most
71 position of lower end is slightly below the minimum point of path line 51, that is allowing weight 5, entrance as early as possible is arc-shaped behind equilbrium position
Guide rail 72, then, filament 4 are subject to the elastic force that arc-shaped rail 72 applies, and then allow filament 4 not to be subject to elastic force, if allowing weight 5
When just past equilbrium position just and arc-shaped rail 72 generates elastic force, then, the elastic force of filament 4 can be because of having
The holding power of arc-shaped rail 72 and change.In other words：When weight 5 is just past equilbrium position, weight 5 and circle
Arc-shaped guide rail 72 does not contact, and weight 5 is just through equilbrium position, just having touched arc-shaped rail 72 and being subject to arc-shaped as early as possible
The elastic force that guide rail 72 applies.So explain, various equivalent modifications are it will be appreciated that omit the implication of word.If the summary also felt
Word belongs to unclear statement, can limit：71 position of arc-shaped rail bottom is lower 0.1mm- than the minimum point of path line 51
2mm。
Various equivalent modifications are it is to be understood that in order to make demonstrating effect more preferable, and fixture block 74 is positioned at arc-shaped rail 72
Spacing is larger at lower end, fixture block 74 at 72 upper end of arc-shaped rail spacing it is smaller, and spacing gradually changes, and fixture block 74
At 72 upper end of arc-shaped rail, fixture block 74 is smaller than the diameter of spherical weight 5, and weight 5 is when by minimum point, no
Contacted with fixture block 74, this is that various equivalent modifications should know, because the most need to pay attention state is exactly that weight 5 passes through
The state of minimum point is crossed, so, it is impossible to apply extra influence to weight 5 during 5 bottom of weight is to minimum point.
Filament length can be 1m, can be 0.9m, can be 1.1m.
The configuration of the present invention is simple, beneficial to some dynamic (dynamical) problems are probed into, as complementary experimental provision, can accomplish reality
Phenomenon is tested with theory to be consistent.
Claims (1)
1. one kind is used to study dynamic (dynamical) device, including vertical panel, vertical panel is used to support positioned at vertical panel lower end
Base, vertical panel is fabricated from iron, further include one made of permanent magnet, shape be columnar magnetic pole, magnetic pole one end is inhaled
Vertical panel is invested, the magnetic pole other end bolts a filament,
The upper end of filament is bolted to magnetic pole, and the lower end of filament hangs a spherical weight for being used for doing circular motion, it is characterized in that：
Vertical panel is fixedly connected with one and is used to make weight behind equilbrium position from filament pulling force and constrains weight movement
Clamping device, the clamping device is such：
Clamping device is equipped with the arc-shaped rail for being used for constraining weight movement, and arc-shaped rail is in the section shape of perpendicular
It is arc-shaped, each section where arc-shaped rail perpendicular to vertical panel,
The radius of curvature of arc-shaped rail is less than the radius of path line,
Arc-shaped rail the lowermost tangent line is horizontally oriented, and arc-shaped rail lowest positions are lower than the minimum point of path line
2mm, distance of the arc-shaped rail upper end away from magnetic pole are less than the radius of path line,
Two sides of arc-shaped rail have been fixedly connected with side plate, and plane where side plate is perpendicular, two side plates it is interior
Face sticks the fixture block made of elastic material, for clamping weight, fixture block its level side at away from guide rail same distance
To thickness so change：The lower end fixture block of arc-shaped rail compares the upper end fixture block of arc-shaped rail, arc-shaped to lead
The lower end fixture block of rail is thin, and the upper end fixture block of arc-shaped rail is thick.
Priority Applications (3)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810076085.XA CN108230839B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
| CN201810146642.0A CN108198491B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
| CN201510051060.0A CN104575188B (en) | 2015-01-30 | 2015-01-30 | One kind is used to study 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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| CN201810076085.XA Division CN108230839B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
| CN201810146642.0A Division CN108198491B (en) | 2015-01-30 | 2015-01-30 | One kind is for studying dynamic (dynamical) device |
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| CN104575188A CN104575188A (en) | 2015-04-29 |
| CN104575188B true CN104575188B (en) | 2018-05-08 |
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| CN201510051060.0A Active CN104575188B (en) | 2015-01-30 | 2015-01-30 | One kind is used to study dynamic (dynamical) device |
| 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 CN201810076085.XA patent/CN108230839B/en not_active Expired - Fee Related
- 2015-01-30 CN CN201510051060.0A patent/CN104575188B/en active Active
- 2015-01-30 CN CN201810146642.0A patent/CN108198491B/en active Active
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 |
|---|---|
| CN108230839B (en) | 2019-11-01 |
| CN104575188A (en) | 2015-04-29 |
| CN108198491B (en) | 2019-09-24 |
| CN108230839A (en) | 2018-06-29 |
| CN108198491A (en) | 2018-06-22 |
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