Question

Problem 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 k_(0) = 0.25 m. The motor supplies a torque of M = (50θ + 1500) Nm to the pulley. If the crate starts from rest and the coefficient of kinetic friction between the crate and ground is μ_(k) = 0.2 (assume the crate immediately starts moving, so no static friction analysis needed). Determine the speed of the crate after it travels 4 m. Forces, displacement, angular velocity, let's use Work & Energy A. U_(motor) + U_(weight) + U_(friction) = (1/2)mv_(2)^(2) + (1/2)Iω_(2)^(2) I = 12.5 kgm^(2) PART A is given at the bottom!!!!!! just need help getting there!!

          Problem 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 k_(0) = 0.25 m. The motor supplies a torque of M = (50θ + 1500) Nm to the pulley. If the crate starts from rest and the coefficient of kinetic friction between the crate and ground is μ_(k) = 0.2 (assume the crate immediately starts moving, so no static friction analysis needed). Determine the speed of the crate after it travels 4 m.
Forces, displacement, angular velocity, let's use Work & Energy
A.
U_(motor) + U_(weight) + U_(friction) = (1/2)mv_(2)^(2) + (1/2)Iω_(2)^(2)
I = 12.5 kgm^(2)
PART A is given at the bottom!!!!!! just need help getting there!!

problem 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 05 m and a radius of gyration of k0 0 32223

Added by Sarah E.

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