ME 6401 Kinematics of Machinery, Second year, Department of Mechanical Sandwich, Model Exam Questions

Answer All questions
PART A – (10×2=20 marks)
1.      Differentiate between a machine and a structure.
2.      Define transmission angle of a four-bar mechanism. What is the worst value of transmission angle.

3.      Define rubbing velocity at a pin joint. What will be the rubbing velocity at pin joint when the two links move in the same and opposite directions?
4.      State the condition for a link to experience coriolis acceleration or for what kind of relation motion the coriolis component of acceleration occurs.
5.      What is the classification of cam based on contact surfaces?
6.      What are the different types of motion with which a follower can move?
7.      Define: a) Normal pitch and b) axial pitch relation to helical gears.
8.      State the law of gearing.
9.      Briefly write about reverted gear train with suitable sketch.
10.  What is the minimum force required to slide a body on a rough horizontal plane.
PART B– (5×13=65 marks)
11.  a ) i. Explain Whitworth Quick-Return mechanism. (7)
 ii. Explain Crank and slotted lever Quick-Return motion mechanism(8)
or
            b) Explain Inversion of single slider-crank chain.(13)
            12. a) In a four – link mechanism, the crank AB rotates at 36 rad/s. The lengths of links are AB = 200 mm , BC = 400 mm , CD = 450 mm and AD = 600mm. AD is the fixed link. At the instant when AB is at right angle to AD, Determine the velocity of  i) The mid-point of link BC. ii) A point on link CD,100mm from the points connecting the link CD and AD.(13)
Or
            b) Ina slider-crank mechanism, the crank is 480mm long and rotates at 20rad/s in the counter clock wise direction. The length of the connection rod is 1600mm. When the crank runs 60o from the inner – dead center, determine.
                        i) The velocity of the slider.
                        ii) The velocity of a point E located at a distance 450mm on the connection rod   
                               extended.
                        iii) The position and velocity of a point F on the connection rod having least absolute
                                   velocity.
                        iv) The angular velocity of the connecting rod.
                        v)  The velocity of rubbing at the pins of the crank shaft, crank and the cross-head having diameter 80,60 and 100mm respectively.            (13)
13. A cam is to be designed for a knife-edge follower with the following data:
            i) Follower lift is 40mm with SHM, during 90o of cam rotation.
            ii) Dwell for the next 300.
            iii) Follower return to its original position with SHM, during the next 600 of cam rotation.
            iv) Dwell for the remaining cam rotation.
        The line of  stroke of the follower passes through the axis of the camshaft. Radius of the base circle of the cam is 40mm.
(i)                 Draw the displacement diagram
(ii)               Draw the profile of the cam
(iii)             Determine the maximum velocioty and acceleration of the follower during forward and return strokes, if the cam rotates at 200 rpm in clockwise direction.(13)
(or)
(b) A cam rotating clockwise at a uniform speed of 100rpm is required to give motion to knife- edge follower as below
            (a) Follower to move outward through 25mm during 1200 of cam rotation.
            (b) Follower to dwell for the next 600 of the cam rotation.
            (c) Follower to return to its starting position during next 900 of cam rotation.
            (d) Follower to dwell for the remaining 900 of cam rotation.
            The minimum radius of cam is 50mm. Draw the profile of the cam when the line of Stroke of the follower passes through the  axis of the camshaft. If the displacement of the follower takes place with uniform and equal acceleration and retardation on both the outward and return strokes find the maximum velocity and acceleration during its outstroke and return stroke.
            Also draw the displacement velocity and acceleration diagram for one complete revolution of the cam.(13)
14. a) With the help of a neatly draw sketch of a spur gear, explain elaboratery the nomenclature of gears.
(or)

(or)
b) Two mating involute spur gear of 200 pressure angle have a gear ratio of 2. The number of teeth on pinion is 20 and its speed is 250 revolutions per minute. The module pitch of  the teeth is 12mm.
            If the addendum of each wheel is such that the path of approach and path of recess on each side are half the maximum possible length find: i) addendum for pinion and gear wheel ii) the length of arc of contact , and iii) the maximum velocity of sliding during approach and recess. Assume pinion to be driver.                         (13)
15. a) A single dry plate clutch transmits 7.5Kw at 900rpm. The axial pressure is limited to 0.07 N/mm2. If the coefficient of friction is 0.25, find i) mean radius and face width of the friction lining assuming the ratio of the mean radius to the face width as 4 and ii) outer and inner radii of the clutch plate.                                            (13)
OR
 b) An open belt drive connected two pulleys of 1.2 m and 0.5 m diameters and parallel shafts 4m apart the maximum tension in the belt is 1800m th coffiecit of friction is 0.3. the driven pulley of dia 1.2m runs at 250rpm. Calculate i) the length of the belt required ii) the power transmitted iii) the torque on each of the two shafts.                  (13)
16. A cam rotating clockwise with a uniform speed is to given the roller follower of 20mm diameter with the following motion
i) follower to move outward through a distance of 30mm during 1200 of cam rotation
ii) follower to dwell for 600 of cam rotation
iii) follower to return to its during 900 of cam rotation
iv) follower to dwell for the remaining 90of cam rotation.
The maximum radius of the cam is 45mm and the displacement of the follower to takes place with simple harmonic motion and both the outward and return stroke. Draw the cam profile when

i)                    The line of stroke of the follower passes through the axis of the cam shaft.     (13)