Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 347
a fixed cylinder.Find the period of the motion, supposing the contact between the cylin-ders to be rough enough to prevenl sliding. 330 ANALYTICAL MECHANICS Let m be the mass of the vibrating cylinder and a and b the radii of thevibrating and the fixed cylinders, respectively. Then at any instant T… … where v is the linear velocity of the axis of the moving cylinder and 6 itsangular velocity. Therefore T = fm(6-a)202. On the other hand we have the following expressions for the potentialenergy: U = mgh = mg (b — a) (1 — cos 6) -»-«>H-atS~ ••)*]• Since 0 is supposed to remain small all the…
Mechanics, Analytic
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