d Since the spokes of a bicycle wheel have much less mass than the rim, the wheel...

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Physics

d
Since the spokes of a bicycle wheelhave much less mass than the rim, the wheel can be modeled as acylindrical hoop ofmass 1.90 kg and radius 0.6 m. This wheel rotates without frictionabout a vertical axis perpendicular to the disk and through itscenter. Standing on the rim is a kitten of mass 1.00 kg (the kittencan be modeled as a point mass). The wheel (with the kittenstanding on it) rotates with an angular velocity of 0.600revolutions per second.
a) What is the moment of inertia ofthe wheel/kitten system?
b) The kitten then scampers from itsinitial position inward on the wheel until it is standing at thecenter. What is the new moment of inertia of the wheel/kittensystem?
c) What is the angular velocity of thesystem when the kitten reaches the center?
d) What is the ratio of the system

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4.5 Ratings (759 Votes)

This question requires conservation of angular momentumrotational kinetic energy and knowing that the moment of inertiafor a thin hoop and a point mass are bothmr2Part aStep 1 Since the system of the kitten and wheel is composed oftwo objects the total moment of inertia IT ofthem will bewith Iw and Ik being themoments of inertia for the wheel and kitten respectivelyStep 2 Since the moment of inertia for a thin hoop and a pointmass around an axis are both mr2 use that tofill in for the moments and simplify See Answer

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