Anna University Chennai 2007-4th Sem B.E Mechanical Engineering ME 236 — DYNAMICS OF MACHINES - Question Paper

B.E. DEGREE exam.
Fourth Semester
Mechanical Engineering
ME 236 — DYNAMICS OF MACHINES
(Common to Mechatronics Engineering)
Time : 3 hours Maximum : 100 marks
ans ALL ques..
PART A — (10 ´ two = 20 marks)
1. describe Inertia force.
2. What is the function of the flywheel?
3. What is the firing order of 6 cylinder engine? Is this engine fully balanced?
4. describe Hammer blow with respect to locomotives.
5. State energy method of finding the formula of motion of a system.
6. State various kinds of damping a vibration system.
7. describe Magnification factor.
8. describe critical damping and state its application.
9. How governors are classified?
10. describe power of a governor.
PART B — (5 ´ 16 = 80 marks)
11. A gun barrel of mass 600 kg has a recoil spring of stiffness 294 kN/meter.
If the barrel recoils 1.3 m on firing determine (i) the initial recoil velocity of the barrel (ii) the critical damping co-efficient of the dash pot which is engaged at the end of the recoil stroke (iii) the formula of motion of the gun barrel if the time of recoil is of time period.
12. (a) The crank and connecting rod of a steam engine are 0.3 m and 1.5 m in length. The crank rotates at 180 rpm. clock wise. Determine the velocity and acceleration of the piston when the crank is at 40 degrees from the inner dead centre position. Also determine the position of the crank for zero acceleration of the piston. (16)
Or
(b) A single cylinder double acting steam engine develops 150 kW at a mean speed of 80 rpm. The co-efficient of fluctuation of energy is 0.1 and fluctuation of speed is 2% of the mean speed. If the diameter of the flywheel rim is two meter and the hub and spokes give 5% of the rotational inertia of the flywheel, obtain the mass and cross sectional area of the flywheel rim. presume density of flywheel as 7200 kg/m3. (16)
13. (a) 4 masses are attached to a shaft at planes A, B, C and D at equal radii. The distance of the planes B, C and D from A are 40 cm, 50 cm and 120 cm respectively. The masses at A, B and C are 60 kg, 45 kg and 70 kg respectively. If the system is in complete balance, determine the mass at D and position of masses B, C and D with respect to A. (16)
Or
(b) A 4 cylinder vertical engine has cranks 300 cm long. The planes of rotation of the first, 3rd and 4th cranks are 750 mm, 1050 mm and 1650 mm respectively from that of the 2nd crank and their reciprocating masses are 150 kg, 400 kg and 250 kg respectively. obtain the mass of the reciprocating parts for the 2nd cylinder and relative angular position of the cranks in order that the engine may be in complete primary balance. (16)
14. (a) (i) A torsional pendulum when immersed in oil shows its natural
frequency of 200 Hz. But when it was put to vibration in vacuum
having no damping, its natural frequency has observed as 250 Hz.
obtain the value of damping factor of the oil. (8)
(ii) A mass of one kg is attached to a spring having a stiffness of
3920 N/m. The mass slides on a horizontal surface, the co-efficient of friction ranging from mass and surface being 0.1. Determine the frequency of vibration of the system and amplitude after 1 cycle if the initial amplitude is 0.25 cm. (8)
Or
(b) A machine of mass 1000 kg is supported on springs which deflect eight mm under static load. With negligible damping the machine vibrates with an amplitude of five mm when subjected to a vertical harmonic force at
80 percent of the resonant frequency. When a damper is fitted it is obtained that the resonant amplitude is two mm. obtain (i) Amplitude of the damping force and (ii) damping co-efficient. (16)
15. (a) In a spring controlled governor the curve of a controlling force is a straight line. When the balls are 400 mm apart the controlling force is 1200 N and when 200 mm apart the controlling force is 450 N. At what speed will the governor run when the balls are 250 mm apart. What initial tension on the spring would be needed for isochronism and what would then be the speed. The mass of every ball is nine kg. (16)
Or
(b) obtain the angle of inclination with respect to vertical of a 2 wheeler negotiating a turn. Combined mass of the vehicle with its rider is 250 kg.
Moment of inertia of the engine flywheel — 0.3 kg m2
Moment of inertia of every road wheel — one kg m2
Speed of the flywheel is five times the speed of the road wheel and in the identical direction. Height of centre of gravity of the rider with vehicle is 0.6 m. Speed of the 2 wheeler is 90 KMPH. Wheel radius is 300 mm. Radius of turn is 50 meters. (16)
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Earning:   Approval pending.