Vectors Question 86
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 \theta $
B) $ \overrightarrow{T}+\overrightarrow{P}+\overrightarrow{W}=0 $
C) $ T^{2}=P^{2}+W^{2} $
D) $ T=P+W $
Correct Answer: D As the metal sphere is in equilibrium under the effect of three forces Therefore $ \overrightarrow{T}+\overrightarrow{P}+\overrightarrow{W}=0 $ From the figure $ 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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Answer:
Solution:
BETA
