(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A homogenous thin cylinder is put on an inclined plane (angle of elevation is α). The coefficient of friction is [tex] \mu [/tex] . What is the speed of the centre of the mass of the cylinder and it's angular velocity at distance l from the start of motion.

2. Relevant equations

[tex] F=ma [/tex]

[tex] I=mR^2/2 [/tex]

[tex] v=at [/tex]

3. The attempt at a solution

I drew a free body diagram and found out that the acceleration is

[tex] a=g(sinα-\mu\cosα) [/tex] and found the velocity

[tex] v=\sqrt{2lg(sinα-\mu\cosα)} [/tex]

The problem is, i can't find the angular velocity in any way.

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# Homework Help: An object on an inclined plane

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