CN107731062A - A kind of center of mass motion theorem demenstration method - Google Patents
A kind of center of mass motion theorem demenstration method Download PDFInfo
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- CN107731062A CN107731062A CN201711054001.4A CN201711054001A CN107731062A CN 107731062 A CN107731062 A CN 107731062A CN 201711054001 A CN201711054001 A CN 201711054001A CN 107731062 A CN107731062 A CN 107731062A
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- 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
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Abstract
The present invention discloses a kind of center of mass motion theorem demenstration method, including conical plate, it is characterized in that：Disk is provided with the conical plate, bottom plate is provided with the disk, one end of fixing axle and one end of one group of symmetric support bar are fixed with the bottom plate, the other end of support bar is fixed with U-shaped support described in one group, the side plate of two handle center's axles through the be hinged U-shaped support is respectively fixedly connected with one end of shape of chinese word Ji connecting rod, circular shaft of the other end of each shape of chinese word Ji connecting rod in fixed plate, the middle part of each shape of chinese word Ji connecting rod is hinged one end of L-type connecting rod, the other end of each L-type connecting rod is hinged the upper end of oscillating deck, the both sides of each oscillating deck are fixedly connected with one end of rotary shaft, the other end of each rotary shaft is hinged on the projection at the U-shaped support both ends, the side of each fixed block is each attached in the fixing axle.
Description
Technical field
The present invention relates to the physics teaching field of center of mass motion theorem, specifically, is related to a kind of center of mass motion theorem and drills
Show method.
Background technology
Center of mass motion theorem is one of physical kinetics general Theorem, can be expressed as：The center of mass motion of system of material points and one
Motion positioned at the particle of barycenter is identical, and the quality of the particle is equal to the gross mass of system of material points, and the active force on the particle is then
On this point of abreast being moved on to equal to all external force acted on system of material points.It is not special for the teaching demonstration of the theorem at present
Instructional device.This is the deficiencies in the prior art part.
The content of the invention
It is convenient to demonstrate center of mass motion the technical problem to be solved in the present invention is to provide a kind of center of mass motion theorem demenstration method
Theorem.
The present invention, which adopts the following technical scheme that, realizes goal of the invention：
A kind of center of mass motion theorem demenstration method, it is characterized in that：Comprise the following steps：
(1) present apparatus is positioned on the water surface, loosens tight fixed bolt (23), while rotate two handles (24), drive two
Shape of chinese word Ji connecting rod (26) is drawn close to centre, and the upper end for driving oscillating deck (21) by L-type connecting rod (25) is drawn close to central rotational, then
The lower end of oscillating deck (21) drives swing ball (12) to be swung up, and two swing the angles increase of balls (12), are adjusted to correct position
Afterwards, tightening tight fixed bolt (23), to withstand the side plate of U-shaped support (22) fixed by two handles (24)；
(2) and then the corner dimension of two swing balls (12) is fixed, after adjustment, cylinder (8) and motor (10) running, electricity
Machine (10) rotates, and drives U type connecting rod (11) to move in a circle, and when the piston rod of cylinder (8) shrinks, drive motor (10) moves down,
One end of the L-type connecting rod (9) of motor (10) both sides connection moves down along targeting port (8a), the bar meeting at U type connecting rod (11) both ends
Move down and be close to V-type connecting plate (7) so as to drive circular groove (17) and symmetrical chute (5) to rotate when U type connecting rod (11) rotates, this is dress
That puts rotates forward, because fixing axle (18) is fixed, so two ropes (6) of fixing axle (18) both sides connection can wind
In fixing axle (18), two ropes (6) elongate spring (2) by ball (3) respectively, spring (2) is in extended state；
(3) when the piston rod elongation of cylinder (8), pushing motor one (10) moves up, the L of motor (10) both sides connection
One end of type connecting rod (9) moves up along targeting port (8a), and the bar at U type connecting rod (11) both ends will be shifted up, now U type connecting rod (11)
The bar at both ends does not contact with V-type connecting plate (7), two springs (2) retracted for clearance, drives rope (6) to rotate backward by ball (3)
Depart from fixing axle (18), so as to drive circular groove (17) and symmetrical chute (5) to be rotated to opposite direction, this is rotated backward for device,
Record rotate forward with the counter-rotational time, continue the folders that increase two swings balls (12) the step of the handle of repeated rotation two (24)
Angle, after repeating the above steps, record increases two and swings the time for rotating forward and inverting after ball (12) angle.
