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Question: A block slides on a rough horizontal ground from point A to point B. Point C is midway between A and...

A block slides on a rough horizontal ground from point A to point B. Point C is midway between A and B. The coefficient of friction between the block and the ground is constant. Its angular momentum L about C is plotted against time t. Which of the following curves is correct –

A

B

C

D

Answer

Explanation

Solution

At any position of the block, its angular momentum L about C is equal to its linear momentum (P) × the height of its COM (h) above C. As its velocity v decreases linearly with time, L will decrease linearly with time.