113_Dynamics 11ed Manual

113_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Engineering Mechanics - Dynamics Chapter 12 v r r' = v r 4.003 m s = v θ r ' = v 28.3 m s = a r r'' r ' 2 = a r 5.432 m s 2 = a 2 r' ' = a 1.601 m s 2 = Problem 12-157 The arm of the robot has a variable length so that r remains constant and its grip. A moves along the path z = a sin b . If = ct , determine the magnitudes of the grip’s velocity and acceleration when t = t 1 . Given: r 3f t = c 0.5 rad s = a t = t 1 3s = b 4 = Solution: tt 1 = ct = rr = za sin bct () = 'c = r' 0 ft s = z' abc cos = '' 0 rad s 2 = r'' 0 ft s 2 = z'' a b 2 c 2 sin = vr ' 2 r ' 2 + z' 2 + = v 5.953 ft s = a r'' r ' 2 2 r '' 2 r' '
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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