Kinematics Question 449
Question: A metal sphere it’s hung by a string fixed to a wall. The sphere it’s 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 it’s wrong?
Options:
A) $ P=W\tan \theta $
B) $ \vec{T}+\vec{P}+\vec{W}=0 $
C) $ T^{2}=P^{2}+W^{2} $
D) $ T=P+W $
Correct Answer: C [c]
As the metal sphere it’s in equilibrium under the effect of the three forces therefore $ \overrightarrow{T}+\overrightarrow{P}+\overrightarrow{W}=0 $ $ T\cos \theta =W $ …(i) $ T\sin \theta =P $ …(ii) From equation (i) and (ii) we get $ P=W\tan \theta $ and $ T^{2}=P^{2}+W^{2} $
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