A cage of mass 2500 kg is raised and lowered by a winding drum of 1.5 m diameter. A brake dru is attached to the winding drum and the combined mass of the drums is 1000 kg and their radius. gyration is 1.2 m. The maximum speed of descent is 6 m/s and when descending at this speed, brake must be capable of stopping the load in 6 m. Find 1. the tension of the rope during stoppi at the above rate, 2. the friction torque necessary at the brake, neglecting the inertia of the rope, a 3. In a descent of 30 m, the load starts from rest and falls freely until its speed is 6 m/s. The bra is then applied and the speed is kept constant at 6 m/s until the load is 10 m from the bottom. T brake is then tightened so as to give uniform retardation, and the load is brought to rest at t bottom. Find the total time of descent. [Ans. 32 kN; 29.78 kN-m : 7.27

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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7.
A cage of mass 2500 kg is raised and lowered by a winding drum of 1.5 m diameter. A brake drum
is attached to the winding drum and the combined mass of the drums is 1000 kg and their radius of
gyration is 1.2 m. The maximum speed of descent is 6 m/s and when descending at this speed, the
brake must be capable of stopping the load in 6 m. Find 1. the tension of the rope during stopping
at the above rate, 2. the friction torque necessary at the brake, neglecting the inertia of the rope, and
3. In a descent of 30 m, the load starts from rest and falls freely until its speed is 6 m/s. The brake
is then applied and the speed is kept constant at 6 m/s until the load is 10 m from the bottom. The
brake is then tightened so as to give uniform retardation, and the load is brought to rest at the
bottom. Find the total time of descent.
[Ans. 32 kN ; 29.78 kN-m ; 7.27 s]
Transcribed Image Text:7. A cage of mass 2500 kg is raised and lowered by a winding drum of 1.5 m diameter. A brake drum is attached to the winding drum and the combined mass of the drums is 1000 kg and their radius of gyration is 1.2 m. The maximum speed of descent is 6 m/s and when descending at this speed, the brake must be capable of stopping the load in 6 m. Find 1. the tension of the rope during stopping at the above rate, 2. the friction torque necessary at the brake, neglecting the inertia of the rope, and 3. In a descent of 30 m, the load starts from rest and falls freely until its speed is 6 m/s. The brake is then applied and the speed is kept constant at 6 m/s until the load is 10 m from the bottom. The brake is then tightened so as to give uniform retardation, and the load is brought to rest at the bottom. Find the total time of descent. [Ans. 32 kN ; 29.78 kN-m ; 7.27 s]
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