A sphere kept on a rough inclined plane is in equilibrium by a string wrapped over it. If the angle of inclination is θ θ , the tension in the string will be equal to
A
mg sin θ θ
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Since f & N passes through the point P, their torque about P will be zero.
⇒ ⇒ For the equilibrium of the sphere the torques of tension T & weight mg about P will be zero. ⇒ ⇒ mg sin θ θ × × r − − T(2r) = 0
⇒ ⇒ 2 Tr = mgr sin θ θ
⇒ ⇒ T = 
,
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