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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Rotational Mechanics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rotational Mechanics

A kid of mass M stands at the edge of a platform of radius R which...

A kid of mass

M

stands at the edge of a platform of radius

R

which can rotate freely about its axis. The moment of inertia of the platform is

I

. The system is rotating anticlockwise with angular speed

\omega

while the kid stands on the rim. The kid then walks along the rim in the anticlockwise direction with speed

v

relative to the platform. Find the new angular speed of the platform.

Options

A $\omega - \dfrac{MvR}{I + MR^2}$
B $\omega + \dfrac{MvR}{I + MR^2}$
C $\omega - \dfrac{MvR}{I}$
D $\omega - \dfrac{Mv}{I + MR^2}$

Correct answer

A. $\omega - \dfrac{MvR}{I + MR^2}$

Step-by-step solution

\omega - \dfrac{MvR}{I + MR^2}

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