Nonuniform cylindrical object. In the figure, a cylindrical object of mass M and radius R rolls smoothly from rest down a ramp and onto a horizontal section. From there it rolls off the ramp and onto the floor, landing a horizontal distance d = 0.470 m from the end of the ramp. The initial height of the object is H = 0.92 m; the end of the ramp is at height h = 0.13 m. The object consists of an outer cylindrical shell (of a certain uniform density) that is glued to a central cylinder (of a different uniform density). The rotational inertia of the object can be expressed in the general form | = ßMR², but ẞ is not 0.5 as it is for a cylinder of uniform density. Determine ẞ. H Number Units h T
Nonuniform cylindrical object. In the figure, a cylindrical object of mass M and radius R rolls smoothly from rest down a ramp and onto a horizontal section. From there it rolls off the ramp and onto the floor, landing a horizontal distance d = 0.470 m from the end of the ramp. The initial height of the object is H = 0.92 m; the end of the ramp is at height h = 0.13 m. The object consists of an outer cylindrical shell (of a certain uniform density) that is glued to a central cylinder (of a different uniform density). The rotational inertia of the object can be expressed in the general form | = ßMR², but ẞ is not 0.5 as it is for a cylinder of uniform density. Determine ẞ. H Number Units h T
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 44P: Consider two objects with m1 m2 connected by a light string that passes over a pulley having a...
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