Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 136
e. MOTION OF A PARTICLE 119 108. E. Atwoods Machine. — The problem is to find tin-equations of motion of two particles connected by means ol astring of negligible mass which is slungover a smooth pulley. Let mi and m2 be the masses of theparticles. Then considering each parti-cle separately we… … dt dv _ mi — m2 dt mi + m2: (d) t ini9 m2g Fig. 65. Therefore the acceleration is constant and consequently tin-equations of motion are obtained by substituting this valueof the acceleration in equations (1) to (3) of page 113: V = v0 + mi-m2mi + m» = v0t + mi-mi & 2(mi + m2)i V2 -*■+ mi-…
Mechanics, Analytic
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