rod
How to find the kinetic energy of a thin rod?
A thin uniform rod (mass = 0.96 kg) changes around an axis passes through one end of the rod and is perpendicular to the plane of swing. Changes in the bar with a period of 1.3 s and an angular width of 6.7 °. (A) What is the length of the bar? (A) What is the maximum kinetic energy of the rod as it changes?
(A) The formula for the period of time, T, rodof fine suspension length L of one end is T = 2 pi sqrt [(k + l ^ 2 / l) / g] where k is the radius, l is L / 2 and g is the acceleration of gravity / k = L / [2sqrt (3)]. what 2x3.14xsqrt 1.3 = [(L / 2 + L / 6) / 9.8] or (1.3) ^ 2 = 4x (3.14) ^ 2 [2 / (3x9.8)] = 2.68 L or 1.69 L or L = 0.629 m or 63 cm (b) The maximum kinetic energy, KE = maximum potential energy = mgh, where h is the distance CG throuhj rising thin rod angular displacement of 6.7 degrees. h = (L / 2) [1 - cos 6.7] = 0.0021 m = KE so 0.96x9.8x0.0021 J = 0.02 J
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