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Anna University Chennai
Department of B.E Mechanical Engineering
Fourth Semester
ME6401 Kinematics of Machinery
November / December 2015 Exam Important Questions
(Regulation 2013)
Important Questions
Anna University, Chennai
Department of B.E. Mechanical Engineering
B.E / B.TECH DEGREE EXAMINATION Nov / Dec 2015
FOURTH SEMESTER
ME6401 Kinematics of Machinery
(REGULATION 2013)
1. Explain first inversion of Double Slider crank chain.
2. With the help of a neat sketch explain the working of Oldham’s coupling.
3. With the help of a neat sketch explain the working of Whitworth quick return mechanism
4. With the help of a neat sketch explain the working of Single slider and double slider crank chain
mechanism.
5. The Crank of a slider crank mechanisms rotates clockwise at a Constant speed of 600 r.p.m. The
crank is 125 mm and connecting rod is 500 mm long. Determine 1. Linear velocity and acceleration
of the mid Point of the connecting rod, and 2. Angular velocity and angular acceleration of the
connecting rod, at a crank angle of 45° from inner dead centre position.
6. The dimensions of the various links of a mechanism, as shown in fig. are as follows: OA=300
mm;AB=1200; BC=450 mm and CD=450 mm. if the crank oA rotates at 20 r.p.m. in the anticlockwise direction and gives motion to the sliding blocks B and D, find, for given configuration: (1) Velocity of sliding at B and D, (2) Angular velocity of CD {3) Linear acceleration of D and (4) angular acceleration of CD.
7. Locate all instantaneous centers of the slider crank mechanism; the length of crank 08 and Connecting rod AB are 125 mm and 500 mm respectively. The crank speed is 600 rpm clockwise.
When the crank has turned 45° from the IDC. Determine (i) velocity of slider A (ii) Angular Velocity
of connecting rod ’AB’.
8. The crank and connecting rod of a theoretical steam engine are 0.5 m and 2m long respectively. The crank makes 180 rpm in the clockwise direction. When it has turned 450 from the inner dead centre position, determine : a) Velocity of piston b) Angular velocity of connecting rod. C) Velocity of point E on the connecting rod 1.5m from the gudgeon pin. D) velocity of rubbing at the pins of the crank shaft, crank and crank cross head when the diameters of their pins are 5o mm and 6o mm and 3o mm respectively.
9. A cam is to give the following motion to a knife edged follower: (a) Outstroke during 60° of cam
rotation (b) Dwell for the next 45° of cam rotation (c) Return stroke during next 90 deg of cam rotation and (d) Dwell for the remaining of cam rotation The stroke of the follower is 40 mm and the
minimum radius of the cam is 50 mm. The follower moves with uniform velocity during both the
outstroke and return strokes. Draw the profile of the cam when (a) the axis of the follower passes
through the axis of the cam shaft, and (b) the axis of the follower is offset by 20 mm from the axis of
the cam shaft.
10. A cam, with a minimum radius of 50 mm, rotating clockwise at a uniform speed, is required to giver a knife-edged follower the motion as described below: (a) To move outwards through 40 mm during 100° rotation of the cam; (b) to dwell for next 80° (c) To return to its starting position during next 90 and (d) To dwell for the rest period of revolution. Draw the profile oft he cam (i) When the line of stroke of the follower passes through the centre of the cam shaft and (ii) When the line of stroke of the follower is to take place with Uniform acceleration and uniform retardation. Determine the maximum velocity and acceleration of the follower when the cam shaft rotates at 900 r.p.m. (16)
11. A tangent cam to drive a roller follower through a total lift of 12.5 mm for a cam rotation of 75°.The cam speed is 600 rpm . The distance between cam centre and follower centre at full lift is 45 mm and the roller is 20 mm in diameter. Find the cam proportions and plot displacement, velocity and acceleration for one full cycle.
12. Design a cam to raise a valve with simple harmonic motion through 15mm is 1/3rd of a revolution, keep it fully raised through 1/12th of a revolution and to lower it with SHM in 1/6th of a revolution. The valve remain closed during the rest of the revolution. The diameter of the roller is 20 mm and the minimum radius of the cam is 25 mm. The axis of the valve rod passes through the axis of the cam shaft. If the cam shaft rotates at uniform speed of 100 rpm; find the maximum velocity and acceleration of the valve during raising and lowering. Also draw the profile of the cam.
13. a) Two mating spur gear with module pitch of 6.5 mm have 19 ad 47 teeth of 20° pressure angle and 6.5 mm addendum. Determine the number of pair of teeth and angle turned through by the larger
wheel for one pair of teeth in contact. Determine also the sliding velocity at the instant (i)
engagement commences (ii) engagement terminates. When the pitch line velocity is 1.2 m/s. (8)
b) The number of teeth on each of the two spur gears in mesh is 40. The teeth have 20 deg involute
profile and the module is 6mm. If the arc of contact is 1.75 times the circular pitch. Find the addendum. (8)
14. In an epicyclic gear train the internal wheels A and B and compound wheels C and D rotate
independently about axis 0. The wheels E and F rotate on pins fixed to the arm G. E gears with A and
C . Wheel F gear with B and D. All the wheels have the same module and the number of teeth are: TC =28 TD=26; TE = TF=18. (1) Sketch the arrangement, (2) Find the number of teeth on A and B, (3) lf the arm G makes 100 rpm clockwise and A is fixed, find the speed of B , and (4) if the arm G makes 100 rpm clockwise and wheel A makes 10 rpm counter clockwise; Find the speed of wheel B.
