Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 303
force. Thus, if F denotes the force,F=-mj (r) = — mh 00/ , d2u\ (VI) II.USTI!atiyi: EXAMPLE. A particle describee a circle in acent nil field of force. Determine thelaw of force if the center of the fieldlie- on the path. Taking the center as the origin,29, and the diameter throughthe origin as the… … (2) MOTION OF A PARTICLE 287 Substituting in equation (VI) from equations (1) and (2) we get F = -«^a. (3) Therefore the force varies inversely as the fifth power of the distance fromthe center i»f force. The aegative sign in the second member of equation(3) shows that the force is directed towards…
Mechanics, Analytic
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