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Code No: 07A42104 Set No. 1
II B.Tech II Semester Regular Examinations, Apr/May 2009
MECHANISMS AND MECHANICAL DESIGN
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
⋆ ⋆ ⋆ ⋆ ⋆
1. (a) What are the uses of pantograph? Explain.
(b) Draw one form of pantograph and show that it satisfies the required conditions.
[6+10]
2. In an offset slider-crank linkage, shown in figure 2 link 4 is driven at a constant speed
of 10 m/s to the left at the position shown. Determine the angular acceleration of
links 2 and 3 and the instantaneous acceleration of point D. [16]
Figure 2
3. An engine crankshaft derive a reciprocating pump through a mechanism shown in
figure3. The crank rotates in the clockwise direction at 160 rpm. The diameter of
the pump piston at F is 200 mm. Determine, for the position of the mechanism
shown, the velocity of the cross-head E and the torque required at the shaft O
to overcome a pressure of 300 kN/m2 at the pump piston at F. Neglect losses.
Dimensions of the various links are as follows : OA = 170 mm ; CD = 170 mm;
AB = 660 mm; DE = 830 mm ; BC = 510. (Use instant centre method). [16]
1 of 3
Code No: 07A42104 Set No. 1
Figure 3
4. A racing car weighs 20 kN. It has a wheel base of 2m, track width 1m and height
of C.G. 300mm above the ground level and lies midway between the front and rear
axle. The engine flywheel rotates at 3000 rpm clockwise when viewed from the front.
The moment of inertial of the flywheel is 4kg-m2 and moment of inertial of each
wheel is 3kg 2. Fine the reactions between the wheels and the ground when the car
takes a curve of 15 m radius towards right at 30 km/hr, taking into consideration
the gyroscopic and the centrifugal effects. Each wheel radius is 400mm. [16]
5. It is required to set out the profile of a earn to give the following motion to recip-
rocate the follower with a flat face.
(a) Follower to have a stroke of 30m.m. during the 1200
rotation of the earn.
(b) Follower to dwell for 300
rotation of the earn.
(c) Follower to return to initial position during the1200
of the earn rotation.
(d) Follower to dwell for the remaining 900
rotation of the earn.
The minimum radius of the earn is 25m.m. The motion of the follower is S.H.M.
[16]
6. Explain tangent cam with roller follower. [16]
7. A bumper consists of helical steel springs of a square section. It brigs to rest a rail
way wagon of mass 1500 kg, and moving at a speed of 1.5 m/s .In doing so, the
springs are compressed by 200 mm. The diameter of a coil is 6 times the side of
square section. Design the spring, if the permissible shear stress is 350 MPa, and
G = 0.8 × 105
MPa. [16]
2 of 3
Code No: 07A42104 Set No. 1
8. (a) What type of gears are used for parallel, intersecting and skew shafts? Explain.
(b) Give a detailed classification of gears. [8+8]
⋆ ⋆ ⋆ ⋆ ⋆
3 of 3
Code No: 07A42104 Set No. 2
II B.Tech II Semester Regular Examinations, Apr/May 2009
MECHANISMS AND MECHANICAL DESIGN
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
⋆ ⋆ ⋆ ⋆ ⋆
1. Draw sketches of the following mechanisms and state on which kinematic chain
each is based:
(a) Rapson’s slide
(b) Pendulum pump
(c) Oscillating cylinder
(d) Oldham shaft coupling. [16]
2. (a) What is Coriolis component of acceleration.
(b) Find out the velocity of slider D and angular velocity of CD in the mechanism
shown in figure 2 AA0 = B0B = 2cm, A0B0 = 4cm. [4+12]
Figure 2
3. In a mechanism as shown in figure 3 the various dimensions are: OC = 125 mm;
CB = 500 mm BA = 125 mm ; AD = 250 mm and DE = 125 mm. The slider P
translates along an axis which is 25 mm vertically below point O. The crank OC
rotates uniformly at 120 r.p.m. in the anti-clockwise direction. The bell crank lever
ADE rocks about fixed centre D. Determine velocity of point E by using instant
centre method. [16]
1 of 2
Code No: 07A42104 Set No. 2
Figure 3
4. Each road wheel of a motor cycle has a mass moment of inertial of 1.5 kg-m2
. The
rotation parts of the engine of the motorcycle have a mass moment of inertial of
0.25 kg-m2. The speed of the engine is 5 times the speed of the wheels and is in
the same sense. The mass of the motor cycle is traveling at 50 kmlh and its center
of gravity is 0.6 m above the ground level. Find the angle of heel if the cycle with
its rider is 250 kg and is taking a turn of m radius. The wheel diameter is 0.6m.
