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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 142

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smooth. Let m 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.… … Fra. 68. and a0- m— = — N,r (1) 2 where N represents the reaction of the walls of the tube uponthe particle. It is evident from equation (1) thai 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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