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628_Dynamics 11ed Manual

# 628_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 18 L = 4 ft k=5 lb ft θ 1 = 30 deg θ 2 = 90 deg g = 32.2 ft 2 s Solution: Guess ω=1 rad s Given 2⎞ ⎛ L ⎞ sin ( θ ) + 1 k L2 ⎡ 2( 1 + cos ( θ ) ) − 1⎤ 2 = 1 ⎛ W ⎞ ⎛ L ⎟ ω2 + W⎛ L ⎞ sin ( θ ) ... 0 + W⎜ ⎟ ⎜ ⎟⎜ ⎜⎟ 1 1 2 ⎣ ⎦ 2 2 ⎝ g ⎠⎝ 3 ⎠ ⎝2⎠ ⎝2⎠ 2 12 + k L ⎡ 2( 1 + cos ( θ 2 ) ) − 1⎤ ⎣ ⎦ 2 ω = Find ( ω) ω = 1.178 rad s Problem 18-53 The slender rod AB of weight w is attached to a spring BC which has an unstretched length L. If the rod is released from rest when θ = θ1, determine the angular velocity of the rod the instant the spring becomes unstretched. Given: W = 25 lb θ 1 = 30 deg L = 4 ft g = 32.2 ft 2 s lb k=5 ft Solution: When the spring is unstretched Guess ω=1 θ 2 = 120 deg rad s 626 ...
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