Question

A mass 2m is supported by a massless string wound round a uniform solid cylinder of mass m and radius R. The system is released from rest. The angular velocity of the cylinder when the block falls by a distance h is root under ngh/5R^2. find the value of n.​

Answer 1

Answer:

corr answer is g/2

a=Rα (no slipping)

Also, τ=Iα and τ=TR

Using the relations, ⟹T=

R

2

Ia

For hollow cylinder, I=mR

2

⟹T=ma

Now for block, ma=mg−T

ma=mg−ma

⟹a=

2

g