sri sairam college of engineering - vturesource · 2019. 10. 9. · 6 a. state and derive law of...
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Fourth Semester B.E. Degree Examination, May/June 2010Kinematics of Machines
Note: 1. Answer any FIVEfull questions,selecting at least TWO questions from each part.
2. Graphical solutions are to be drawn only in the answer book orin the graph sheets selecting suitable scale ifrequired.
PART-A
a. Defme with suitable examples:i) Higher pair ii) Kinematic chain
b. Explain with the help of neat sketches:i) Four bar mechanism ii) Parallel crank mechanism
Explain with the help of neat sketches:a. Whitworth quick return motion mechanismb. Roberts mechanism.c. Pantograph mechanism.
(08 Marks)(04 MarlG)(08 Marks)
For the configuration of a slider crank mechanism shown in the Fig. Q(3), find:i) The acceleration of slider at B,ii) The acceleration of point Eiii) The angular acceleration of link AB.The crank rotates at 20 rad/sec counter clock wise. (20 Marks)Given: OA = 480 mm ; AB = 1600 mm ;.AE = 450 mm.
£
6--~.~Fig. Q3
a. In a four bar mechanism, the crank AB is 300 mm long, BC = CD = 360 mm, and AD thefixed link is 600 mm long. The crank makes and angle of 60° with the fixed link, and itrotates uniformly at 100 rpm. Locate all the instantaneous centers and find the angularvelocity of link Be. (10 Marks)
b. A reciprocating engine mechanism has connecting rod 200 mm long and crank 50 mm long.By using KLEIN's construction, determine the velocity and acceleration of piston, andangular acceleration of connecting rod, when the crank has turned through 45° from IDCclockwise and is rotating at 240 rpm. (10 Marks)
PART-B5 The slider crank of a internal combustion engine mechanism includes a crank of 50 mm
length and the connecting rod of 200 mm length. The crank speed of the engine is constantat 300 rpm. Determine the acceleration of the mass centre of the connecting rod by usingcomplex number method, when the crank angle is 30°. The mass centre is located at 50 mmfrom the crank pin. (20 Marks)
10f2
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6 a. State and derive law of gearing. (08 Marks)b. Two 20° involute spur gears mesh externally and give a velocity ratio of 3. Module is 3 rom
and the addendum is equal to 1.1 module. If the pinion rotates at 120 rpm, determine :i) The minimum number of teeth on each wheel to avoid interferenceii) The number of pairs of teeth in contact. (12 Marks)
7 In an epicyclic gear train shown in Fig. Q7 the compound wheels A and B as well as internalwheels C and D rotate independently about the axis O. The wheels E and F rotate on the pinsfixed to the arm a. All the wheels are of the same module. The number of teeth on thewheels areTA = 52, TB = 56, TE = TF = 36.Determine the speed of C if :i) The wheel D is fixed and arm a rotates at 200 rpm clockwiseii) The wheel D rotates at 20 rpm counter clockwise and the arm a rotates at 200 rpm
clockwise. (20 Marks)
8 The following data relate to a cam profile in which the follower moves with UARM duringascent and descent.Minimum radius of the carn = 25 romRoller diameter = 8 romLift = 30 romOffset of follower axis = 10 rom towards rightAngle of ascent = 60°Angle of descent = 90°Angle of dwell between ascent and descent = 45°Speed of the cam = 200 rpmDraw the profile of the carn. (20 Marks)
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