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Q.

A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of 30° 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 monkey can climb safely is (neglect friction and take g = 10 m/s2) :
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a

4 m/s2

b

6 m/s2

c

2 m/s2

d

8 m/s2

answer is C.

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Detailed Solution

Tsin⁡30=40;T=m(g+a)80=5[10+a]⇒a=6m/s2

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