A man is sitting in a bosun\'s chair that dangles from a massless rope, which ru

Question

A man is sitting in a bosun's chair that dangles from a massless rope, which runs over a massless, frictionless pulley and back down to the man's hand. The combined mass of man and chair is 88.5 kg. (a) With what force magnitude must the man pull on the rope if he is to rise with a constant velocity? (b) With what force magnitude must the man pull on the rope if he is to rise with upward acceleration of 1.20 m/s2? (c) If the rope on the right extends to the ground and is pulled by a co-worker, with what force magnitude must the coworker pull for the man to rise with a constant velocity? (d) with what force magnitude must the coworker pull for the man to rise with an upward acceleration of 1.20 m/s2?

Explanation / Answer

a) (88.5/2) x 9.8 = 433.65N. b) F = (ma) = 433.65 x 1.2, = 520.38N. c) (88.5 x 9.8) =867.3N. d) F = (ma) = 88.5 x (9.8 + 1.2) = 973.5N.

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