Physics HW: Man in Bosun's Chair with Massless Rope & Pully

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To determine the force required for the man in the bosun's chair to rise at a constant speed, he must exert a force equal to his weight, which is 95 kg multiplied by the acceleration due to gravity (9.81 m/s²), resulting in approximately 931 N. For an upward acceleration of 1.3 m/s², the man must pull with a force of 95 kg times the sum of gravity and the acceleration, totaling about 1,020 N. If the rope is held by a person on the ground, the forces required for constant speed and upward acceleration remain the same, but the dynamics change, affecting the tension in the rope. Additionally, the force exerted on the ceiling by the pulley system can be calculated based on the tension in the rope for each scenario. Understanding these forces is crucial for solving problems involving pulleys and tension in physics.
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A man is sitting in a bosun's chair ( :confused: ) that dangles from a massless rope, which runs over a massless, frictionless pully and back down to the man's hand. The combined mass of the man and chair is 95 kg. (a) with what force must the man pull on the rop for him to rise at a constant speed? (b) What force is needed for an upwards acceleration of 1.3 m/s2? (c) suppose, instead, that the rope is held by a person on the ground. Repeat (a) and (b) for this new situation. (d) In each of the four cases, what is the force exerted on the ceiling by the pulley system?

The diagram of this chair shows a man in a chair that is tied to a rope the rope goes straight up to a pully on the ceiling and drops back down to his hand.
 
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