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4-1.Newton's Laws of Motion
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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
A$P = W\,\tan \theta $
B$\overrightarrow T + \overrightarrow P + \overrightarrow W = 0$
C${T^2} = {P^2} + {W^2}$
D$T = P + W$
Solution
(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 ${T^2} = {P^2} + {W^2}$
Standard 11
Physics
