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Show that a sphere of radius R that is rolling without slipping has angular momentum and momentum in the ratio L/p - (2/5)R.
Instruction
1. Draw a free body diagram of a rolling sphere and write down net force and not torque equations. (The surface is not frictionless.XYou do not
need this part to answer the question, but I want you to practice setting up equations from rotational motion.)
2. Find the relationship between linear speed and angular speed.
3. Calculate the momentum and angular momentum and show the ratio is L/p = (2/5)R
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Transcribed Image Text:Show that a sphere of radius R that is rolling without slipping has angular momentum and momentum in the ratio L/p - (2/5)R. Instruction 1. Draw a free body diagram of a rolling sphere and write down net force and not torque equations. (The surface is not frictionless.XYou do not need this part to answer the question, but I want you to practice setting up equations from rotational motion.) 2. Find the relationship between linear speed and angular speed. 3. Calculate the momentum and angular momentum and show the ratio is L/p = (2/5)R
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