As the further restriction to the technical program, described device includes conical plate (16), on the conical plate (16)
Disk (15) is provided with, bottom plate (13) is provided with the disk (15), fixing axle (18) is fixed with the bottom plate (13)
One end and one end of one group of symmetric support bar (14), the other end of support bar (14) described in one group are fixed with U-shaped support (22), and two
Handle (24) central shaft is respectively fixedly connected with the one of shape of chinese word Ji connecting rod (26) through the side plate of the be hinged U-shaped support (22)
End, the other end of each shape of chinese word Ji connecting rod (26) are hinged on the circular shaft (19) of fixed plate (20), and each shape of chinese word Ji connects
The middle part of bar (26) is hinged one end of L-type connecting rod (25), and the other end of each L-type connecting rod (25) is hinged oscillating deck (21)
Upper end, the both sides of each oscillating deck (21) are fixedly connected with rotary shaft (21a) one end, each rotary shaft (21a)
The other end is hinged on the projection at U-shaped support (22) both ends, and each the side of the fixed block (20) is each attached to described
In fixing axle (18), the other end of the fixing axle (18) passes through the bearing (27) being fixedly connected and fixed with the bearing (27)
Circular groove (17) be fixedly connected with supporting plate (4), the both sides of the circular groove (17), which are fixed, connects symmetrical chute (5), each cunning
One end of groove (5) inwall is fixedly connected with one end of spring (2), and the other end of the spring (2) is fixedly connected with the one of ball (3)
Side, the opposite side of each ball (3) are fixedly connected with one end of rope (6), and the other end of the rope (6) is fixed on described
In fixing axle (18), cylinder (8) is provided with the supporting plate (4), the piston rod of the cylinder (8) is fixedly connected with motor
(10), the output shaft of the motor (10) is fixedly connected at the center of U type connecting rod (11).
As the further restriction to the technical program, the opposite side of each fixed block (20) passes through connecting plate
(20a) is fixedly connected with the U-shaped support (22).
As the further restriction to the technical program, tight fixed bolt is threadedly coupled on the plectane of each handle (24)
(23)。
As the further restriction to the technical program, the lower end of each oscillating deck (21) is fixedly connected with swing ball
(12)。
As the further restriction to the technical program, the both sides of the motor (10) are respectively fixedly connected with L-type connecting rod
(9) one end, the other end of each L-type connecting rod (9) are respectively embedded on the L-type plate (1) for being fixed on the supporting plate (4)
Targeting port (8a) in.
As the further restriction to the technical program, V-type connection is fixed in each chute (5) both sides upper surface respectively
The both ends of plate (7), the both ends of the U type connecting rod (11) are individually positioned in the not ipsilateral of two chutes (5).
Compared with prior art, the advantages and positive effects of the present invention are：The present apparatus is positioned on the water surface, loosens tightening
Bolt, while two handles are rotated, drive two shape of chinese word Ji connecting rods to be drawn close to centre, the upper end of oscillating deck is driven by L-type connecting rod
Drawn close to central rotational, then the lower end of oscillating deck drives swing ball to be swung up, and two swing the angles increase of balls, are adjusted to suitable
Behind position, tighten tight fixed bolt and withstand the side plate of U-shaped support and fix two handles, and then fix the corner dimension of two swing balls,
After adjustment, cylinder and motor running, motor rotate, and drive U type connecting rod to move in a circle, when the piston rod of cylinder shrinks,
Drive motor moves down, and one end of L-type connecting rod of motor both sides connection moves down along targeting port, the bar at U type connecting rod both ends can under
Shifting is close to V-type connecting plate so as to drive circle and symmetrical chute to rotate when U type connecting rod rotates, and this is rotated forward for device, due to
Fixing axle is fixed, so two ropes of fixing axle both sides connection can be wrapped in fixing axle, two ropes pass through respectively
Ball elongates spring, spring is in extended state, and when the piston rod elongation of cylinder, pushing motor moves up, motor two
One end of L-type connecting rod of side connection moves up along targeting port, the bar at U type connecting rod both ends will be shifted up, now U type connecting rod both ends
Bar does not contact with V-type connecting plate, and two spring contractions reset, and drives rope to rotate backward disengaging fixing axle by ball, so as to band
Dynamic circular groove and symmetrical chute are rotated to opposite direction, and this is rotated backward for device, record rotate forward with the counter-rotational time,
The step of two handle of repeated rotation, continues the angle that increase two swings ball, and after repeating the above steps, record increases two and swings ball chuck
The time for rotating forward and inverting behind angle, two to swing ball chuck angles bigger, rotate forward it is big with counter-rotational velocity variable,
Two to swing ball chuck angles smaller, rotate forward it is small with counter-rotational velocity variable, according to the law of conservation of momentum, two balls point
Counter motion not being produced with the contraction of spring and finally tending to be static, the system conservation of momentum that the device is demonstrated, system is being transported
Dynamic front and rear centroid position keeps constant, demonstrates center of mass motion theorem, the demonstration operation of center of mass motion theorem is completed with this.This
Invent simple to operate, structure novelty, the demonstration center of mass motion theorem that can accurately understand.
