Problem-1 Suppose that you have a long, thin rod, as in Figure-1, with a non-uniform linear mass density given by dm/dx = p(x) = μo + ax, where a is the distance along the rod from one end, and a = du/dx is constant. (a) What are the dimensions of the parameters and a? X Figure 1: Non-uniform rod. (b) What is the moment of inertia of the rod for rotations around an axis perpendicular to the rod and passing through the end of the rod at x = 0?

Problem-1 Suppose that you have a long, thin rod, as in Figure-1, with a non-uniform linear mass density given by dm/dx = p(x) = μo + ax, where a is the distance along the rod from one end, and a = du/dx is constant. (a) What are the dimensions of the parameters and a? X Figure 1: Non-uniform rod. (b) What is the moment of inertia of the rod for rotations around an axis perpendicular to the rod and passing through the end of the rod at x = 0?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter9: Energy In Nonisolated Systems

Section: Chapter Questions

Problem 32PQ

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