496_Dynamics 11ed Manual

496_Dynamics 11ed Manual - b sin b cos 2 CD v rel sin cos =...

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Engineering Mechanics - Dynamics Chapter 16 Problem 16-141 Block B of the mechanism is confined to move within the slot member CD. If AB is rotating at constant rate ω AB , determine the angular velocity and angular acceleration of member CD at the instant shown. Given: AB 3 rad s = a 100 mm = θ 30 deg = b 200 mm = Solution: Guesses CD 1 rad s = α CD 1 rad s 2 = v rel 1 m s = a rel 1 m s 2 = Given 0 0 AB a 0 0 × v rel sin () cos () 0 0 0 CD b sin () b cos () 0 × + = 0 0 AB 0 0 AB a 0 0 × × a rel sin () cos () 0 0 0 CD b sin () b cos () 0 × + 0 0 CD 0 0 CD
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Unformatted text preview: b sin ( ) b cos ( ) + ... 2 CD v rel sin ( ) cos ( ) + ... = CD CD v rel a rel Find CD CD , v rel , a rel , ( ) = v rel 0.26 m s = a rel 0.34 m s 2 = CD 0.75 rad s = CD 1.95 rad s 2 = 494...
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