2. On the slider crank system as shown in the right,
(1) Define your global coordinate system.
(2) Write the vector equation for displacement and calculate the position of point A and G when $\theta = 45^\circ$. (5%)
(3) Follow (2) with link OB rotating at constant speed 10 rps clockwise on kinematic analysis, calculate the angular velocity of AB (5%) and the translational velocity of the piston (5%).
(4) Follow (3), calculate the velocity and acceleration of point G. (10%)
(5) In addition to the above kinematic analysis, consider dynamics of the slider crank system with a horizontal force applied to the piston and link OB is free to rotate. Draw the free body diagram of all the rigid bodies by denoting all the applied and reaction forces. (10%) List the equations of motion of all the links. (10%) Point out all the unknowns. (5%)