Vectors Question 215
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) $ \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 is in equilibrium under the effect of the three forces therefore
$ \overrightarrow{T}+\overrightarrow{P}+\overrightarrow{W}=0 $
From the figure
Show Answer
Answer:
Solution:
$ 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} $
BETA
