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 $\vec{L}$ about the origin ?
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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 $\vec{L}$ about the origin ?

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G1 Physics · Accepted Answer

Use angular momentum L⃗=r⃗×p⃗ (or L=Iω for a rigid body). During a short impact, angular momentum about a point with zero impulsive torque is conserved; use linear momentum/energy additionally where applicable. This gives L⃗ = mυ[ R √2 -a] k̂ when the particle is moving from C to D.

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 L ⃗ \vec{L} L about the origin ?