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JEE Main202229 Jun 2022Evening ShiftPhysicsLaws of MotionActual

A block of mass M placed inside a box descends vertically with acceleration a . The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of ' a ' will be

Options

  1. Ag
  2. B3 g 4
  3. Cg 2
  4. Dg 4

Correct answer

B. 3 g 4

Step-by-step solution

The forces acting on the block are shown below. Here, N is normal force and box is falling with acceleration a . From figure, M g - N = M a According to question, N = M g 4 M g 4 = M g - a ⇒ a = 3 g 4

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