The slotted fork is rotating about O at the rate ' which is increasing at '' when = 1 . Determine the radial

The slotted fork is rotating about O at the rate θ' which is increasing at θ'' when θ = θ₁. Determine the radial and transverse components of the velocity and acceleration of the pin A at this instant. The path is defined by the spiral groove r = (5 + θ /π) in., where θ is in radians. Given:

8 = 3 8' = 2 c = 1 rad S b = 5 in rad 2 S in 8 = 2 7 rad