To use the principle of work and energy to determine characteristics of a mass being pulled up an incline and determine the power that must be supplied to the system when the efficiency of the input system is considered. As shown, a 53 kg crate is pulled up a θ = 50 ∘ incline by a pulley and motor system. Initially at rest, the crate is pulled s = 2.1 m up along the incline. Undergoing constant acceleration, the crate reaches a speed of 2.1 m/s at the instant it has traveled this distance. Considering the coefficient of kinetic friction, μk = 0.13, determine the power that the motor must supply to the crate the instant the crate travels a distance of 2.1 m. If the motor has an efficiency of ε = 0.87 , what power must be supplied to the motor to raise the crate?
To use the principle of work and energy to determine characteristics of a mass being pulled up an incline and determine the power that must be supplied to the system when the efficiency of the input system is considered.
As shown, a 53 kg
crate is pulled up a θ = 50 ∘ incline by a pulley and motor system. Initially at rest, the crate is pulled s = 2.1 m up along the incline. Undergoing constant acceleration, the crate reaches a speed of 2.1 m/s
at the instant it has traveled this distance.
Considering the coefficient of kinetic friction, μk = 0.13, determine the power that the motor must supply to the crate the instant the crate travels a distance of 2.1 m.
If the motor has an efficiency of ε = 0.87 , what power must be supplied to the motor to raise the crate?
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