A metal sphere is hung by a string fixed to a wall. The sphere is pushed away fr

Question

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

Options:

A . P = W tan θ

B . T= P+W

C . T2 = P2 + W2

D . none of these

Answer: Option B
:
B

As the metal sphere is in equilibrium under the effect of three forces therefore

\to T

\to P

\to W

= 0
From the figure T cos

θ

=W ...(i)
T sin

θ

= P ..(ii)
From equation (i) and (ii) we get P= Wtan

θ

and

T^{2}

P^{2}

W^{2}

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