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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 206

An illustration from Analytical mechanics for students of physics and engineering, 1913, leaf 206
tant. 155. Kinetic Energy of a Rigid Body Rotating About a FixedAxis. Suppose the rigid body A, Fig. lOl^to rotate aboutan axis through the point O, at right angles to the plane ofthe paper. Consider the kinetic energy of an element ofi!Li— dm al a distance r from the axis. If v denotes thevelocity… … where / is the rnoment of inertiaof the body about the axis ofrotation. Comparing the expression forthe kinetic energy of rotationwith the expression for the kineticenergy of translation.we observethat moment of inertia plays thesame role in motion of rotation as mass, the linear inertia,plays in…

Mechanics, Analytic

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