Laws of MotionHard
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
⇒ Tmax =
For Monkey Tmax - mg = mg ⇒ a =
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