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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 245

An illustration from Analytical mechanics for students of physics and engineering, 1913, 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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