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S.Prove - To miby the method of diranim |
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Answer» Assuming the pendulum executes simple harmonic motion, a = -w^2 x.Since the pendulum is released from rest, only gravitational force acts on it to cause it to swing.The pendulum accelerates in the negative direction if its displacement is positive (depends on sign convention; just be consistent). a= -g sin B = -g B (small angle approximation; B in radians)x = LB (length of arc; B in radians)-g B = -w^2 LBg/L = (2π/T)^2T^2 = (2π)^2 (L/g)T = 2π√(L/g) [only consider the positive root since T cannot be negative] |
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