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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