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JEE Main202226 Jul 2022Morning ShiftPhysicsLaws of MotionActual

A monkey of mass 50 kg climbs on a rope which can withstand the tension T of 350 N . If monkey initially climbs down with an acceleration of 4 m s - 2 and then climbs up with an acceleration of 5 m s - 2 . Choose the correct option g = 10 m s - 2

Options

  1. AT = 700   N while climbing upward
  2. BT = 350   N while going downward
  3. CRope will break while climbing upward
  4. DRope will break while going downward

Correct answer

C. Rope will break while climbing upward

Step-by-step solution

Let a 1 be the acceleration of monkey while moving down. F.B.D of monkey while moving downward Using Newton's second law of motion, m g - T = m a 1 ∴    500 - T = 50 × 4 ⇒ T = 300   N Let a 2 be the acceleration of monkey while moving up. F.B.D of monkey while moving up Using Newton's second law of motion T - m g = m a 2 ⇒    T - 500 = 50 × 5 ⇒ T = 750   N Breaking strength of rope = 750 - 300 = 350   N ∴   Rope will break while

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