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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 105

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VE EXAMPLE. A particle describes a circle of radius a with a constant speed v. Findits angular velocity relative to anaxis through a point on the cir-cumference and perpendicular tothe plane of the circle. Lei P (Fig. 55) be the positionof the particle and 0 the point atwhich the axis of reference… … dd = $d<i> 1 ds 2 a de dt 2 a dtv2a Thus the angular velocity about O is independent of the position of theparticle and equals one-half the angular velocity aboul the center. PROBLEMS. 1. The radius of the earth is 4000 miles and thai of its orbit 93 million miles. Compare the angular…

Mechanics, Analytic

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