501_Dynamics 11ed Manual

501_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 16 Problem 16-146 The disk rotates with the angular motion shown. Determine the angular velocity and angular acceleration of the slotted link AC at this instant. The peg at B is fixed to the disk. Given: ω 6 rad s = α 10 rad s 2 = l 0.75 m = θ 30 deg = φ 30 deg = r 0.3 m = Solution: u 1 sin () cos 0 = u 2 cos sin 0 = k 0 0 1 = r 1 l u 1 = r 2 r u 2 = Guesses AC 1 rad s = AC 1 rad s 2 = v rel 1 m s = a rel 1 m s 2 = Given kr 2 × AC 1 × v rel u 1 + = 2 × 2 r 2 AC 1 × AC 2 r 1 a rel u 1 + 2 AC k v rel u 1 × + = AC AC v rel a rel Find AC AC , v rel , a rel , = v rel 1.80 m s = a rel 3.00 m s 2 = AC 0.00 rad s = AC
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