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 30º with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40N only. Find the maximum acceleration in upward direction with which the monkey can climb safely is (Neglect friction and take g = 10 m/s 2 )
Text Solution
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(6)
Sol.
Let T be the tension in the string. The upward force exerted on the clamp = T sin 30º = T/2
T/2 = 40N 
T = 80N, a = 
= 6m/s 2
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