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SIR PLEASE ANSWER IT. I AM CONFUSED THAT HOW BLOACK WILL GET VELOCITY AND NEED A EXPLANATION OF ANSWER ALSO

SIR PLEASE ANSWER IT. I AM CONFUSED THAT HOW BLOACK WILL GET VELOCITY AND NEED A EXPLANATION OF ANSWER ALSO

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1 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Dear student,

Since no external force acts on the system in horizontal direction, the linear momentum of the system in the horizontal direction is zero at all times. Hence after reaching the concerned position,

momentum of hemisphere towards left= momentum of block towards right
\implies Mv_0=m(vcos\theta-v_0)(since the velocity of the block will be vector sum of hemisphere’s velocity and its velocity wrt hemisphere)

SinceM=3m,

4v_0=v cos\theta
\implies v_0=\dfrac{v}{4}cos\theta

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