Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 334
gt;[< motion 317 Substituting this value of G in the torque equation we hav I dt -2FDcos- = - 2 TD sin ^ cos -. First Approximation. — When 0 and 0 are small the fol-lowing relations give close enough ap-proximations. T = h mg, cos- = 1, — ID Dd = 1(f)* sin 0 = 0 ?<■ flaking these… … T cos <f>=%mg and ea = lsin<t> = 2 Dsin- • Thereforeand . 2D . 0 sin 0 = — sin - T = mg mg _ COS 0 n/-4-;-, * The lineea is considered as an arc of each ol two circles with centers a1 g and c 318 ANALYTICAL MECHANICS Making these substitutions in the torque equation we obtain rfco _…
Mechanics, Analytic
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