Analytical mechanics for students of physics and engineering by Dadourian Haroutune Mugurditch

Analytical mechanics for students of physics and engineering by Dadourian Haroutune Mugurditch

Author:Dadourian, Haroutune Mugurditch. [from old catalog]
Language: eng
Format: epub, pdf
Tags: Mechanics, Analytic
Publisher: New York, D. Van Nostrand company
Published: 1913-03-25T05:00:00+00:00


Fig. 26.

Fig. 27.

produce a translation in a direction BB'. Then pass through the body a smooth bar of rectangular cross-section in the direction of the supposed motion, so that the body is free to move along the bar but not free to rotate. When this constraint is imposed upon the rigid body it behaves like a particle and therefore cannot be given a motion by two equal and opposite forces. But since any motion in the direction BB ' is not affected by the presence of the bar, the assumption that the couple produces a motion of translation along BB' must be wrong. Hence we see that when the bar is taken out the motion due to the couple will be one of pure rotation.

43. Measure of Torque. — When a rigid body is in equilibrium under the action of two couples it is always found that the product of one of the forces of one couple by the distance apart of the forces of the same couple equals the



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