More than a Pulley Problem...

A rope that's fixed to a peg in the ground goes around a pulley making an angle of 30 degrees to the ground.

Anand, who weighs mass 60 kg, is at the other end of the rope and wants to climb up this rope to the top, 81 meters, as fast as possible.

The peg in the ground will be uprooted if a Force exceeding 360 N is applied vertically upward to it.

Taking \(g = 10\text{ m/s}^2,\) what is the minimum time in seconds that Anand will take to safely clamber up the rope to the top?

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