15. Two gear wheels mesh externally and are to give a velocity ratio of 3 to 1. The teeth are of involute form; module=6 mm, addendum=one module, pressure angle: 20°. The pinion rotates at 90 rpm. Determine (1) the number of teeth on the pinion to avoid interference on it and the corresponding number of teeth on the wheel, (2) The length of path and arc of contact, (3) the number of pairs of teeth in contact.
16. The sun planet gear of an epicyclic gear train, the annular D has 100 internal teeth, the sun gear A
has 50 external teeth and planet gear B has 25 external teeth. The gear B meshes with gear D and
gear A. The gear B is carried on arm E, which rotates about the centre of annular gear D. If the gear D is fixed and arm rotates at 20 rpm, then find the speeds of gear A and B.
17. The mean diameter of the screw jack having pitch of 10 mm is 50 mm. A load of 20 KN is lifted
through a distance of 170 mm. Find the work done in lifting the load and ficiency of the screw jack
when (i) the load rotates with the screw, and (ii) the load rests n the loose head which does not
rotate with screw. The external and internal diameter of the bearing surface of the loose head is 60
mm and 1omm respectively. The coefficient of friction for the screw as well as the bearing surface
may be taken as 0.08. {16)
18. Two shaft whose centers are 1m apart are connected by a V belt drive. The driving pulley is supplied with 100 KW and has an effective diameter of 300 mm. It runs at 375 rpm. The angle of groove on the pulley is 400 The permissible tension in 400 mm^2 cross sectional area of the belt is 2.1 MPa. The density of the belt is 1100 kg/ mm^3 coefficient of friction is 0.28. Estimate number of belts required. (16)
19. A conical pivot bearing supports a vertical shaft of 2oo mm diameter. It is subjected to a load of
3o KN. The angle of cone is 1200 and the coefficient of friction is 0.025. Find the power lost in
friction when the speed is 140 rpm assuming i) Uniform pressure and ii) Uniform wear.
20. a) Derive an expression for braking torque on the drum of simple band brake.
b) Deduce the expression for the friction moment of a collar thrust bearing, stating clearly the
assumption made
Anna University Chennai
Department of B.E Mechanical Engineering
Fourth Semester
ME6401 Kinematics of Machinery
November / December 2015 Exam Important Questions
(Regulation 2013)
Important Questions
Anna University, Chennai
Department of B.E. Mechanical Engineering
B.E / B.TECH DEGREE EXAMINATION Nov / Dec 2015
FOURTH SEMESTER
ME6401 Kinematics of Machinery
(REGULATION 2013)
1. Explain first inversion of Double Slider crank chain.
2. With the help of a neat sketch explain the working of Oldham’s coupling.
3. With the help of a neat sketch explain the working of Whitworth quick return mechanism
4. With the help of a neat sketch explain the working of Single slider and double slider crank chain
mechanism.
5. The Crank of a slider crank mechanisms rotates clockwise at a Constant speed of 600 r.p.m. The
crank is 125 mm and connecting rod is 500 mm long. Determine 1. Linear velocity and acceleration
of the mid Point of the connecting rod, and 2. Angular velocity and angular acceleration of the
connecting rod, at a crank angle of 45° from inner dead centre position.
6. The dimensions of the various links of a mechanism, as shown in fig. are as follows: OA=300
mm;AB=1200; BC=450 mm and CD=450 mm. if the crank oA rotates at 20 r.p.m. in the anticlockwise direction and gives motion to the sliding blocks B and D, find, for given configuration: (1) Velocity of sliding at B and D, (2) Angular velocity of CD {3) Linear acceleration of D and (4) angular acceleration of CD.
7. Locate all instantaneous centers of the slider crank mechanism; the length of crank 08 and Connecting rod AB are 125 mm and 500 mm respectively. The crank speed is 600 rpm clockwise.
When the crank has turned 45° from the IDC. Determine (i) velocity of slider A (ii) Angular Velocity
of connecting rod ’AB’.
8. The crank and connecting rod of a theoretical steam engine are 0.5 m and 2m long respectively. The crank makes 180 rpm in the clockwise direction. When it has turned 450 from the inner dead centre position, determine : a) Velocity of piston b) Angular velocity of connecting rod. C) Velocity of point E on the connecting rod 1.5m from the gudgeon pin. D) velocity of rubbing at the pins of the crank shaft, crank and crank cross head when the diameters of their pins are 5o mm and 6o mm and 3o mm respectively.
