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Code No: R05320304
R05
Set No. 2
III B.Tech II Semester Examinations,December-January, 2011-2012
DYNAMICS OF MACHINERY
Common to Mechanical Engineering, Mechatronics, Production
Engineering, Automobile Engineering
Time: 3 hours
Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
?????
1. A high speed has connecting rod length 5 times the crank which is 6 cm. It weighs
30 N has a center of gravity 10 cm from the big end bearing. When suspended in
bearing it makes 50 complete oscillations in 52 seconds. The reciprocating parts
weigh 15 N. Determine the torque exerted on the crank shaft due to the inertia of
the moving parts when the crank makes an angle of 135 degrees with the top dead
center when the speed of rotation is 1200 rpm.
[16]
2. (a) Derive an expression for angular acceleration of the connecting rod of a reciprocating engine.
(b) Two pairs of locomotive driving wheels run around a curve of mean radius of
450m at 25m/sec. The mass of each pair of wheels is 6700N and the diameter
is 150cms and the radius of gyration is 65cms. Find the gyroscopic couple and
state whether it tends to turn the locomotive about the inside or outside rails.
[4+12]
3. A shaft 40 mm diameter and 2.5 m long has a mass of 15 kg/m length. It is simply
supported at the ends and carries three masses 90 kg, 140 kg and 60 kg at 0.8 m,
1.5 m and 2 m respectively from the left support. Taking E = 20 GN/m2 . Find
the frequency of transverse vibrations.
[16]
4. In a porter governor each ball weighs 2kgf and central dead weight carried by the
sleeve is 20kgf. The links form an equal sided parallelogram in all positions and
each link is 25cms long. At what speed must the governor be driven so that the
balls revolve in a circle of 20cms radius?
[16]
5. (a) Draw all the possible friction axes of connecting rod of a reciprocating engine
mechanism.
(b) The lead screw of the lathe has acme threads of 50 mm outside diameter and 10
mm pitch. The included angle of thread is 29 degrees. It drives a tool carriage
and exerts a pressure of 2500N. A collar bearing with outside diameter 100mm
and inside diameter 50mm is provided to take up the thrust. If the lead screw
rotates at 30 r.p.m. find the efficiency and the power required to drive the
screw.The coefficient of friction for the screw threads is 0.15 and for the collar
is 0.12.
[6+10]
6. (a) Derive the expression for the torque transmitting capacity of a single plate
clutch by considering uniform wear.
1
Code No: R05320304
R05
Set No. 2
(b) A clutch has disk plates with outer radius 120mm. An axial force of 4KN is
acting on them. The disc plates are new and having coefficient of friction 0.7.
Assuming uniform pressure and uniform wear, find the torque transmitted.
i. When the disc plates are solid.
ii. When the disc plates are hallow outer radius 120mm and inner radius
60mm.
[6+10]
7. A shaft 3 m span between the bearings carries two masses of 5 kg and 10 kg acting
at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in
which the masses rotate are 1.2 m and 2.4 m respectively from the left hand bearing
and the angle between the arms is 600 . If the speed of rotation is 100 rpm. Find
the displacing force on the two bearings of the machine. If the masses are balanced
by two additional rotating masses acting at a radius 0.3 and placed 0.3 m from
each bearing, Estimate the magnitude of the two balanced masses and the angles
at which they may be set with respect to the two arms.
[16]
8. Each crank of a four cylinder vertical engine is 225mm.The reciprocating masses of
the first , second and the third cranks are 100kg,120kgand 100kgand the plane of
rotation are 600mm,300mm and 300mmfrom plane of rotation of the third crank .
Determine the mass of the reciprocating parts of the third cylinder and the relative
angular positions of the cranks if the engine is in complete primary balance. [16]
?????
2
Code No: R05320304
R05
Set No. 4
III B.Tech II Semester Examinations,December-January, 2011-2012
DYNAMICS OF MACHINERY
Common to Mechanical Engineering, Mechatronics, Production
Engineering, Automobile Engineering
Time: 3 hours
Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
?????
1. (a) Derive the expression for the torque transmitting capacity of a single plate
clutch by considering uniform wear.
(b) A clutch has disk plates with outer radius 120mm. An axial force of 4KN is
acting on them. The disc plates are new and having coefficient of friction 0.7.
Assuming uniform pressure and uniform wear, find the torque transmitted.
i. When the disc plates are solid.
ii. When the disc plates are hallow outer radius 120mm and inner radius
60mm.
[6+10]
2. A shaft 3 m span between the bearings carries two masses of 5 kg and 10 kg acting
at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in
which the masses rotate are 1.2 m and 2.4 m respectively from the left hand bearing
and the angle between the arms is 600 . If the speed of rotation is 100 rpm. Find
the displacing force on the two bearings of the machine. If the masses are balanced
by two additional rotating masses acting at a radius 0.3 and placed 0.3 m from
each bearing, Estimate the magnitude of the two balanced masses and the angles
at which they may be set with respect to the two arms.
