MII-1 Consider a solid disk of mass M and radius R, which has a uniform density. a) The disk is rotated about an axis that goes through its center and is perpendicular to its face, as shown in the diagram below on the left. Find a formula for its moment of inertia. Your answer should be a symbolic expression that only depends on the variables M and R. Hint: you will need to divide the disk into infinitesimal mass elements (dm) and then perform the integral: b) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part a) to calculate a numerical value for the moment of inertia, in kg m2. c) Now the axis of rotation is moved from the center of the disk to the end of the disk, as shown in the diagram below on the right. Find an expression for its moment of inertia. Hint: you don't need to perform another integral, just use the parallel axis theorem. As before, your answer should only depend on the variables M and R. d) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part c) to calculate a numerical value for the moment of inertia, in kg m2. G

MII-1 Consider a solid disk of mass M and radius R, which has a uniform density. a) The disk is rotated about an axis that goes through its center and is perpendicular to its face, as shown in the diagram below on the left. Find a formula for its moment of inertia. Your answer should be a symbolic expression that only depends on the variables M and R. Hint: you will need to divide the disk into infinitesimal mass elements (dm) and then perform the integral: b) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part a) to calculate a numerical value for the moment of inertia, in kg m2. c) Now the axis of rotation is moved from the center of the disk to the end of the disk, as shown in the diagram below on the right. Find an expression for its moment of inertia. Hint: you don't need to perform another integral, just use the parallel axis theorem. As before, your answer should only depend on the variables M and R. d) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part c) to calculate a numerical value for the moment of inertia, in kg m2. G

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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