Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 138
Integrating equations (1) and (2) we get X— Ci, and y= - gt + c2. MOTION OF A PARTICLE 121 Therefore the component of the velocity along the x-axisremains constant, while the component along the {/-axischanges uniformly. Let v0 be the velocity of projection,then when t = 0, x = v0 cos a and y = v0… … Fig. 66. Therefore the total velocity at any instant is v= Vr^s (5) (6) = vvQ- — 2 v0g sin a • t + gH*\and makes an angle 6 with the horizon defined by . if Vq (OS a tan 0=*? = —-. • x i0 sm a — #£ Integrating equations (3) and (4) we obtain X= r0 COS a •/ + C8j and y = v0 sin a • < — .*, g£2 +…
Mechanics, Analytic
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