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the rod OB rotates counterclockwise about the origin at the constant angular spe

ID: 1853642 • Letter: T

Question

the rod OB rotates counterclockwise about the origin at the constant angular speed of 45 rev/min while the collar A slides toward B with the constant speed 2 ft/s, measured relative to the rod. When collar A is in the position R= .8ft, theta = 0, calculate velocity vector and its acceleration vector. I'm not sure how to start this problem. I'm assuming the first thing you would need is the position and from there you would take its derivative to find the velocity and then the same when you are trying to find the acceleration. Help please?

Explanation / Answer

an upward velocity will be seen=wr ; where w=angular vel and r=radius ; velocity vector= 1.15 m/s in upward(wr) and 0.6096 m/s in direction A to B ; velocity net=1.300 m/s ; angle=62.07 with horizontal ; acc=w^2/r ; =90.92 m/s^2 from B to A