problem1) (a) Determine the crank position corresponding to maximum piston velocity for an in-line slider crank mechanism. Crank speed w is constant, and the ratio of the connecting rod to the crank length is L/R=1.5.

(b) Determine the maximum piston velocity in terms of R and w.

problem2)

One end of the tube is closed, and the other is open. A 15 g projectile is placed near the closed end, is fastened in place with a removable pin, and the space (1 cm3) between the projectile and the sealed end is filled with air and is held at a pressure of 1 MPa and a temperature of 27°C. The ambient air is at 0.1 MPa. Suppose that the air in the closed end expands isothermally when the pin is pulled, and that the pressure of the air inside the tube is 0.1 MPa when the projectile reaches the open end of the tube, determine the following:

(a) the final volume and mass of the air at that point,

(b) the work done by air and work done on the atmosphere, and

(c) the work to the projectile and the projectile’s exit velocity.