Compute the angular velocity of bar, Mechanical Engineering

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Compute the angular velocity of bar:

A bar AB as shown in slides so that its bottom point A has a velocity of 4 m/sec to the left along the horizontal plane. Compute the velocity of B and also the angular velocity ω. (by velocity diagram method).

We have

 v B  = v A  + v AB  (where, vAB is perpendicular to AB)

Solution

Select any point O. Draw vA to scale (oa). Draw a line along which vB lies. From a, draw vAB in a direction perpendicular to AB where it cuts the line drawn from O along O b. Name it b. Refer Figure (b).

Then Ob represents VB and ab represents vAB.

∴          v A / sin 60o =   vB /sin 75o =     v AB /sin 45o

∴ vB  = 4.46 m / sec ; vAB = 3.265 m/s

ω = v AB / AB

= 3.265 rad / sec


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