Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 289
The angular momentum about 0 just before the hoop begins to rotateabout 0 equals the angular momentum of the hoop due to the motion ofthe hoop about its geometrical axis plus its angular momentum due toits motion with its center of mass. Therefore H^ = 1 ci^ + mv • a cos a= ma^u + TOa^oj cos a=… … or ti = 1 -|- cos a ANGULAR IMPULSE AND ANGULAR MOMENTUM 275 where v is the hnear velocity of the center of the hoop while the latterrotates about 0, and v the velocity afterwards. Discussion. — When a = 0, that is, when the two pegs coincide, « = o) and v = v, as they should. When a = ^, «= -, v=…
Mechanics, Analytic
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