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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 12 Given:
ft r' = 1.5 s ft b=4 2 s rad c = 0.5 s t1 = 3 s
r1 = 3 ft
t = t1 Solution: 2 θ = ct z = bt θ' = c r = r1 z' = 2b t v= r' + ( rθ' ) + z' a= (−r θ' 2)2 + (2r'θ' )2 + z'' 2 2 2 2 z'' = 2b v = 24.1 ft
s a = 8.174 ft
2 s Problem 12–159
The rod OA rotates counterclockwise with a constant angular velocity of θ'. Two
pin-connected slider blocks, located at B , move freely on OA and the curved rod whose shape
is a limaçon described by the equation r = b(c − cos(θ)). Determine the speed of the slider
blocks at the instant θ = θ1.
Given: θ' = 5 rad
s b = 100 mm
c=2 θ 1 = 120 deg
Solution: θ = θ1
r = b( c − cos ( θ ) )
r' = b sin ( θ ) θ'
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- Spring '08