801_Dynamics 11ed Manual

801_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 22 Solution: k rθ r = 2⎞ ⎛ −W ⎞ ⎛ r ⎟ θ'' − ⎛ WA ⎞ rθ'' r ⎜ ⎜⎟ ⎜⎟ ⎝ g ⎠⎝ 2 ⎠ ⎝g⎠ 2 r⎛ W⎞ 2 ⎜ WA + ⎟ θ'' + k r θ = 0 2⎠ g⎝ kg θ'' + W WA + 2 kg ωn = WA + τ= θ=0 2π W ωn = 15.66 rad s 2 τ = 0.401 s ωn Problem 22-21 While standing in an elevator, the man holds a pendulum which consists of cord of length L and a bob of weight W. If the elevator is descending with an acceleration a, determine the natural period of vibration for small amplitudes of swing. Given: L = 18 in W = 0.5 lb a=4 ft 2 s g = 32.2 ft 2 s 799 ...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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