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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
W = 10 lb α=2 rad
2 s ω=7 rad
s d = 0.5 ft
l = 2 ft
g = 32.2 ft
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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- Spring '08