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Question

A small ball of mass M is held in equilibrium with two identical springs as shown in the figure. Force constant of each spring is k and relaxed length of each spring is l/2. What is distance between the ball and roof?
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A
l2+Mgk
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B
l2Mgk
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C
l2+Mg2k
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D
l2Mg2k
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Solution

The correct option is C l2+Mg2k
The first spring is stretched by x and the second spring is compressed be X
Net force acting on the ball is 0
Mg=2kx
x=Mg2k
Distance between ball and roof is l2+x=l2+Mg2k

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