Free Rolling and Circular Motion

Registed user can get files related to this applet for offline access.
If java program did not show up, please download and install latest Java RUN TIME
or

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.

Registed user can get files related to this applet for offline access.
If java program did not show up, please download and install latest Java RUN TIME
or

	Author	Topic: Free Rolling and Circular Motion (Read 38324 times)
0 Members and 1 Guest are viewing this topic.