For the mechanism in the posture shown, massless link 4 is rolling on the ground link. The firstand second-order kinematic coefficients of links 3 and 4 are θ

3 = 0, θ

4 = −1.0 rad/m, θ

3 =

1.0 rad/m2, and θ

4 = 1.0 rad/m2. The velocity and acceleration of the mass center of input link 2 are VG2 = 7ˆi m/s and AG2 = −2ˆi m/s2, respectively. The free length and spring rate of the spring, the damping constant of the viscous damper, the masses, and mass moments of inertia of links 2 and 3 are provided in the table. Gravity is in the negative y direction, and a horizontal external force P acts on link 2. Determine:

(a) the first-order kinematic coefficients of the spring and the damper;

(b) the first- and second-order kinematic coefficients of the mass center of link 3;

(c) the equivalent mass;

(d) the equation of motion; and

(e) the force, P, acting on link 2.