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?

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P=Wtan⁡θ

T→+P→+W→=0

T2=P2+W2

T=P+W

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detailed solution

Correct option is D

As the metal sphere is in equilibrium under the effect of three forces thereforeT→+P→+W→=0From the figureTcos⁡θ=W .......(i)Tsin⁡θ=P ........(ii)From equations (i) and (ii), we get P=Wtan⁡θ and T2=P2+W2

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