6. You went to the top of a hill, a vertical height of 9 meters with respect to the bottom. You brought with you a solid wheel with a mass of 3 kg and a radius of 0.5 meters. You placed it at rest at the top and allowed it to roll without slipping down to the bottom. The moment of inertia for a solid wheel is 1/2 MR².
6. You went to the top of a hill, a vertical height of 9 meters with respect to the bottom. You brought with you a solid wheel with a mass of 3 kg and a radius of 0.5 meters. You placed it at rest at the top and allowed it to roll without slipping down to the bottom. The moment of inertia for a solid wheel is 1/2 MR².
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Transcribed Image Text:6. You went to the top of a hill, a vertical height of 9 meters with respect to the bottom.
You brought with you a solid wheel with a mass of 3 kg and a radius of 0.5 meters.
You placed it at rest at the top and allowed it to roll without slipping down to the bottom.
The moment of inertia for a solid wheel is 1/2 MR².
What was the angular momentum of the wheel when it reached the bottom of the hill?
Write your answer with proper units and as a vector, using a coordinate system where positive x
points down the hill and y points perpendicularly upwards from the surface of the hill. This is a
'right-handed' coordinate system, so 'into the page' would be the negative z direction.
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