A homogeneous steel wheel of radius R and mass M rolls without slipping on a horizontal rail, as shown in the Figure. A point mass m=2M is soldered at a point A of the wheel located at a distance R/2 from the center O. Assume that all the quantities mentioned so far are known, and let y be the clockwise-growing angle formed by the segment OA with the vertical direction. Find, as functions of y and p: a) The vector velocity of O. b) The vector velocity of A. c) The mechanical energy of the system.

A homogeneous steel wheel of radius R and mass M rolls without slipping on a horizontal rail, as shown in the Figure. A point mass m=2M is soldered at a point A of the wheel located at a distance R/2 from the center O. Assume that all the quantities mentioned so far are known, and let y be the clockwise-growing angle formed by the segment OA with the vertical direction. Find, as functions of y and p: a) The vector velocity of O. b) The vector velocity of A. c) The mechanical energy of the system.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 68P: Find the cross product for (a) and (b) and (c) and and (d) and

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