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Question: Answered & Verified by Expert
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
PhysicsRotational MotionJEE Main
Options:
  • A 2Msinα
  • B Msinα
  • C 2Mtanα
  • D Mcosα
Solution:
2087 Upvotes Verified Answer
The correct answer is: 2Msinα

Equilibrium of m give

T=mg         (T = Tension in string)

Net torque about point of contact of the spool should be
zero. Hence,

(2R)(Mgsinα) = TR

or  2Mgsinα = mg

or  m = 2Msinα

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