27 Find the period of a simple pendulum of length 9.80 m. 28 Find the length of

Question

27 Find the period of a simple pendulum of length 9.80 m. 28 Find the length of a simple pendulum that completes 10.0 oscillations in 20.0 s. 31. A uniform rectangular sign of width 50.0 cm, height 30.0 cm, and negligible thickness hangs vertically from supporting hinges attached at its upper edge. Find the period of small-amplitude oscillations of the sign. 34.The amplitude of oscillation of a mass attached to a spring decreases by 10% with each oscillation. By what percent does the energy of the system decrease with each oscillation?

Explanation / Answer

a)timeperiod T=2*pi*(l/g)^0.5 = 6.283s b)time period = 20/10 = 2sec from T=2*pi*(l/g)^0.5 l=0.99m d)energy of the system=(0.5*k*x^2) change in energy dE = 0.5*k*2*x*dx dE/E = (0.5*k*x*2*dx)/(0.5*k*x*x) dE/E = 2*(dx/x) therefore percentage change in energy is 20%

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