Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 97
ore the path is a parabola, Fig. 49. To find the component-velocities we differentiate (a) and (b) withrespect to the time. This gives Y x = a, y - -</<• .-. v = \/«2 + gt2. Discussion. — The horizontal compo-nent of the velocity IS directed tn the rightand is constant, while the vertical… … MOTION 81 PROBLEMS. 1. Find the path and the velocity of a particle which moves bo thatits position at any instant is ijiven by the following pairs of equal ii (a) x = at, V = ht. (b) x = at, y = at- \ gt°- (c) X = at, y = b cos ut. (d) X = a sin ut, V = bt. (e) x = a sin ut, y = a cos ut. (f) x =…
Mechanics, Analytic
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