Question

Thin threads are tightly wound on the ends of a uniform solid cylinder of mass m. The free ends of the threads are attached to the ceiling of an elevator car. The car starts going up with an accelerated a0 . Force F exerted by the cylinder on the ceiling will be

Answer 1

(1)

Here (mg + ma0 ) – 2T = ma ......... (1)

2TR = Iα

where I = 1/2 mR2 and α = a/R

Substitution of value of T from equation (2) in equation (1), we get