Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 221
nd the force which a particle placed upon a smooth inclined planeexperiences by virtue of its potential energy. Also find the componentsof the force along the axes of a rectangu-lar system, in which the g-axis is normalto the inclined plane and the a;-axis ishorizontal. Let the origin of the axes,… … Fig. 104. Thus the force due to the gravitational field is downwards and equals theweight of the particle. The components of the force are found by equa-tion (I). Thus dU dh „ — =-mg— = 0.ax ax Z= - Therefore the force along the x-axis is nil. V dU dh Y = - -— = — mg— = — mgsma. dy dy Therefore the…
Mechanics, Analytic
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