In the figure, the ball A is released from rest when the spring is at its natural (unstretched) length. For the block B of mass M to leave contact with the ground at some stage, the minimum mass of A

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In the figure, the ball A is released from rest when the spring is at its natural (unstretched) length. For the block B of mass M to leave contact with the ground at some stage, the minimum mass of A must be

TestHub · Accepted Answer

The spring will exert maximum force when the ball is at its lowest position. If the ball has descended through a distance $x$ to reach the position.

$mgx = (\frac{1}{2}) {Kx}^{2} or x = \frac{2 mg}{k}$ .....(i)

For block $B$ to leave contact spring force, $Kx = Mg$ .....(i)

Comparing equations (i) and (ii), $m = \frac{M}{2}$

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