4. A light rope is wrapped several times around a large wheel with a radius of 0.500 m. The wheel rotates on frictionless bearings about a stationary horizontal axis, as shown in the figure. The free end of the rope is tied to a suitcase with a mass of 15.0 kg. The suitcase is released from rest at a height "h" above the ground. The suitcase is accelerating with 2 m/s² and the wheel has an angular speed of 8.0 rad/s when it reaches the ground. 4.00 m a) Calculate the height h above the ground where the suitcase is released. b) Find the time it takes for the suitcase to reach to the ground. c) Calculate the moment of inertia of the wheel.
4. A light rope is wrapped several times around a large wheel with a radius of 0.500 m. The wheel rotates on frictionless bearings about a stationary horizontal axis, as shown in the figure. The free end of the rope is tied to a suitcase with a mass of 15.0 kg. The suitcase is released from rest at a height "h" above the ground. The suitcase is accelerating with 2 m/s² and the wheel has an angular speed of 8.0 rad/s when it reaches the ground. 4.00 m a) Calculate the height h above the ground where the suitcase is released. b) Find the time it takes for the suitcase to reach to the ground. c) Calculate the moment of inertia of the wheel.
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter8: Rotational Equilibrium And Rotational Dynamics
Section: Chapter Questions
Problem 41P: An airliner lands with a speed of 50.0 m/s. Each wheel of the plane has a radius of 1.25 m and a...
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Step 1: Determine the given data and the free body diagram in the step :
VIEWStep 2: Determine the height using the equation of motion in the step :
VIEWStep 3: Determine the time taken using the equation of motion in the step :
VIEWStep 4: Determine the tension using the Newton's 2nd law of motion in the step :
VIEWStep 5: Determine the moment of inertia using the concept of torque in the step :
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