1. Locate D' and C' when link 2 forms 30°  with the horizontal in the first quadrant.
2. Show all construction (solution) lines.

A snowplow mounted on a truck clears a path 12 ft through heavy wet snow, as shown in Figure P5.80. The snow is 8 in. deep and its density is 10 lbm/ft3. The truck travels at 30 mph. The snow is discharged from the plow at an angle of 45° from the direction of travel and 45° above the horizontal, as shown in Figure P5.80. Estimate the force required to push the plow.

Q8 (20 points): Using Lagrange's equations, obtain the equations of motion of the system which consists of a disk of mass M and radius R, to which a pendulum of mass m and length L is attached by a pin joint at D. Friction is sufficient to prevent slip of the disk while it rolls (no slip). The force F is always horizontal. 

A horizontal pipe CD freely rotates about an axis AB. A small ball with mass m is

initially put inside the pipe at M (MC = a). Given the pipe an initial rotation rate of coo.

determine when the ball reaches the exit D (1) the small ball's rotation rate, ∞, and (2) the

force the pipe acting on the ball at D. Free-body diagram is required.