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, v_{AB} is perpendicular to AB)
Solution
Select any point O. Draw v_{A} 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 V_{B} and ab represents v_{AB}.
∴ v _{A} / sin 60^{o} = v_{B }/sin 75^{o} = v _{AB} /sin 45^{o}
∴ v_{B} = 4.46 m / sec ; v_{AB} = 3.265 m/s
ω = v _{AB} / AB
= 3.265 rad / sec