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Question

A ball of mass m moving with velocity v, collide with the wall elastically as shown in the figure. After impact the change in angular momentum about P is :
125902_931a1ce749ce49b28d80346e06b74173.png

A
2 mvd
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B
2 mvdcosθ
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C
2 mvdsinθ
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D
Zero
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Solution

The correct option is B 2 mvdcosθ
There is a change of velocity only in the x direction, thus angular momentum also changes in x direction only. The initial angular momentum in x direction is mvdcosθ. And since the collision involved is perfectly elastic, thus the change in momentum is simply twice the initial momentum i.e. 2mvdcosθ

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