If bar A B has an angular velocity ? A B = 7 r a d / s , determine the velocity
ID: 1862632 • Letter: I
Question
If bar AB has an angular velocity ?AB = 7rad/s , determine the velocity of the slider block C at the instant ?THETA = 62degrees, PHI = 22degrees .(Figure 1) Use the method of instantaneous center of zero velocity. Assume the direction to the right as positive.
If bar AB has an angular velocity ?AB = 7rad/s , determine the velocity of the slider block C at the instant ?THETA = 62degrees, PHI = 22degrees .(Figure 1) Use the method of instantaneous center of zero velocity. Assume the direction to the right as positive.Explanation / Answer
?AB = 7 rad/s, AB = 150 mm, BC = 200 mm, ? = 62o, ? = 22o
vB = ?AB * AB = 1050 mm/s
the instantaneous center O of BC is at the point of intersection of AB and the vertical line
vB = ?CB * OB
vC = ?CB * OC
?vC = vB * OC/OB
In the triangle OCB, angle OBC = ?, angle BOC = 90 - ?, so angle OBC = 180 - ? - (90 - ?) = 90 - (? - ?)
OC/OB = sin(OBC)/sin(BOC) = cos(? - ?)/sin?
?vC = vB*cos(? - ?)/sin? = 2147 mm/s = 2.147 m/s
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