The equation of the turning moment diagram for the three crank engine and the equation of the moment required by a machine connected to this engine are given below: Engine Torque Machine Torque T=10000-500 sin (40) T=10000+2000 sin (20) N.m N.m where radians is the crank angle from inner dead center and the mean engine speed is 300 rpm. It is required to select a proper flywheel (find the moment of inertia of the flywheel in kgm2) and then calculate the power of the engine if the total percentage fluctuation of speed of the flywheel is ±1% of the mean speed. Calculate the angular acceleration of the flywheel when angle is 45°.

The turning moment diagram for the engine is drawn to the following scales: Turning moment, 1 mm = 1000 N-m and crank angle, 1 mm = - 6°. The areas above and below the mean turning moment line taken in order are : 530, 330, 380, 470, 180, 360, 350 and 280 mm². The mean speed of the engine is 150 r.p.m. and the total fluctuation of speed must not exceed 3.5% of mean speed. Determine the diameter and mass of the flywheel rim, assuming that the total energy of the flywheel to be 15/14 that of rim. The peripheral velocity of the flywheel is 15 m/s. Find also the suitable cross-scetional area of the rim of the flywheel. Take density of the material of the rim as 7200 kg/m³. [Ans. 1.91 m; 8063 kg; 0.1866 m²]

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2. A 75 kW induction motor runs at 740 rpm in clockwise direction. A 19 tooth helical pinion with20 degree normal pressure angle, 10 mm normal module and a helix angle of 23 degree is keyed to the motor shaft. Draw a 3-dimensional sketch of the motor shaft and the pinion. Show the forces acting on the pinion and the bearing at A and B. The thrust should be taken out at A All dimensions are in mm y 750 B 200 Z2=38 Z₁ = 19 X

a) Derive the Jacobian to relate the joint velocities to the tool-point velocities. b) Calculate the tool point linear velocity if joint 1 is rotating at 1.5 rad/s and joint 2is rotating at 2 rad/s (a1 = 1.5, a2 = 3.5 θ1= 155 degrees, θ2 = -120 degrees).

What do you mean by I.C.R.? What are the formulae for calculating I.C.R for all mechanisms? How will you find I.C.R. of velocity for 4 bar chain mechanisms and single slider crank mechanism? How will you find graphically & analytically the methods of velocity & acc. Analysis of 4-bar chain mechanism and single slider crank mechanism?

What is the power (?) lost to main crankshaft friction in a four-cylinder engine with a 100mmbore and stroke if the engine is operating at 1500 rpm? Assume the main crankshafthas five bearings, each with a diameter of 50 mm and length of 25 mm.

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3. In a turning moment diagram, the areas above and below the mean torque line taken in order are 4400, 1150, 1300 and 4550 mm² respectively. The scales of the turning moment diagram are: Turning moment, 1 mm = 100 N-m; Crank angle, 1 mm = 1° Find the mass of the flywheel required to keep the speed between 297 and 303 r.p.m., if the radius of gyration is 0.525 m. [Ans. 417 kg]