A block of mass m, lying on a rough horizontal plane, is acted upon by a horizontal force…

Physics · JEE Main · NTA ExamsLaws of Motion

A block of mass m, lying on a rough horizontal plane, is acted upon by a horizontal force P and another force Q, inclined at an angle \(\theta\) to the vertical upwards. The block will remain in equilibrium, if minimum coefficient of friction between block and the surface is:
  1. \(\frac{(P+Q \sin \theta)}{(m g-Q \cos \theta)}\)
  2. \(\frac{(P \cos \theta+Q)}{(m g-Q \sin \theta)}\)
  3. \(\frac{(P+Q \cos \theta)}{(m g+Q \sin \theta)}\)
  4. \(\frac{(P \sin \theta-Q)}{(m g-Q \cos \theta)}\)

Answer

(A) (P+Q ) (m g-Q )

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