[16]
5. Draw the displacement, velocity and acceleration diagrams for a follower when it
moves with uniform velocity. Also draw the modified displacement, velocity and
acceleration diagrams. Why the modification in these diagrams are done? [16]
6. The following data relate to a symmetrical circular cam operating a flat - faced
follower:
Minimum radius of the cam 44mm, Lift 26 mm, Angle of lift 800
Nose radius 8mm, Speed of the cam 400 rpm
Determine the main dimensions of the cam and the acceleration of the follower at
the follower at the beginning of the lift,the end contact with the circular flank, the
beginning of contact with the nose and at the apex of the nose. [16]
7. What are the types in machine design process? [16]
8. (a) What type of gears are used for parallel, intersecting and skew shafts? Explain.
(b) Give a detailed classification of gears. [8+8]
⋆ ⋆ ⋆ ⋆ ⋆
2 of 2
Code No: 07A42104 Set No. 3
II B.Tech II Semester Regular Examinations, Apr/May 2009
MECHANISMS AND MECHANICAL DESIGN
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
⋆ ⋆ ⋆ ⋆ ⋆
1. (a) Explain in completely constrained, completely constrained and successfully
constrained motions with example.
(b) How the mechanism of higher pair replaced by the mechanism of lower pair?
[8+8]
2. The driving crank AB of the quick-return mechanism shown in the figure 2 revolve
at a uniform speed of 200 r.p.m. Find the velocity and acceleration of the tool box
R, in the position shown, when the crank makes an angle of 600
with the vertical
line of centres PA. What is the acceleration of sliding of the block at B along the
slotted lever PQ ? [16]
Figure 2
3. (a) Define fixed centrode and moving centrode. Explain with suitable example.
(b) The figure 3b shows powell Engine Mechanism which is formed by combining
slide crank mechanism and four-bar linkage. Determine the velocity of pistion
D and the angular velocity of CD. Use instant centre method. [6+10]
1 of 3
Code No: 07A42104 Set No. 3
Figure 3b
4. A horizontal steam engine running at 240 rpm has a bore of 300 mm and stroke
600 mm. the connecting rod is 1.05m long and the mass of reciprocating parts is
60 kg. When the crank is 600
past its inner dead center, the steam pressure on
the cover side of the piston is 1.125 n/mm2
while that on the crank side is 0.125
N/mm2
. Neglecting the area of the piston rod, determine:
(a) the force in the piston rod; and
(b) the turning moment on the crankshaft. [16]
5. (a) How are the cams classified? Describe in detail.
(b) Discuss various types of cams. [8+8]
6. Tangent cam with a base circle diameter of 60mm operates a roller follower of
25mmin diameter. The line of stroke of the roller passes through the axis of the
cam. The angle between the tangential faces of the cam is 650
, speed of the cam
shaft and the lift of follower 18mm, calculate,
(a) The main dimensions of cam
(b) The acceleration of the follower at
(c) The beginning of the lift
(d) Where the roller just touches the nose
(e) The apex of the circular nose. [16]
7. Design a hollow shaft of diameter ratio 2/3 to transmit 370 KW at 250 rpm. If the
allowable shear stress is 4500 N/cm2
and the max. torgue is 30% greater than the
mean.
If the hollow shaft is to be replaced by solid shaft of the same material, what should
be the diameter of the solid shaft. [16]
2 of 3
Code No: 07A42104 Set No. 3
8. (a) Explain the terms addendum and dedendum. What is clearance?
(b) Sketch two teeth of a gear and show the following: face, flank, top land,
bottom land, addendum, dedendum, tooth thickness, space width, face width
and circular pitch. [8+8]
⋆ ⋆ ⋆ ⋆ ⋆
3 of 3
Code No: 07A42104 Set No. 4
II B.Tech II Semester Regular Examinations, Apr/May 2009
MECHANISMS AND MECHANICAL DESIGN
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
⋆ ⋆ ⋆ ⋆ ⋆
1. Sketch exact straight line motion mechanisms and prove that the tracing point of
each mechanism describes an exact straight line path. [16]
2. A wheel 3 Figure 2 is pinned to link 2 at A and rotates clockwise with angular
velocity ω3 and anti-clockwise angular acceleration α3, while link 2 is rotating
counter-clockwise with positive values of angular velocity and acceleration. In figure
B is a point on link 2 while P is a point on link 3 (coincident at the particular instant
of time). Find the acceleration of P. [16]
Figure 2
3. In the mechanism shown in figure3 O and Q are fixed centres. If the crank OC
revolves at a uniform speed of 120 r.p.m. find the angular velocities of the links
CP, PA and AQ. Use instant centre method. [16]
1 of 3
Code No: 07A42104 Set No. 4
Figure 3
4. Each road wheel of a motor cycle has a mass moment of inertial of 1.5 kg-m2
. The
rotation parts of the engine of the motorcycle have a mass moment of inertial of
0.25 kg-m2. The speed of the engine is 5 times the speed of the wheels and is in
the same sense. The mass of the motor cycle is traveling at 50 kmlh and its center
of gravity is 0.6 m above the ground level. Find the angle of heel if the cycle with
its rider is 250 kg and is taking a turn of m radius. The wheel diameter is 0.6m.
