The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies

Chapter 18, Problem 18-18

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The wheel has a mass of 100 kg and a radius of  gyration of \(k_{O} = 0.2 \ m\). A motor supplies a torque \(M = (40 \theta + 900) \ N \cdot m\), where \(\theta\) is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and \(\theta = 0^{\circ}\). Neglect the mass of the attached cable and the mass of the car’s wheels.

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