A uniform disk of mass M and radius R starts from rest at the top of an incline at a vertical height h above the floor. If the disk rolls without slipping down the ramp then what is the magnitude of the velocity of the center of mass of the disk at the bottom of the incline? Answer in terms of any of the symbols given, as well as g or л, etc. You may use any technique that you wish, but include a force diagram if you do a force analysis or indicate your choice of coordinate system and the mechanical energy at each location of interest if you do an energy technique. Note: you only need to do a single technique for the calculation.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A uniform disk of mass \( M \) and radius \( R \) starts from rest at the top of an incline at a vertical height \( h \) above the floor. If the disk rolls without slipping down the ramp, then what is the magnitude of the velocity of the center of mass of the disk at the bottom of the incline? Answer in terms of any of the symbols given, as well as \( g \) or \( \pi \), etc. You may use any technique that you wish, but include a force diagram if you do a force analysis or indicate your choice of coordinate system and the mechanical energy at each location of interest if you do an energy technique. Note: you only need to do a single technique for the calculation.
Transcribed Image Text:A uniform disk of mass \( M \) and radius \( R \) starts from rest at the top of an incline at a vertical height \( h \) above the floor. If the disk rolls without slipping down the ramp, then what is the magnitude of the velocity of the center of mass of the disk at the bottom of the incline? Answer in terms of any of the symbols given, as well as \( g \) or \( \pi \), etc. You may use any technique that you wish, but include a force diagram if you do a force analysis or indicate your choice of coordinate system and the mechanical energy at each location of interest if you do an energy technique. Note: you only need to do a single technique for the calculation.
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