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Question

A metal sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The forces acting on the sphere are shown in the second diagram. Which of the following statements is wrong

A
P = W tan θ
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B
T= P+W
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C
T2 = P2 + W2
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D
none of these
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Solution

The correct option is B T= P+W



As the metal sphere is in equilibrium under the effect of three forces therefore T + P + W = 0
From the figure T cos θ =W ...(i)
T sin θ = P ..(ii)
From equation (i) and (ii) we get P= Wtan θ
and T2 = P2 + W2


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