746_Dynamics 11ed Manual

746_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Given Chapter 21 ⎛0⎞ ⎜⎟ Imat⎜ 0 ⎟ oc = IOC ω2 ⎜ ω1 ⎟ ⎝⎠ ω2 = Find ( ω2 ) ω2 = −0.63 rad s ⎛ 0.00 ⎞ rad ω2 oc = ⎜ −0.44 ⎟ ⎜ ⎟s ⎝ 0.44 ⎠ Problem 21-37 The plate of weight W is subjected to force F which is always directed perpendicular to the face of the plate. If the plate is originally at rest, determine its angular velocity after it has rotated one revolution (360°). The plate is supported by ball-and-socket joints at A and B. Given: W = 15 lb F = 8 lb a = 0.4 ft b = 1.2 ft g = 32.2 ft 2 s Solution: a⎞ θ = atan ⎛ ⎟ ⎜ θ = 18.43 deg ⎝ b⎠ IAB = 2 2 ⎛ W ⎞ ⎛ a ⎞ cos ( θ ) 2 + ⎛ W ⎞ ⎛ b ⎞ sin ( θ ) 2 ⎜ ⎟⎜ ⎟ ⎜ ⎟⎜ ⎟ ⎝ g ⎠ ⎝ 12 ⎠ ⎝ g ⎠ ⎝ 12 ⎠ 2 IAB = 0.0112 lb⋅ ft ⋅ s rad Guess ω=1 Given F a cos ( θ ) ( 2π ) = s ω = Find ( ω) 1 2 IABω 2 ω = 58.4 rad s 744 ...
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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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