Question

A light string is wrapped around a uniform solid cylinder of mass m and radius R. If string is pulled vertically upward such that the centre of mass of the cylinder remains stationary. Initial angular acceleration of cylinder, is
3g/R
2g/R
g/2R
g/R

No Spam

Answer 1

Answer:

A light string is wrapped around a uniform solid cylinder of mass m and radius R . If string is pulled vertically upward such that the centre of mass ...

Answer 2

A string is wrapped around a cylinder of mass M and radius R. The string is pulled vertically upwards to prevent the centre of mass from falling as the cylinder unwinds the string. The tension in the string is

Answer

τ=Rα

TR=Iα

For solid cylinder I= 1/2 MR² and a=rα (no slipping)

⟹T= 1/2 Ma

Equation of motion, Ma=Mg−T

2T=Mg−T⟹T= 3Mg/3