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Posted By: Sri Member Level: Gold Posted Date: 15 Dec 2007
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2006 Jawaharlal Nehru Technological University B.Tech Automobile Engineering III/Sem1 Regular Nov'06 Set 3,Kinematics of Machinery Question paper
Code No: RR312403 Set No.3
III B.Tech. I Semester Regular Examinations, November -2006
KINEMATICS OF MACHINERY
(Automobile Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
1. (a) Differentiate between lower kinematic pair and higher kinematic pair giving
examples.
(b) In a crank and sloted lever quick return mechanism, the distance between the
fixed centers is 150mm. and driven crank is 75mm. long. Determine the ratio
of the time taken on the cutting and return stroke. [6+10]
2. (a) Derive an expression for minimum number of teeth in involute rack and pinion
arrangement. How are these related to pressure angle.
(b) Two gears of module pitch 4.25mm have 24 and 33 respectively. Each wheel
has a standard addendum of 1 module. Determine the length of the arc of
contact and maximum velocity of the sliding between the mating teeth, if the
smaller wheel runs at 150r.p.m. The pressure angle is 200. [6+10]
3. In an epi-cyclic gear shown in figure 5, the wheel 'C' is keyed to the shaft B and
the wheel E is keyed to the shaft A. C and E rotate together on a pin fixed to the
arm G. C has 35 teeth. D has 65 teeth. E has 32 teeth and F has 68teeth. If A
rotates at 60rpm and B rotates at 28rpm in the opposite direction to A find the
speed and direction of arm G. [16]
4. (a) Derive an equation to find the length of the belt of cross-belt drive.
(b) A shaft running at 160 r.p.m is to drive another shaft at 250 r.p.m and transmit
21 KW. The belt is 12cm. wide and 4mm. thick. The coefficient of friction
between the belt and pulley is 0.3. The distance between the shafts is 3meters.
The smaller pulley is 60cms. diameter. Determine the stress in the belt
assuming it to be open belt drive. [6+10]
5. Draw the cam profile for the data given below.
Base circle of cam = 50mm. Lift = 40mm,
Angle of ascent=600, Angle of dwell=400
Angle of descent = 900, Speed = 300rpm
Motion of follower = SHM,
Type of follower = knife edge.
Also find the velocity and acceleration during ascent. [8+4+4]
6. (a) Sketch & explain peaucellier straight line mechanism and give exact mathematical analysis involved.
(b) State precisely what an automobile steering mechanism is expected to do?
[8+8]
Figure 5:
7. The driving shaft of a Hooke's Joint runs at a speed of 300rpm. the angle between
the shaft is 200. The driven shaft with attached masses has a mass of 60kg at a
radius of gyration of 200mm. If a steady torque of 500 N.m resists the rotation
of driven shaft, find the torque required at the driving shaft when angle turned
through by the driving shaft is 450. [16]
8. The mechanism of a vertical slotting machine is shown in ¯gure6. The crank AP
rotates at 60 r.p.m and the block 'O' slides along the link OR giving non-uniform
motion about O. The slider 'D' is connected to OR at B by link BD and moves
vertically in guides. Determine
(a) Linear acceleration of slider D
(b) Angular acceleration of link BD.
(c) Sliding acceleration of P with respect to Q. [5+5+6]
Figure 6:
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