Releasing a frictionless box and a rolling disk with equal masses from the top of identical inclined planes, how much sooner does the box reach the bottom of the incline than the disk? Express your answer in terms of some or all of the variables m, h, θ, and R, as well as g. We know: The potential energy of the disk is converted into translational and rotational kinetic energy, so the translational speed grows more slowly than that of the box, which has no rotational energy.

Releasing a frictionless box and a rolling disk with equal masses from the top of identical inclined planes, how much sooner does the box reach the bottom of the incline than the disk? Express your answer in terms of some or all of the variables m, h, θ, and R, as well as g. We know: The potential energy of the disk is converted into translational and rotational kinetic energy, so the translational speed grows more slowly than that of the box, which has no rotational energy.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 30PQ

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