1) The connecting rod AB of a certain internal combustion engine weighs 1.2 lb with mass center at G and has a radius of gyration about G of 1.25 in. The piston and the wrist pin (pin A) together weigh 1.95 lb. The engine is running at a constant speed of 3000 rpm. Neglect the weights of the components and the fore exerted by the gas in the cylinder compared with the dynamic forces generated. a. Plot the velocity as a function of the crank angle (0)of the the piston head for one revolution of the crank angle. b. In the same graph in part a) graph the following equations for the velocity of the piston head sin (2wt) 21 1-(sin (wt)) 7 i. v-rw sin(wt) + ii. v-rw(sin(wt) + sin(2wt)) iii. Comment on the three graphs c. Plot the acceleration as a function of the crank angle (0)of the the piston head for one revolution of the crank angle. d. In the same graph in part c) graph the following equations for the acceleration of the piston head i. a=rw {cos(wt) _ *[(1-2cos(wt))=rsin (wt)] [1-(rsin(wt))1/2 ii. a = -rw (cos (wt) +cos (2wt)) iii. Comment on the three graphs r = crank length, angular velocity, wt = 0 e. 1 = connecting rod, w For one revolution, plot the axial and shear forces at the wrist pin. f. For one revolution, plot the axial and shear forces at the crank pin (pin B). g. Comment about the importance of information obtained in parts e) and f) h. At the Long Beach Grand Prix, racing cars can red line at 19,000 rpm. Find the acceleration of the Piston at TDC and BDC.