5. A motor is using a large pulley to pull a crate with a mass of m= 200 kg up a 30 degree incline. The pulley has a mass of m = 50 kg, a radius of r = 0.5 m and a radius of gyration of ko = 0.25 m. The motor supplies a torque of M = (500 +1500) N*m to the pulley. If the crate starts from rest and the coefficient of kinetic friction between the crate and ground is µ = 0.2 (assume the crate immediately starts moving, so no static friction analysis needed). Determine the speed of the crate after it travels 4m. M 30°

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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5. A motor is using a large pulley to pull a crate with a mass of m= 200 kg up a 30 degree incline. The pulley has a mass of m = 50 kg, a radius of r
= 0.5 m and a radius of gyration of ko = 0.25 m. The motor supplies a torque of M = (500 +1500) N*m to the pulley. If the crate starts from rest
and the coefficient of kinetic friction between the crate and ground is µ = 0.2 (assume the crate immediately starts moving, so no static
friction analysis needed). Determine the speed of the crate after it travels 4m.
M
777
30°
Transcribed Image Text:5. A motor is using a large pulley to pull a crate with a mass of m= 200 kg up a 30 degree incline. The pulley has a mass of m = 50 kg, a radius of r = 0.5 m and a radius of gyration of ko = 0.25 m. The motor supplies a torque of M = (500 +1500) N*m to the pulley. If the crate starts from rest and the coefficient of kinetic friction between the crate and ground is µ = 0.2 (assume the crate immediately starts moving, so no static friction analysis needed). Determine the speed of the crate after it travels 4m. M 777 30°
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