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.

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Chapter7: Rotational Motion And Gravitation
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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.
Transcribed Image Text: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.
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