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Axis Mass element: rod segment of length dr dx -x- M- -L- -L-h

Axis Mass element: rod segment of length dr dx -x- M- -L- -L-h

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Figure shows a slender uniform rod with mass M and length L.
It might be a baton held by a twirler in a marching band (without the
rubber end caps). (a) Use integration to compute its moment of inertia
about an axis through O, at an arbitrary distance h from one end.
(b) Initially the rod is at rest. It is given a constant angular acceleration
of magnitude a around the axis through O. Find how much work is
done on the rod in a time t. (c) At time t, what is the linear acceleration
of the point on the rod farthest from the axis? 

Axis Mass element: rod segment of length dr dx -x- M- -L- -L-h
Transcribed Image Text:Axis Mass element: rod segment of length dr dx -x- M- -L- -L-h
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