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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 140

An illustration from Analytical mechanics for students of physics and engineering, 1913, leaf 140
o be the mass ofthe particle, v its speed of pro-jection and r the radius of thecircle formed by the tube. Theradius of the cross-section ofthe tube is supposed to be neg-ligible. Suppose the particle tobe acted upon by no forces ex-cept the reaction of the innersurface of the tube. Then, sincethe… … Fig. 68. and m— = — N,r (2> where N represents the reaction of the walls of the tube uponthe particle. It is evident from equation (1) that the mag-nitude of the velocity is constant. Therefore the particledescribes the circular path with a constant speed. Equation(2) states that the normal…

Mechanics, Analytic

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