Question

A particle of mass m is moving along the side of a square of side ‘a’, with a uniform speed v in the x-y plane as shown in the figure:

Which of the following statement is false for the angular momentum $\overrightarrow{L}$ about the origin?

• A. when the particle is moving from C to D.
• B. when the particle is moving from B to C.
• C. when the particle is moving from D to A.
• D. when the particle is moving from A to B.

Answer 1

Answer: (A), (C)

The correct options are
A

when the particle is moving from C to D.

C

when the particle is moving from D to A.

In option A, correct $\overrightarrow{L}$ should be $mv[\frac{R}{\sqrt{2}}+a]\hat{k}$ when the particle is moving from C to D.

In option 3, correct $\overrightarrow{L}$ Should be $\frac{-mv}{\sqrt{2}}R\hat{k}$.