Jawaharlal Nehru Technological University Hyderabad
Jawaharlal Nehru Technological University Hyderabad B. Tech III DYNAMICS OF MACHINERY Previous Question Paper (August/September - 2024 - R16)
Note: i) Question paper consists of Part A, Part B.
ii) Part A is compulsory, which carries 25 marks. In Part A, Answer all questions.
iii) In Part B, Answer any one question from each unit. Each question carries 10 marks and may have a, b as sub questions.
Part A
(25 Marks)
Define axis of precession.
Answer
The axis of precession is the axis about which the axis of spin of a rotating body rotates. In the context of a gyroscope, it is the axis perpendicular to both the axis of spin and the axis of the applied gyroscopic couple.
What is the principle of gyroscope?
Answer
The principle of a gyroscope is based on the conservation of angular momentum. When a body is spinning about an axis and an external torque is applied to change the direction of that axis, the body exhibits gyroscopic precession. This phenomenon causes the axis of rotation to move in a direction perpendicular to the applied torque, maintaining its orientation in space unless acted upon by an external force.
Define fluctuation of energy.
Answer
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Sketch Turning moment diagram for four stroke cycle internal combustion engine.
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What is angle of repose?
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Differentiate brakes and dynamometers.
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Define isochronism.
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What is the effect of swaying couple?
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What is three rotor systems in a vibrating body?
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What is the impact of critical speed on the vibrating systems?
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Part B
(50 Marks)
What are the effects of gyroscopic couple on an airplane.
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The rotor of the turbine of a ship makes 1500 rpm clockwise when viewed from stern. The rotor has a mass of 800 kg and its radius of gyration is 300 mm. Find the maximum gyro-couple transmitted to the hull when the ship pitches with maximum angular velocity of 1 rad/s. What is the effect of this couple?
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A four-link mechanism with the following dimensions is acted upon by a force 80N at an angle 1500 on the link DC as shown in figure 1. Given AD = 500 mm, AB = 400 mm, BC= 1000 mm, DC = 750mm, DE = 350mm Determine the input torque T on the link AB for the static equilibrium of the mechanism for the given configuration.
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A petrol engine 100 mm in diameter and 120 mm stroke has a connecting rod 250 mm long. The piston has a mass of 1 kg and the speed is 1800 rpm. The gas pressure is 0.5 MPa at 30° from top dead centre during the explosion stroke. Find (a) the resultant load in the gudgeon pin, (b) the thrust on the cylinder walls, (c) the speed above which the gudgeon pin load will be reversed, and (d) the crank effort at this position.
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The turning moment diagram for a multi-cylinder engine has been drawn to a scale 1 mm = 600 N-m vertically and 1 mm = 3° horizontally. The intercepted areas between the output torque curve and the mean resistance line, taken in order from one end, are as follows: + 52, – 124, + 92, – 140, + 85, – 72 and + 107 mm², when the engine is running at a speed of 600 r.p.m. If the total fluctuation of speed is not to exceed ± 1.5% of the mean, find the necessary mass of the flywheel of radius 0.5 m.
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What are the various factors considered while designing friction clutches.
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A multi-disc clutch has three discs on the driving shaft and two on the driven shaft. The outside diameter of the contact surfaces is 240 mm and inside diameter 120 mm. Assuming uniform wear and coefficient of friction as 0.3, find the maximum axial intensity of pressure between the discs for transmitting 25 kW at 1575 r.p.m.
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A double shoe brake, as shown in figure 2. Is capable of absorbing a torque of 1400 N-m. The diameter of the brake drum is 350 mm and the angle of contact for each shoe is 100°. If the coefficient of friction between the brake drum and lining is 0.4; find a) The spring force necessary to set the brake; and b) The width of the brake shoes, if the bearing pressure on the lining material is not to exceed 0.3N/mm².
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The following data relates to a single cylinder reciprocating engine: Mass of reciprocating engine – 40 kg, Mass of revolving parts - 30 kg at crank radius, speed- 150 rpm, stroke – 350 mm. If 60% of the reciprocating parts and all the revolving parts are to be balanced, determine the a) Balance mass required at a radius of 320 mm b) Unbalanced force when the crank has turned 45° from the top dead centre.
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A Proell governor has equal arms of length 300 mm. The upper and lower ends of the arms are pivoted on the axis of the governor. The extension arms of the lower links are each 80 mm long and parallel to the axis when the radii of rotation of the balls are 150 mm and 200 mm. The mass of each ball is 10 kg and the mass of the central load is 100 kg. Determine the range of speed of the governor.
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Discuss the equilibrium method for finding solution of free longitudinal vibrations.
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A spring-mass system consists of a spring of stiffness 350 N/m. The mass is 0.35 kg. The mass is displaced 20 mm beyond the equilibrium position and released. The damping coefficient is 14 N.s/m. Determine (i) critical damping coefficient, (ii) damped natural frequency, and (iii) logarithmic decrement.
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A steel shaft 1.5 m long is 95 mm in diameter for the first 0.6 m of its length, 60 mm in diameter for the next 0.5 m of the length and 50 mm in diameter for the remaining 0.4 m of its length. The shaft carries two flywheels at two ends, the first having a mass of 900 kg and 0.85 m radius of gyration located at the 95 mm diameter end and the second having a mass of 700 kg and 0.55 m radius of gyration located at the other end. Determine the location of the node and the natural frequency of free torsional vibration of the system. The modulus of rigidity of shaft material may be taken as 80 GN/m².
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