762_Dynamics 11ed Manual

762_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 21 Guess θ = 50 deg Given W l sin ( θ ) = −( I3 − I1 ) ω cos ( θ ) ω sin ( θ ) θ = Find ( θ ) θ = 70.8 deg Problem 21-53 The rod AB supports the sphere of weight W. If the rod is pinned at A to the vertical shaft which is rotating with angular acceleration α k, and at the instant shown the shaft has an angular velocity ωk, determine the angle θ of the rod during the motion. Neglect the mass of the rod in the calculation. Given: W = 10 lb α=2 rad 2 s ω=7 rad s d = 0.5 ft l = 2 ft g = 32.2 ft 2 s Solution: I3 = 2 ⎛ W⎞ ⎛ d⎞ 2 ⎜ ⎟⎜ ⎟ ⎠ ⎝ 2⎠ 5⎝ g I1 = I3 + ⎛ W ⎞ l2 ⎜⎟ ⎝g⎠ Guess θ = 50 deg Given W l sin ( θ ) = −( I3 − I1 ) ω cos ( θ ) ω sin ( θ ) θ = Find ( θ ) θ = 70.8 deg 760 ...
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