Point A of rod AB(l=2m) is moved upwards against a wall with velocity v=2m/s. Find angular speed (in rad/s) of the rod at an instant when θ=60∘.
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Solution
As the end A of the rod moves up along the wall with a velocity, 2m/s directed along +ve Y axis as shown in the figure. The other end of the rod, B, meanwhile moves with velocity, v , along -ve X direction as shown in the figure. So, resolving velocity at end A in two components, v1 and v2
and resolving velocity at B in two components in v3 and v4
v3=v2
∴vcos60∘=2cos30∘=√3
∴v=2√3m/s
Now looking at the components v1 and v4, both tending to move the rod in clockwise direction,