Finding Acceleration and Coefficient of Friction for Rolling Disc on Rough Plane

AI Thread Summary
The discussion focuses on calculating the acceleration of a disc rolling on a rough plane under the influence of a tension force 'T'. It establishes that the acceleration of the disc's center is 4T/3m. Additionally, when T equals mg, the required coefficient of friction to prevent slipping is examined, along with the direction of the friction force. The friction force acts in the opposite direction to T to prevent slipping. The conversation emphasizes the importance of free body diagrams and relevant equations in solving such problems.
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A disc of mass 'm' rests on a rough horizontal plane. A light string that is wound onto the disc applies a horizontal force 'T' to the disc, which causes it to roll without slipping.

a) Show that the acceleration from rest of the centre of the disc is = 4T/3m

b) When T = mg, calculate the coefficient of friction that is required between
disc and plane to ensure that there is no slip. Does the friction force on the disc act
in the direction of T or in the opposite direction and why?

Please help! How would you go about solving this + moment of inertia questions in general Thankss
 
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After drawing yourself a freebody diagram , think about what equations have you been told that relates the force to the motion of the object.
 
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