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problem1ch12_088_0001

# problem1ch12_088_0001 - 12-158 For a short time the arm of...

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Unformatted text preview: 12-158. For a short time the arm of the robot is extending at a constant rate such that 1" = 1.5 ft/s when r = 3 ft, z = (412) ft, and 9 = 0.51 rad, where r is in seconds. Determine the magnitudes of the velocity and acceleration ofthegripA whent=3s. 9:05!er r=3ft z=4tzﬁ 9=0.5 rad/s r'=l.5ftls 2:81st 1:, = 1.5 11., = 3(o.s) = 1.5 v: = 24 v =VW=24J ft/s Ans a, = o — 30.5)! = -1175 a,a = o + 205110.51: 1.5 az=8 a = Jt—o.75)= + (1.5)2 + (8)2 = 8.17 11/51 Ans 12-159. The partial surface of the cam is that of a loga- rithmic spiral r = (40e0'059) mm. where 6' is in radians. If the cam is rotating at a constant angular rate of 6 = 4 tad/s, determine the magnitudes of the velocity and ac- celeration of the follower rod at the instant 9 = 30°. 1! r = 4M0” r = 40346) = 41.0610 7!“ . 0.05 — r = 26*”? r' = 2e (6)141 = 8.21 mm/s Ans F = 0.150.034; (9)2 + 29°35“)- 005(l) F=o.1e' 6 (412+o=1.54m\$2 ’1 6 ...
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