Free Rolling and Circular Motion

Fu-Kwun Hwang

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1 Free Rolling and Circular Motion

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on: January 29, 2004, 01:13:25 pm » posted from:,,Satellite Provider

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This applet shows the positon,velocity and accelerationvectors
of a point on the rim of a body rolling without slippingon a stationary surface.

1. The term freely rolling means that there is no slipping (v=rw)

at the point of contact with the ground

--no skidding (v>rw) and no spinning in place (w>v/r),

where v,r and w are the linear speed, radius and

the angular speed of the rolling body.

2. The center of the wheel has a linear speed (with respect to ground)

equal to that of any point on its rim (with respect to center).

3. For circular motion (in the reference frame

moving with the velocity of the center of the rolling body) :

The acceleration a of a point always points in a direction

opposite the position vector r,

and the velocity vector V is perpendicular to both of them.

4. Observe the velocity vectors of a point on the rim

of the rolling body.

The white vector represents the velocity of the center

with resepect to ground and

the red vector represents the velocity of the point

with respect to the center.

The sum of these two vectors is the cyan vector

representing velocity of the point relative to ground.

5. The green curve shows the trajectory of a point on the rim.


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Stam

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2 Re: Free Rolling and Circular Motion

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Reply #1 on: January 15, 2009, 04:37:50 am »

Thnx very helpful but are there more like these. Where can i find?


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Fu-Kwun Hwang

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3 Re: Free Rolling and Circular Motion

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Reply #2 on: January 15, 2009, 10:49:28 am » posted from:Taipei,T'ai-pei,Taiwan

There are several hundreds physics related simulation at this web site.
If there is some simulation you would like to have and you can not find it.
Write down in detail what you want, and I will try to help!


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thomasusa80

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4 Re: Free Rolling and Circular Motion

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Reply #3 on: September 22, 2014, 12:49:40 pm » posted from:Faisalabad,Punjab,Pakistan

Quote from: Fu-Kwun Hwang on January 29, 2004, 01:13:25 pm

This applet shows the positon,velocity and accelerationvectors
of a point on the rim of a body rolling without slippingon a stationary surface.
<center><applet code=freeRolling.class width=550 height=360 codebase="/java/FreeRolling/">
<param name="MSG1" value="Circular motion">
<param name="MSG2" value="Free Rolling">
<param name="Reset" value="Reset">
</applet></center><ol>1. The term freely rolling means that there is no slipping (v=rw) <ol>at the point of contact with the ground--no skidding (v>rw) and no spinning in place (w>v/r),where v,r and w are the linear speed, radius and<ol>the angular speed of the rolling body.</ol></ol>2. The center of the wheel has a linear speed (with respect to ground) <ol>equal to that of any point on its rim (with respect to center).</ol>3. For circular motion (in the reference frame<ol><ol>moving with the velocity of the center of the rolling body) :</ol>The acceleration a of a point always points in a direction<ol>opposite the position vector r,</ol>and the velocity vector V is perpendicular to both of them.</ol>4. Observe the velocity vectors of a point on the rim<ol><ol>of the rolling body.</ol>The white vector represents the velocity of the center<ol>with resepect to ground and </ol>the red vector represents the velocity of the point<ol>with respect to the center.</ol>The sum of these two vectors is the cyan vector<ol>representing velocity of the point relative to ground.</ol></ol>5. The green curve shows the trajectory of a point on the rim.</ol>

There are a few hundreds physical science related reenactment at this site.

In the event that there is some reenactment you might want to have and you can not discover it.

Record in point of interest what you need, and I will attempt to offer assistance!

_Edwordstephen_


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diinxcom

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5 Re: Free Rolling and Circular Motion

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Reply #4 on: December 14, 2014, 05:32:48 pm » posted from:,,Satellite Provider

-*-

please wait....
Maybe i will understand next time


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chengfu

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6 Re: Free Rolling and Circular Motion

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Reply #5 on: October 26, 2015, 04:25:09 pm » posted from:Dhaka,Dhaka,Bangladesh

Video not worked, shows error Angry


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Fu-Kwun Hwang

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7 Re: Free Rolling and Circular Motion

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Reply #6 on: November 02, 2015, 10:55:12 am »

Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
If java program did not show up, please download and install latest Java RUN TIME


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