Laws of MotionMedium

Question

A light string at one end to a clamp on group over a fixed pulley and hangs at the other side. It makes on angle of 30o with the ground . A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only . The maximum acceleration in upward direction with which the with which the monkey can clump safely is (neglect friction and take g = 10 m/s2)

Options

A.2 m/s2
B.4 m/s2
C.6 m/s2
D.8 m/s2

Solution

Maximum tension in string Tmax sin 30o = 40
⇒ Tmax  = = 80 N
For Monkey Tmax  - mg = mg  ⇒ a = - 10 = 6 ms-2

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