Physics System of Particles Rotational Motion Conservation of Angular Momentum (Combined Translation & Rotational Motion) MCQ (Single Correct)

A circular wooden loop of mass m and radius R rests flat on a horizontal frictionless surface. A bullet, also of mass m, and moving with a velocity V, strikes the loop and gets embedded in it. The thickness of the loop is much smaller than R. The angular velocity with which the system rotates just after the bullet strikes the loop is

A
B
C
D

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The correct answer is:
B

Conservation of angular momentum about C.O.M. of m of loop of mass m gives

=

⇒ V = 3 ω R

⇒ ω =

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