Brief description of the drawings
Fig. 1 is the stereogram one of the present invention.
Fig. 2 is the stereogram two of the present invention.
Fig. 3 is the front view of the present invention.
Fig. 4 is the part-structure schematic diagram of the present invention.
Fig. 5 is the stereogram three of the present invention.
Fig. 6 is the side view of the present invention.
Fig. 7 is the partial enlarged drawing of A in Fig. 4 of the present invention.
In figure：1st, L-type plate, 2, spring, 3, ball, 4, supporting plate, 5, chute, 6, rope, 7, V-type connecting plate, 8, cylinder,
8a, targeting port, 9, L-type connecting rod, 10, motor, 11, U type connecting rod, 12, swing ball, 13, bottom plate, 14, support bar, 15, disk,
16th, conical plate, 17, circular groove, 18, fixing axle, 19, circular shaft, 20, fixed block, 20a, connecting plate, 21, oscillating deck, 21a, rotation
Axle, 22, U-shaped support, 23, tight fixed bolt, 24, handle, 25, L-type connecting rod, 26, shape of chinese word Ji connecting rod, 27, bearing.
Embodiment
Below in conjunction with the accompanying drawings, the specific embodiment of the present invention is described in detail, it is to be understood that of the invention
Protection domain do not limited by embodiment.
As shown in Fig. 1-Fig. 7, the present invention includes conical plate 16, and disk 15, the disk are provided with the conical plate 16
Bottom plate 13 is provided with 15, is fixed with one end of fixing axle 18 and one end of one group of symmetric support bar 14 on the bottom plate 13, one
The other end of the group support bar 14 is fixed with U-shaped support 22, and the central shaft of two handle 24 passes through the be hinged U-shaped support 22
Side plate is respectively fixedly connected with one end of shape of chinese word Ji connecting rod 26, and the other end of each shape of chinese word Ji connecting rod 26 is hinged on fixed plate 20
Circular shaft 19, the middle part of each shape of chinese word Ji connecting rod 26 is hinged one end of L-type connecting rod 25, each L-type connecting rod 25 it is another
One end is hinged the upper end of oscillating deck 21, and the both sides of each oscillating deck 21 are fixedly connected with rotary shaft 21a one end, each described
The rotary shaft 21a other end is hinged on the projection at the both ends of U-shaped support 22, and the side of each fixed block 20 is fixed
In the fixing axle 18, the other end of the fixing axle 18 passes through the bearing 27 being fixedly connected and fixed with the bearing 27
Circular groove 17 is fixedly connected with supporting plate 4, and the both sides of the circular groove 17, which are fixed, connects symmetrical chute 5, and the one of each inwall of chute 5
End is fixedly connected with one end of spring 2, and the other end of the spring 2 is fixedly connected with the side of ball 3, and each the ball 3 is another
Side is fixedly connected with one end of rope 6, and the other end of the rope 6 is fixed in the fixing axle 18, set in the supporting plate 4
Cylinder 8 is equipped with, the piston rod of the cylinder 8 is fixedly connected with motor 10, and the output shaft of the motor 10 is fixedly connected with U type connecting rod 11
Center at.
The opposite side of each fixed block 20 is fixedly connected with the U-shaped support 22 by connecting plate 20a.
Tight fixed bolt 23 is threadedly coupled on the plectane of each handle 24.
The lower end of each oscillating deck 21, which is fixedly connected with, swings ball 12.
The both sides of the motor 10 are respectively fixedly connected with one end of L-type connecting rod 9, and each the L-type connecting rod 9 is another
End is respectively embedded into the targeting port 8a being fixed on the L-type plate 1 of the supporting plate 4.