9. A cam is to give the following motion to a knife edged follower: (a) Outstroke during 60° of cam
rotation (b) Dwell for the next 45° of cam rotation (c) Return stroke during next 90 deg of cam rotation and (d) Dwell for the remaining of cam rotation The stroke of the follower is 40 mm and the
minimum radius of the cam is 50 mm. The follower moves with uniform velocity during both the
outstroke and return strokes. Draw the profile of the cam when (a) the axis of the follower passes
through the axis of the cam shaft, and (b) the axis of the follower is offset by 20 mm from the axis of
the cam shaft.
10. A cam, with a minimum radius of 50 mm, rotating clockwise at a uniform speed, is required to giver a knife-edged follower the motion as described below: (a) To move outwards through 40 mm during 100° rotation of the cam; (b) to dwell for next 80° (c) To return to its starting position during next 90 and (d) To dwell for the rest period of revolution. Draw the profile oft he cam (i) When the line of stroke of the follower passes through the centre of the cam shaft and (ii) When the line of stroke of the follower is to take place with Uniform acceleration and uniform retardation. Determine the maximum velocity and acceleration of the follower when the cam shaft rotates at 900 r.p.m. (16)
11. A tangent cam to drive a roller follower through a total lift of 12.5 mm for a cam rotation of 75°.The cam speed is 600 rpm . The distance between cam centre and follower centre at full lift is 45 mm and the roller is 20 mm in diameter. Find the cam proportions and plot displacement, velocity and acceleration for one full cycle.
12. Design a cam to raise a valve with simple harmonic motion through 15mm is 1/3rd of a revolution, keep it fully raised through 1/12th of a revolution and to lower it with SHM in 1/6th of a revolution. The valve remain closed during the rest of the revolution. The diameter of the roller is 20 mm and the minimum radius of the cam is 25 mm. The axis of the valve rod passes through the axis of the cam shaft. If the cam shaft rotates at uniform speed of 100 rpm; find the maximum velocity and acceleration of the valve during raising and lowering. Also draw the profile of the cam.
13. a) Two mating spur gear with module pitch of 6.5 mm have 19 ad 47 teeth of 20° pressure angle and 6.5 mm addendum. Determine the number of pair of teeth and angle turned through by the larger
wheel for one pair of teeth in contact. Determine also the sliding velocity at the instant (i)
engagement commences (ii) engagement terminates. When the pitch line velocity is 1.2 m/s. (8)
b) The number of teeth on each of the two spur gears in mesh is 40. The teeth have 20 deg involute
profile and the module is 6mm. If the arc of contact is 1.75 times the circular pitch. Find the addendum. (8)
14. In an epicyclic gear train the internal wheels A and B and compound wheels C and D rotate
independently about axis 0. The wheels E and F rotate on pins fixed to the arm G. E gears with A and
C . Wheel F gear with B and D. All the wheels have the same module and the number of teeth are: TC =28 TD=26; TE = TF=18. (1) Sketch the arrangement, (2) Find the number of teeth on A and B, (3) lf the arm G makes 100 rpm clockwise and A is fixed, find the speed of B , and (4) if the arm G makes 100 rpm clockwise and wheel A makes 10 rpm counter clockwise; Find the speed of wheel B.
15. Two gear wheels mesh externally and are to give a velocity ratio of 3 to 1. The teeth are of involute form; module=6 mm, addendum=one module, pressure angle: 20°. The pinion rotates at 90 rpm. Determine (1) the number of teeth on the pinion to avoid interference on it and the corresponding number of teeth on the wheel, (2) The length of path and arc of contact, (3) the number of pairs of teeth in contact.
16. The sun planet gear of an epicyclic gear train, the annular D has 100 internal teeth, the sun gear A
has 50 external teeth and planet gear B has 25 external teeth. The gear B meshes with gear D and
gear A. The gear B is carried on arm E, which rotates about the centre of annular gear D. If the gear D is fixed and arm rotates at 20 rpm, then find the speeds of gear A and B.
17. The mean diameter of the screw jack having pitch of 10 mm is 50 mm. A load of 20 KN is lifted
through a distance of 170 mm. Find the work done in lifting the load and ficiency of the screw jack
when (i) the load rotates with the screw, and (ii) the load rests n the loose head which does not
rotate with screw. The external and internal diameter of the bearing surface of the loose head is 60
mm and 1omm respectively. The coefficient of friction for the screw as well as the bearing surface
may be taken as 0.08. {16)
18. Two shaft whose centers are 1m apart are connected by a V belt drive. The driving pulley is supplied with 100 KW and has an effective diameter of 300 mm. It runs at 375 rpm. The angle of groove on the pulley is 400 The permissible tension in 400 mm^2 cross sectional area of the belt is 2.1 MPa. The density of the belt is 1100 kg/ mm^3 coefficient of friction is 0.28. Estimate number of belts required. (16)
19. A conical pivot bearing supports a vertical shaft of 2oo mm diameter. It is subjected to a load of
3o KN. The angle of cone is 1200 and the coefficient of friction is 0.025. Find the power lost in
friction when the speed is 140 rpm assuming i) Uniform pressure and ii) Uniform wear.
20. a) Derive an expression for braking torque on the drum of simple band brake.
b) Deduce the expression for the friction moment of a collar thrust bearing, stating clearly the
assumption made
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