A spool of mass M and radius 2R lies on an inclined plane as shown in figure. A light thread is wound around the connecting tube of the spool and its free end carries a weight of mass m. The value of m so that system is in equilibrium is
A
2Msin 
B
Msin 
C
2Mtan 
D
Mcos 
Text Solution
Verified by ExpertsThe correct answer is:
A
Equilibrium of m give
T = mg (T = Tension in string)
Net torque about point of contact of the spool should be zero. Hence,
(2R)(Mgsin 
) = TR
or 2Mgsin 
= mg
or m = 2Msin 
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