The both ends of V-type connecting plate 7, the both ends point of the U type connecting rod 11 are fixed in each both sides upper surface of chute 5 respectively
The not ipsilateral of two chutes 5 is not placed on.
The present invention workflow be：The present apparatus is positioned on the water surface, loosens tight fixed bolt 23, while rotate two handles
24, drive two shape of chinese word Ji connecting rods 26 to be drawn close to centre, the upper end for driving oscillating deck 21 by L-type connecting rod 25 is leaned on to central rotational
Hold together, then the lower end of oscillating deck 21 drives swing ball 12 to be swung up, and two swing the angles increase of balls 12, are adjusted to correct position
Afterwards, tighten tight fixed bolt 23 and withstand the side plate of U-shaped support 22 and fix two handles 24, and then the angle for fixing two swing balls 12 is big
Small, after adjustment, cylinder 8 and motor 10 operate, and motor 10 rotates, and drive U type connecting rod 11 to move in a circle, the work of cylinder 8
When stopper rod shrinks, drive motor 10 moves down, and one end of the L-type connecting rod 9 of the both sides of motor 10 connection moves down along targeting port 8a, U
The bar at the both ends of type connecting rod 11, which can move down, is close to V-type connecting plate 7 so as to drive circular groove 17 and symmetrical chute 5 when U type connecting rod 11 rotates
Rotate, this is rotated forward for device, because fixing axle 18 is fixed, so two ropes 6 of the both sides of fixing axle 18 connection
It can be wrapped in fixing axle 18, two ropes 6 elongate spring 2 by ball 3 respectively, spring 2 is in extended state, work as cylinder
During 8 piston rod elongation, pushing motor 10 moves up, and one end of the L-type connecting rod 9 of the both sides of motor 10 connection is along targeting port
8a is moved up, and the bar at the both ends of U type connecting rod 11 will be shifted up, and now the bar at the both ends of U type connecting rod 11 does not contact with V-type connecting plate 7, two springs
2 retracted for clearance, by ball 3 drive rope 6 rotate backward depart from fixing axle 18, so as to drive circular groove 17 and symmetrical chute 5 to
Opposite direction is rotated, and this is rotated backward for device, record rotate forward with the counter-rotational time, the handle 24 of repeated rotation two
Step continues the angle that increase two swings ball 12, and after repeating the above steps, the forward direction after the swing angles of ball 12 of record increasing two turns
Dynamic and reversion time, the two swing angles of ball 12 are bigger, rotate forward, two swing balls 12 big with counter-rotational velocity variable
Angle is smaller, rotates forward small with counter-rotational velocity variable, and according to the law of conservation of momentum, two balls 3 are respectively with bullet
The contraction of spring 2 produces counter motion and finally tends to be static, and the system conservation of momentum that the device is demonstrated, system is before and after motion
Centroid position keeps constant, demonstrates center of mass motion theorem, the demonstration operation of center of mass motion theorem is completed with this.
Disclosed above is only the specific embodiment of the present invention, and still, the present invention is not limited to this, any ability
What the technical staff in domain can think change should all fall into protection scope of the present invention.
Claims (7)
1. a kind of center of mass motion theorem demenstration method, it is characterized in that：Comprise the following steps：
(1) present apparatus is positioned on the water surface, loosens tight fixed bolt (23), while rotate two handles (24), drive two several words
Shape connecting rod (26) is drawn close to centre, and the upper end for driving oscillating deck (21) by L-type connecting rod (25) is drawn close to central rotational, then is swung
The lower end of plate (21) drives swing ball (12) to be swung up, and two swing the angles increase of balls (12), after being adjusted to correct position, twist
The side plate that tight tight fixed bolt (23) withstands U-shaped support (22) is fixed by two handles (24)；
(2) and then the corner dimension of two swing balls (12) is fixed, after adjustment, cylinder (8) and motor (10) running, motor
(10) rotate, drive U type connecting rod (11) to move in a circle, when the piston rod of cylinder (8) shrinks, drive motor (10) moves down, electricity
One end of L-type connecting rod (9) of machine (10) both sides connection moves down along targeting port (8a), the bar at U type connecting rod (11) both ends can under
Shifting is close to V-type connecting plate (7) so as to drive circular groove (17) and symmetrical chute (5) to rotate when U type connecting rod (11) rotates, and this is device
Rotate forward, due to fixing axle (18) be it is fixed, so fixing axle (18) both sides connection two ropes (6) can be wrapped in
In fixing axle (18), two ropes (6) elongate spring (2) by ball (3) respectively, spring (2) is in extended state；
(3) when the piston rod elongation of cylinder (8), pushing motor one (10) moves up, and the L-type of motor (10) both sides connection connects
One end of extension bar (9) moves up along targeting port (8a), and the bar at U type connecting rod (11) both ends will be shifted up, now U type connecting rod (11) both ends
Bar do not contacted with V-type connecting plate (7), two springs (2) retracted for clearance, by ball (3) drive rope (6) rotate backward disengaging
Fixing axle (18), so as to drive circular groove (17) and symmetrical chute (5) to be rotated to opposite direction, this is rotated backward for device, is recorded
Rotate forward with the counter-rotational time, continue the angles that increase two swings balls (12) the step of the handle of repeated rotation two (24),
After repeating the above steps, record increases two and swings the time for rotating forward and inverting after ball (12) angle.
