A certain engine develops an output torque of 1800 + 200sin2??Nm, where ? is the crank angle measured from some datum. Thisengine drives a machine which requires a driving torque of 1800 +300sin?? Nm. The rotating parts have a mass of 100 kg, with aradius of gyration of 0.25 m. The maximum speed of the rotatingparts is observed to be 250 rev/min. a) Sketch both the driving andload torque curves on the same axes b) Prove that during 1 cycle,the maximum energy is stored between ? and 5.56 radians c)Determine the maximum energy stored d) Determine the minimum speedof the rotating parts e) Determine the coefficient of fluctuationof speed f) Determine the mean power developed by the engine