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A light rope fixed at one end of a wooden clamp on the ground passes over a tree branch and hangs on the other side (as per the figure). It makes an angle of 30∘ with the ground. A man weighing (60 kg) wants to climb up the rope. The wooden clamp can come out of the ground if an upward force greater than 360 N is applied to it. Find the maximum acceleration in the upward direction with which the man can climb safely. Neglect friction at the tree branch. Take g = 10 m/s2. |
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Answer» A light rope fixed at one end of a wooden clamp on the ground passes over a tree branch and hangs on the other side (as per the figure). It makes an angle of 30∘ with the ground. A man weighing (60 kg) wants to climb up the rope. The wooden clamp can come out of the ground if an upward force greater than 360 N is applied to it. Find the maximum acceleration in the upward direction with which the man can climb safely. Neglect friction at the tree branch. Take g = 10 m/s2.
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