Question

The fixed hydraulic cylinder C imparts a constant upward velocity v to the collar B, which slips freely on rod OA. Determine the resulting angular velocity ωOA in terms of v, the displacement s of point B, and the fixed distance d.

Answer 1

Step-by-step explanation:

Let

The cylinder imparts an upward velocity which is v m/s which slips on the rod OA.

The distance from the fixed hydraulic cylinder to the collar is given as s

From the figure given below, we can find the resulting angular velocity ω of the link OA in terms of velocity v, the displacement s of point B and the fixed distance d from the given mechanism.

We know that for angular velocity of link OA

`\omega _(OA)=(v* d)/(s^(2)+d^(2))`

where v is velocity

s is the displacement

d is the distance