Q30 / 122 · NTA Abhyas (JEE Main) 2020 · Physics · Rotational Motion

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
Figure

  • Correct answer
    A
    2Msinα
  • B
    Msinα
  • C
    2Mtanα
  • D
    Mcosα

Solution

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

Hence, the correct answer is option: 'A'.

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