122_Dynamics 11ed Manual

# 122_Dynamics 11ed Manual - components of velocity and...

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Engineering Mechanics - Dynamics Chapter 12 a 400 mm = b 300 mm = c 700 mm = Solution: v r v a 2 b 2 + a 2 b 2 + c 2 + = v r 0.116 m s = v θ 0 = v z v c a 2 b 2 + c 2 + = v z 0.163 m s = a r a cos α () = a r a' a 2 b 2 + a 2 b 2 + c 2 + = a r 5.812 10 3 × m s 2 = a 0 = a z v c a 2 b 2 + c 2 + = a z 0.163 m s = Problem 12–171 A double collar C is pin-connected together such that one collar slides over a fixed rod and the other slides over a rotating rod. If the geometry of the fixed rod for a short distance can be defined by a lemniscate, r 2 = ( a cos b ) , determine the collar’s radial and transverse
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Unformatted text preview: components of velocity and acceleration at the instant = 0° as shown. Rod OA is rotating at a constant rate of ' . Given: a 4 ft 2 = b 2 = ' 6 rad s = Solution: 0 deg = r a cos b ( ) = r 2 a cos b ( ) = 2 rr' a − b sin b ( ) ' = r' a − b sin b ( ) ' 2 r = 120...
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