[16]
3. A shaft 40 mm diameter and 2.5 m long has a mass of 15 kg/m length. It is simply
supported at the ends and carries three masses 90 kg, 140 kg and 60 kg at 0.8 m,
1.5 m and 2 m respectively from the left support. Taking E = 20 GN/m2 . Find
the frequency of transverse vibrations.
[16]
4. Each crank of a four cylinder vertical engine is 225mm.The reciprocating masses of
the first , second and the third cranks are 100kg,120kgand 100kgand the plane of
rotation are 600mm,300mm and 300mmfrom plane of rotation of the third crank .
Determine the mass of the reciprocating parts of the third cylinder and the relative
angular positions of the cranks if the engine is in complete primary balance. [16]
5. A high speed has connecting rod length 5 times the crank which is 6 cm. It weighs
30 N has a center of gravity 10 cm from the big end bearing. When suspended in
bearing it makes 50 complete oscillations in 52 seconds. The reciprocating parts
weigh 15 N. Determine the torque exerted on the crank shaft due to the inertia of
the moving parts when the crank makes an angle of 135 degrees with the top dead
center when the speed of rotation is 1200 rpm.
[16]
6. In a porter governor each ball weighs 2kgf and central dead weight carried by the
sleeve is 20kgf. The links form an equal sided parallelogram in all positions and
3
Code No: R05320304
R05
Set No. 4
each link is 25cms long. At what speed must the governor be driven so that the
balls revolve in a circle of 20cms radius?
[16]
7. (a) Derive an expression for angular acceleration of the connecting rod of a reciprocating engine.
(b) Two pairs of locomotive driving wheels run around a curve of mean radius of
450m at 25m/sec. The mass of each pair of wheels is 6700N and the diameter
is 150cms and the radius of gyration is 65cms. Find the gyroscopic couple and
state whether it tends to turn the locomotive about the inside or outside rails.
[4+12]
8. (a) Draw all the possible friction axes of connecting rod of a reciprocating engine
mechanism.
(b) The lead screw of the lathe has acme threads of 50 mm outside diameter and 10
mm pitch. The included angle of thread is 29 degrees. It drives a tool carriage
and exerts a pressure of 2500N. A collar bearing with outside diameter 100mm
and inside diameter 50mm is provided to take up the thrust. If the lead screw
rotates at 30 r.p.m. find the efficiency and the power required to drive the
screw.The coefficient of friction for the screw threads is 0.15 and for the collar
is 0.12.
[6+10]
?????
4
Code No: R05320304
R05
Set No. 1
III B.Tech II Semester Examinations,December-January, 2011-2012
DYNAMICS OF MACHINERY
Common to Mechanical Engineering, Mechatronics, Production
Engineering, Automobile Engineering
Time: 3 hours
Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
?????
1. (a) Derive the expression for the torque transmitting capacity of a single plate
clutch by considering uniform wear.
(b) A clutch has disk plates with outer radius 120mm. An axial force of 4KN is
acting on them. The disc plates are new and having coefficient of friction 0.7.
Assuming uniform pressure and uniform wear, find the torque transmitted.
i. When the disc plates are solid.
ii. When the disc plates are hallow outer radius 120mm and inner radius
60mm.
[6+10]
2. A shaft 40 mm diameter and 2.5 m long has a mass of 15 kg/m length. It is simply
supported at the ends and carries three masses 90 kg, 140 kg and 60 kg at 0.8 m,
1.5 m and 2 m respectively from the left support. Taking E = 20 GN/m2 . Find
the frequency of transverse vibrations.
[16]
3. Each crank of a four cylinder vertical engine is 225mm.The reciprocating masses of
the first , second and the third cranks are 100kg,120kgand 100kgand the plane of
rotation are 600mm,300mm and 300mmfrom plane of rotation of the third crank .
Determine the mass of the reciprocating parts of the third cylinder and the relative
angular positions of the cranks if the engine is in complete primary balance. [16]
4. A high speed has connecting rod length 5 times the crank which is 6 cm. It weighs
30 N has a center of gravity 10 cm from the big end bearing. When suspended in
bearing it makes 50 complete oscillations in 52 seconds. The reciprocating parts
weigh 15 N. Determine the torque exerted on the crank shaft due to the inertia of
the moving parts when the crank makes an angle of 135 degrees with the top dead
center when the speed of rotation is 1200 rpm.
[16]
5. (a) Draw all the possible friction axes of connecting rod of a reciprocating engine
mechanism.
(b) The lead screw of the lathe has acme threads of 50 mm outside diameter and 10
mm pitch. The included angle of thread is 29 degrees. It drives a tool carriage
and exerts a pressure of 2500N. A collar bearing with outside diameter 100mm
and inside diameter 50mm is provided to take up the thrust. If the lead screw
rotates at 30 r.p.m. find the efficiency and the power required to drive the
screw.The coefficient of friction for the screw threads is 0.15 and for the collar
is 0.12.
