Problem # p035

Linkage, Relative velocity
The shown contraption consists of the two rods AB and BC. Rod AB rotates about the fixed point A but is connected by a pin/hole connection to rod BC. At point C a glider is attached to rod BC allowing point C to move only in the x-direction.
The length of the two rods are :

LAB = 3.2 m     LBC = 3.6 m

The angle : Θ1 = 38.66°
Also given is the velocity of point C : vx,C = +10 m/s
Determine
  1. the angle Θ2 (the angle at point B is NOT 90°)
  2. the angular velocities of rod AB and rod BC using the concept of relative velocity.