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