[6+10]
5
Code No: R05320304
R05
Set No. 1
6. A shaft 3 m span between the bearings carries two masses of 5 kg and 10 kg acting
at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in
which the masses rotate are 1.2 m and 2.4 m respectively from the left hand bearing
and the angle between the arms is 600 . If the speed of rotation is 100 rpm. Find
the displacing force on the two bearings of the machine. If the masses are balanced
by two additional rotating masses acting at a radius 0.3 and placed 0.3 m from
each bearing, Estimate the magnitude of the two balanced masses and the angles
at which they may be set with respect to the two arms.
[16]
7. In a porter governor each ball weighs 2kgf and central dead weight carried by the
sleeve is 20kgf. The links form an equal sided parallelogram in all positions and
each link is 25cms long. At what speed must the governor be driven so that the
balls revolve in a circle of 20cms radius?
[16]
8. (a) Derive an expression for angular acceleration of the connecting rod of a reciprocating engine.
(b) Two pairs of locomotive driving wheels run around a curve of mean radius of
450m at 25m/sec. The mass of each pair of wheels is 6700N and the diameter
is 150cms and the radius of gyration is 65cms. Find the gyroscopic couple and
state whether it tends to turn the locomotive about the inside or outside rails.
[4+12]
?????
6
Code No: R05320304
R05
Set No. 3
III B.Tech II Semester Examinations,December-January, 2011-2012
DYNAMICS OF MACHINERY
Common to Mechanical Engineering, Mechatronics, Production
Engineering, Automobile Engineering
Time: 3 hours
Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
?????
1. (a) Derive an expression for angular acceleration of the connecting rod of a reciprocating engine.
(b) Two pairs of locomotive driving wheels run around a curve of mean radius of
450m at 25m/sec. The mass of each pair of wheels is 6700N and the diameter
is 150cms and the radius of gyration is 65cms. Find the gyroscopic couple and
state whether it tends to turn the locomotive about the inside or outside rails.
[4+12]
2. (a) Draw all the possible friction axes of connecting rod of a reciprocating engine
mechanism.
(b) The lead screw of the lathe has acme threads of 50 mm outside diameter and 10
mm pitch. The included angle of thread is 29 degrees. It drives a tool carriage
and exerts a pressure of 2500N. A collar bearing with outside diameter 100mm
and inside diameter 50mm is provided to take up the thrust. If the lead screw
rotates at 30 r.p.m. find the efficiency and the power required to drive the
screw.The coefficient of friction for the screw threads is 0.15 and for the collar
is 0.12.
[6+10]
3. In a porter governor each ball weighs 2kgf and central dead weight carried by the
sleeve is 20kgf. The links form an equal sided parallelogram in all positions and
each link is 25cms long. At what speed must the governor be driven so that the
balls revolve in a circle of 20cms radius?
[16]
4. (a) Derive the expression for the torque transmitting capacity of a single plate
clutch by considering uniform wear.
(b) A clutch has disk plates with outer radius 120mm. An axial force of 4KN is
acting on them. The disc plates are new and having coefficient of friction 0.7.
Assuming uniform pressure and uniform wear, find the torque transmitted.
i. When the disc plates are solid.
ii. When the disc plates are hallow outer radius 120mm and inner radius
60mm.
[6+10]
5. A high speed has connecting rod length 5 times the crank which is 6 cm. It weighs
30 N has a center of gravity 10 cm from the big end bearing. When suspended in
bearing it makes 50 complete oscillations in 52 seconds. The reciprocating parts
weigh 15 N. Determine the torque exerted on the crank shaft due to the inertia of
7
Code No: R05320304
R05
Set No. 3
the moving parts when the crank makes an angle of 135 degrees with the top dead
center when the speed of rotation is 1200 rpm.
[16]
6. A shaft 40 mm diameter and 2.5 m long has a mass of 15 kg/m length. It is simply
supported at the ends and carries three masses 90 kg, 140 kg and 60 kg at 0.8 m,
1.5 m and 2 m respectively from the left support. Taking E = 20 GN/m2 . Find
the frequency of transverse vibrations.
[16]
7. A shaft 3 m span between the bearings carries two masses of 5 kg and 10 kg acting
at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in
which the masses rotate are 1.2 m and 2.4 m respectively from the left hand bearing
and the angle between the arms is 600 . If the speed of rotation is 100 rpm. Find
the displacing force on the two bearings of the machine. If the masses are balanced
by two additional rotating masses acting at a radius 0.3 and placed 0.3 m from
each bearing, Estimate the magnitude of the two balanced masses and the angles
at which they may be set with respect to the two arms.
[16]
8. Each crank of a four cylinder vertical engine is 225mm.The reciprocating masses of
the first , second and the third cranks are 100kg,120kgand 100kgand the plane of
rotation are 600mm,300mm and 300mmfrom plane of rotation of the third crank .
Determine the mass of the reciprocating parts of the third cylinder and the relative
angular positions of the cranks if the engine is in complete primary balance. [16]
?????
8