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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?

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a

P = W tanθ

b

T→+P→ +W→ = 0

c

T2 = P2+W2

d

T = P + W

answer is D.

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Detailed Solution

As the metal sphere is in equilibrium under the effect of three forces therefore T→+P→ +W→ = 0From the figure T cosθ = W----(i) Tsinθ = P ----(ii)From equations (i) and (ii), we getP = W tanθand T2 = P2+W2

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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?