Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 245
down an inclined groove with its axle rolling alongthe groove without slipping. Discuss the motion.Let a = the radius of the axle.h = the radius of the wheel.m= the mass of that part of theaxle which projects out fromthe wheel.m = the mass of the rest of the moving system.M = m-\- m. Suppose the… … a2 + 62 ToEQUE Method.—Consideringthe moments about the element ofcontact we obtain the following forthe torque equation: Idi = Mga sin a,(Zc+Afa^) CO = Mga sin a,{lo + Ma) V = Mga sin a,where Ic denotes the moment of in-ertia of the moving system aboutits own axis. a + b Energy Method. —…
Mechanics, Analytic
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