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A solid sphere of mass  and redius  is initially at rest. Solid sphere is gradually lowered onto a truct moving with constant velocity

What is the final speed of the sphere’s centre of mass in ground frame when eventually pure rolling sets in

a)

b)

c)

d)



Question ID - 101383 | SaraNextGen Top Answer

A solid sphere of mass  and redius  is initially at rest. Solid sphere is gradually lowered onto a truct moving with constant velocity

What is the final speed of the sphere’s centre of mass in ground frame when eventually pure rolling sets in

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

In reference frame of truck, the angular momentum is conserved about i.e.,

(i)

(ii)

On solving Eqs. (i) and (ii), we get

Note that  is the speed is truck frame; in  ground frame, the velocity is =  towards the right

The answer is independent of  or

127 votes


127