101_Dynamics 11ed Manual

101_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 12 If a particle’s position is described by the polar coordinates r = a (1 + sin bt ) and θ = ce dt , determine the radial and tangential components of the particle s velocity and acceleration when t = t 1 . Given: a 4m = b 1s 1 = c 2 rad = d 1 s 1 = t 1 2s = Solution: When tt 1 = ra 1 sin bt () + = r' ab cos = r'' a b 2 sin = ce dt = 'c d e = '' cd 2 e = v r r' = v r 1.66 m s = v r ' = v 2.07 m s = a r r'' r ' 2 = a r 4.20 m s 2 = a r '' 2 r' ' + = a 2.97 m s 2 = Problem 12–138 The slotted fork is rotating about O at a constant rate
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