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 Author Topic: Ball Rolling without slipping in a hill  (Read 3645 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
ahmedelshfie
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 « Embed this message on: May 08, 2010, 09:33:43 pm » posted from:Uberaba,Minas Gerais,Brazil

This applet created by prof Hwang
Modified by Ahmed
Original project Ball Rolling without slipping in a hill

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

Assume the friction force is f
1. m*g*sinθ-f=m*a
2. R*f=I*α
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*sinθ for cylinder or f=(2/7)m*g*sinθ for sphere.
The following add a spring make it more complicated!

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