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\\(undefined\\) \\(undefined\\) In the instant shown, point A is moving at V= 18

ID: 1863106 • Letter: #

Question

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(undefined) In the instant shown, point A is moving at V= 18i-3j m/s and w_(AB)=1 rad/s counterclockwise. Point A is .4 m behind and .4 m above point B, and bar BC is .85 m long. What is w_(BC) and what are the coordinates of the instantaneous center of rotation of bar AB? Angle theta = 135 degrees.

In the instant shown, point A is moving at V= 18i-3j m/s and w_(AB)=1 rad/s counterclockwise. Point A is .4 m behind and .4 m above point B, and bar BC is .85 m long. What is w_(BC) and what are the coordinates of the instantaneous center of rotation of bar AB? Angle theta = 135 degree s.

Explanation / Answer

Va = r(B/C)j X wBCk + r(A/B) X wAB


18i - 3j = 0.85*wBC i + (-0.4i - 0.4j) X -1k


18i - 3j = 0.85wBC i - 0.4j + 0.4i


18 = 0.85wBC + 0.4


wBC = 20.7rad/s


Instantaneous axis of rotation = (0, 2.8)