This applet created by prof Hwang
Modified by Ahmed
Original project [url=]Ball Rolling without slipping in a hill[/url]

[b]A ball or cylinder rolling (without slipping) down in a down hill slope.
The condition for rolling without slipping is
v=R*? (angular velocity) or a=R*? (angular acceleration)
where R is the radius of the ball or cylinder.

Assume the friction force is f
1. m*g*sin?-f=m*a
2. R*f=I*?
3. I=(1/2)m*R2 for cylinder, (2/5)m*R2 for sphere
solve the above equation will give you
f=(1/3)m*g*sin? for cylinder or f=(2/7)m*g*sin? for sphere.
The following add a spring make it more complicated!


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