A 4-link quick return mechanism is shown in the figure.
r1 = 50 cm, r2 = 25 cm, ℓ = 80 cm, and input link, A0C, is rotating with a constant angular velocity of ω = φ̇ = 4 rad/s.
a) Perform the kinematic analysis analytically for the generalized coordinate of φ = 600. Find the positions and the velocities of the links 3 and 4.
b) Write the scalar loop equations.
c) Obtain s, θ, ṡ, θ̇ by performing velocity and acceleration analyses numerically for the positions calculated in (a).
d) Calculate the velocity coefficient and the velocity of the point D.