Rotational MotionHard

Question

A small block of mass ′m′ is rigidly attached at ′P′ to a ring of mass ′3m′and radius ′r′. The system is released from rest at θ = 90o and rolls without sliding. The angular acceleration of hoop just after release is -
                                                           

Options

A.
B.
C.
D.

Solution

f = 4 ma.......(i) (mg - f) r = (3mr2 + mr2) α
mg - f = 4 ma ....(ii)
from (i) and (ii) ⇒ 8 ma = mg ⇒ a = ⇒ α =
                                          

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