Guru Gobind Singh Indraprastha Vishwavidyalaya 2007 B.E Mechanical Engineering KINEMATICS & DYNAMICS OF MACHINES - Question Paper
END TERM exam
FOURTH SEMESTER [B.TECH] – MAY-JUNE 2007
KINEMATICS & DYNAMICS OF MACHINES
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_____FOURTH SEMESTER [B. TECH.] MAY-JUNE 2007____
[paper Coc!e:ETME-202_Subject: Kinematics & Dynamics of Machine
Time : 3 Hours Maximum Marks :75
Note: Attempt five questions in all including Q.1. which is compulsory.
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(5x5=25)
Q1. (i)> Explain grubler equation.
(ii) Deduce expression'for frequency of free vibration.
(iii)/* Classify cams -:-
(iv) Explain the law of gearing
(v) Explain balancing of multi cylinder engines
Q2. In a quick return slotted.lever mechanism draw the velocity and acceleration diagram when the crank Is rotating, at' 10 rad/s with an angular acceleration of 3 rad/s for an instantaneous position of 45 vertical. (12.5)
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Q3, (Draw the displacemenUime, velocity time and acceleration time diagrams for a follower
tin order to satisfy following conditions. The stroke of the follower is 25mm. Outword
stroke takes place with simple harmonic motion during 90 of cam rotation, and the i
return stroke, also with simple harmonic motion during 75 of Cam rotation. The follower -is to dwell in the out position for 45 of Cam rotation and the cam turns with uniform speed of 800 rpm. ' (12.5)
Q4. A team of spur gears is required to give a total reduction of 250W in four steps. No *1"pinion is to have less than 2,0 teeth and the module is 2 for first step, 4 for the second 5 for the third and 6 for the fourth. The center distances must not involve recurring decimals. Find the numcjof teeth; the pitch circle diameters and the center distances for a suitable team of ge;;' (12.5)
Q5. A shaft carriers three rotating masses A, B and C of magnitude 10, 8 and 16 Kg with
their center of gravity 100mm, 125 mm and 50mm respectively from the axis of rotation.
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The distance between planes of rotation, of A&B is 1m and between B&C is 1.2m. The angular position of masses are B 60, C 135 from A in same direction. Find magnitudes & position of balance weights required in passes L & m situated mid way between A&B and planes B &C respectively. Assume radius of gyration of balance weights to be 150 mm. (12.5)
Q6. The rotor of a turbojet engine has a mass of 100 Kg and a radius of gyration of 15cm.
The engine rotates at 800 rpm in clockwise direction when viewed from front. The aeroplane turns with a radius of 1.5 Km to right. When moving at 900 Km/hr. Determine the gyroscopic couple the rotor exerts on plane structure. Derive the formula use. (12.5)
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