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Questions  

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 tanθ
b
T→+P→ +W→ = 0
c
T2 = P2+W2
d
T = P + W

detailed solution

Correct option is D

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 uniform sphere of weight W and radius 3 m is being held by a string of length 2m.attached to a frictionless wall as shown in the t figure. The tension in the string will be:


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