An experimental system consists of a solid cylinder of mass m and radius R that

Question

An experimental system consists of a solid cylinder of mass m and radius R that is able to rotate around its axis, and is attached to the ceiling as shown below. Two blocks of masses m1 and m2 are connected by a light rope that does not stretch, as shown. The rope will not slip on the cylinder.

Find the angular acceleration a of the cylinder and the ratio of tension forces T1/T2 of the vertical portions of the rope while the blocks are moving.

What is this ratio if the mass of the cylinder is m=0?

Explanation / Answer

T1= m1*g; T2=m2*g; so T1/T2= m1/m2. equating forces, T1-T2= mRw^2; (w= angular aceelaration); so w= [(T1-T2)/ mR]^0.5. if m=0 , then T1/T2 will become 1.

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