2. center of mass motion theorem demenstration method according to claim 1, it is characterized in that：Described device includes conical plate
(16) disk (15), is provided with the conical plate (16), bottom plate (13), the bottom plate (13) are provided with the disk (15)
On be fixed with one end of fixing axle (18) and one end of one group of symmetric support bar (14), the other end of support bar (14) described in one group
U-shaped support (22) is fixed with, two handles (24) central shaft is respectively fixedly connected with through the side plate of the be hinged U-shaped support (22)
One end of shape of chinese word Ji connecting rod (26), the other end of each shape of chinese word Ji connecting rod (26) are hinged on the circular shaft of fixed plate (20)
(19), the middle part of each shape of chinese word Ji connecting rod (26) is hinged one end of L-type connecting rod (25), each L-type connecting rod (25)
The other end is hinged the upper end of oscillating deck (21), and the both sides of each oscillating deck (21) are fixedly connected with rotary shaft (21a) one end,
The other end of each rotary shaft (21a) is hinged on the projection at U-shaped support (22) both ends, each fixed block
(20) side is each attached in the fixing axle (18), and the other end of the fixing axle (18) passes through the bearing being fixedly connected
(27) and the circular groove (17) fixed with the bearing (27) is fixedly connected with supporting plate (4), and the both sides of the circular groove (17), which are fixed, to be connected
Lead to symmetrical chute (5), one end of each chute (5) inwall is fixedly connected with one end of spring (2), the spring (2) it is another
One end is fixedly connected with the side of ball (3), and the opposite side of each ball (3) is fixedly connected with one end of rope (6), the rope
The other end of sub (6) is fixed in the fixing axle (18), and cylinder (8), the cylinder (8) are provided with the supporting plate (4)
Piston rod be fixedly connected with motor (10), the output shaft of the motor (10) is fixedly connected at the center of U type connecting rod (11).
3. center of mass motion theorem demonstrator according to claim 1, it is characterized in that：Each the fixed block (20) is another
Side is fixedly connected with the U-shaped support (22) by connecting plate (20a).
4. center of mass motion theorem demonstrator according to claim 1, it is characterized in that：On the plectane of each handle (24)
It is threadedly coupled tight fixed bolt (23).
5. center of mass motion theorem demonstrator according to claim 1, it is characterized in that：The lower end of each oscillating deck (21)
It is fixedly connected with and swings ball (12).
6. center of mass motion theorem demonstrator according to claim 1, it is characterized in that：The both sides of the motor (10) are solid respectively
Surely one end of L-type connecting rod (9) is connected, the other end of each L-type connecting rod (9), which is respectively embedded into, is fixed on the supporting plate
(4) in the targeting port (8a) on L-type plate (1).
7. center of mass motion theorem demonstrator according to claim 1, it is characterized in that：Each chute (5) both sides upper table
The both ends of V-type connecting plate (7) are fixed in face respectively, and the both ends of the U type connecting rod (11) are individually positioned in two chutes (5) no
Ipsilateral.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711054001.4A CN107731062A (en) | 2017-10-31 | 2017-10-31 | A kind of center of mass motion theorem demenstration method |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711054001.4A CN107731062A (en) | 2017-10-31 | 2017-10-31 | A kind of center of mass motion theorem demenstration method |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110264837A (en) * | 2019-07-15 | 2019-09-20 | 湖州师范学院 | A kind of teaching aid for demonstrating plane parallel motion |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110264837A (en) * | 2019-07-15 | 2019-09-20 | 湖州师范学院 | A kind of teaching aid for demonstrating plane parallel motion |
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Application publication date: 20180223 |