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A light stright fixed at one end to a wo...

A light stright fixed at one end to a wooden clamp on a ground passes over a fixed pulley and hangs at the other side. It makes an angle `30^(@)` with the ground. A boy weighing 60 kg climbs up the rope. The wooden clamp can tolerate upto vertical force 360N. Find the maximum acceleration in the upward direction with which the boy can climb safely. The friction of pulley and wooden clamp may be ignored (g `= 10 m//s^(2)`)

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Verified by Experts

The correct Answer is:
`2m//s^(2)`
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One end of a light string is fixed to a clamp on the ground and the other end passes over a fixed frictionless pulley as shown in the figure. It makes an angle of 30^(@) with the ground . The clamp can tolerate a vertical force of 40 N . If a monkey of mass 5 kg were to climb up the rope then the maximum acceleration in the upward direction with which it can climb safely is (g=10 ms^(-2))

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