Question

A cylinder of legnth L and radius R has mass
Two cords are wrapped around the cylinder, on
near each end, and the cord ends are attache
to hooks on the ceiling. The cylinder is he
horizontally with two cords exactly vertical ar
then released, Fig. The tension inthe ords as the
unwind is :

(A) Mg/3
(B) 2 Mg/3
C) Mg/6
(D) Mg/4

Answer 1

answer.

c. is correct

hope it helps you

Answer 2

Answer:

option c

Explanation:

( c) The cylinder rotating under gravity has both translational and rotational motions. Let v be the linear velocity of its centre of mass and ω its angular velocity about the axis of rotation , then in descending a distance h it will lose PE=Mgh while gain in

Ke=(1/2 Iω^2 + 1/2 mv^2

now where mgh = 1/2Iω2+1/2Mv^2

here I= 1/2Mr^2 and v= Rω

so mgh=1/2mv^2+ 1/2(1/2mr^2)(v^2/R^2)

v^2=4/3gh

diffrenciating

2v*dv/dt=4/3g(dh/dt) or a=2g/3