A metal sphere is hung by a string fixed to a wall. The sph…

Physics Vectors Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

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

\(\mathbf{P} = W \tan \theta\)

\vec{T} + \vec{P} + \vec{W} = 0

T^2 = P^2 + W^2

T = P + W

Text Solution

Verified by Experts

The correct answer is:

As the metal sphere is in equilibrium under the effect of three forces therefore \vec{T} + \vec{P} + \vec{W} = 0

From the figure \(T \cos \theta = W\) …(i)

\(T \sin \theta = P\) … (ii)

From equation (i) and (ii) we get \(\mathbf{P} = W \tan \theta\)

and T^2 = P^2 + W^2

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