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One side of a double inclined plane makes an angle of 30π with the horizontal, and the other makes an angle of 53π . A 100 ππ weight and a 50 ππ weight are attached to the ends of the string, which passes over a pulley at the top of the smooth double plane with the 50 ππ load on theΒ steeper side. Find the velocity of the 50 ππ load when it reaches the bottom of the plane. The length of the steeper plane is 16.4 ππ‘.Β
Two bodies, one of mass 4 slugs and the other of mass m is fastened to the two ends of a string. The string passes over a smooth pulley so that the two bodies hang vertically and the 4 slug mass is 4 ππ‘ from the floor. One second after the bodies are released, the 4 slug mass reaches the floor. Find the mass of the other body.Β
A 6.0 ππ body rests on a smooth horizontal tabletop. A horizontal cord attached to the body passes over a light frictionless pulley at the edge of the table to 12.0 ππ body hanging freely. Find the acceleration and the tension in the cord when the system is released.Β
An elevator weighs 2500 ππ; a cable, which can sustain a maximum tension of 6000 ππ, supports it. If the elevator is going down with a velocity of 9 ππ‘/π , find the minimum safe distance it can travel before coming to a stop.
The brakes of a 1000 ππ automobile can exert a retarding force of 3,000π. Find the distance the car will move before stropping if it is traveling at the rate of 24 π/π when the brakes are applied (96 π).Β
A string in a double inclined plane connects two bodies. If the 6.0 ππ mass starts from the top of the plane and the length is 8 m. Find the velocity of the 6 ππ body when it reaches the bottom of the plane.Β
A horizontal cord is attached to a 6.0-ππ body in a horizontal table. The cord passes over a pulley at the end of the table, and to this end is hung a body of mass 8 ππ. Find the distance the two bodies will travel after 2π if they start from rest. What is the tension in the cord?
