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AP EAMCET · PHYSICS · Laws of Motion

A small sphere is hung by a string fixed to a wall as shown in the figure. The sphere is pushed from the wall by a stick. The forces acting on the sphere are as shown. Then, identify the incorrect expression.

  1. A \(P=W \tan \theta\)
  2. B \(T=P+W=0\)
  3. C \(T^2=P^2+W^2\)
  4. D \(T=P+W\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(T=P+W\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \text { i.e., } \Sigma F_x=0 \\ & \Rightarrow \quad P-T \sin \theta=0\end{aligned}\) \(P=T \sin \theta\) ...(i) and \(\quad \Sigma F_y=0\) \(\Rightarrow \quad W-T \cos \theta=0\) \(W=T \cos \theta\) ...(ii) By dividing Eq. (i) by Eq. (ii), we get…