[16]
5. Deduce expressions for the velocity and acceleration of the follower when it moves
with simple Harmonic motion. [16]
6. The following data is related to a symmetrical circular arc cam operating a flat-
faced follower:
Least radius of the cam = 32 mm ; total lift = 21 mm ; angle of lift = 800
, nose
radius = 6 mm ; speed of cam = 350 r.p.m. Find:
(a) Distance between cam centre and nose centre;
(b) Radius of circular flank; and
(c) Angle of contact on the circular flank. [16]
7. A spring loaded safety valve for a boiler is required to blow - off at a pressure of
1.5 N/mm2
. The diameter valve is 60mm. Design a suitable compression spring
for the safety valve assuming spring index to be 6, and 25mm initial compression.
The maximum lift of the valve is 15mm. The shear stress in the spring material is
to be limited to 450 MPa. Take G=0.84 × 105
MPa. [16]
8. A simple gear train consists of three gears, each mounted on a separate shaft. The
shafts are parallel. The gear 1 meshes with gear 2 whereas gear 2 meshes with gear
3. The gear 1 is the driver rotating clockwise at 1000 r.p.m. and gear 3 is follower.
The number of teeth on gears 1,2 and 3 are 20, 30 and 50 respectively. Find
(a) Speed ratio of the gear train
(b) Speed of follower and
2 of 3
Code No: 07A42104 Set No. 4
(c) Direction of rotation of follower. [16]
⋆ ⋆ ⋆ ⋆ ⋆
3 of 3

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MMD Question Paper

  • 1. Code No: 07A42104 Set No. 1 II B.Tech II Semester Regular Examinations, Apr/May 2009 MECHANISMS AND MECHANICAL DESIGN (Aeronautical Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆ ⋆ ⋆ ⋆ ⋆ 1. (a) What are the uses of pantograph? Explain. (b) Draw one form of pantograph and show that it satisfies the required conditions. [6+10] 2. In an offset slider-crank linkage, shown in figure 2 link 4 is driven at a constant speed of 10 m/s to the left at the position shown. Determine the angular acceleration of links 2 and 3 and the instantaneous acceleration of point D. [16] Figure 2 3. An engine crankshaft derive a reciprocating pump through a mechanism shown in figure3. The crank rotates in the clockwise direction at 160 rpm. The diameter of the pump piston at F is 200 mm. Determine, for the position of the mechanism shown, the velocity of the cross-head E and the torque required at the shaft O to overcome a pressure of 300 kN/m2 at the pump piston at F. Neglect losses. Dimensions of the various links are as follows : OA = 170 mm ; CD = 170 mm; AB = 660 mm; DE = 830 mm ; BC = 510. (Use instant centre method). [16] 1 of 3
  • 2. Code No: 07A42104 Set No. 1 Figure 3 4. A racing car weighs 20 kN. It has a wheel base of 2m, track width 1m and height of C.G. 300mm above the ground level and lies midway between the front and rear axle. The engine flywheel rotates at 3000 rpm clockwise when viewed from the front. The moment of inertial of the flywheel is 4kg-m2 and moment of inertial of each wheel is 3kg 2. Fine the reactions between the wheels and the ground when the car takes a curve of 15 m radius towards right at 30 km/hr, taking into consideration the gyroscopic and the centrifugal effects. Each wheel radius is 400mm. [16] 5. It is required to set out the profile of a earn to give the following motion to recip- rocate the follower with a flat face. (a) Follower to have a stroke of 30m.m. during the 1200 rotation of the earn. (b) Follower to dwell for 300 rotation of the earn. (c) Follower to return to initial position during the1200 of the earn rotation. (d) Follower to dwell for the remaining 900 rotation of the earn. The minimum radius of the earn is 25m.m. The motion of the follower is S.H.M. [16] 6. Explain tangent cam with roller follower. [16] 7. A bumper consists of helical steel springs of a square section. It brigs to rest a rail way wagon of mass 1500 kg, and moving at a speed of 1.5 m/s .In doing so, the springs are compressed by 200 mm. The diameter of a coil is 6 times the side of square section. Design the spring, if the permissible shear stress is 350 MPa, and G = 0.8 × 105 MPa. [16] 2 of 3
  • 3. Code No: 07A42104 Set No. 1 8. (a) What type of gears are used for parallel, intersecting and skew shafts? Explain. (b) Give a detailed classification of gears. [8+8] ⋆ ⋆ ⋆ ⋆ ⋆ 3 of 3
  • 4. Code No: 07A42104 Set No. 2 II B.Tech II Semester Regular Examinations, Apr/May 2009 MECHANISMS AND MECHANICAL DESIGN (Aeronautical Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆ ⋆ ⋆ ⋆ ⋆ 1. Draw sketches of the following mechanisms and state on which kinematic chain each is based: (a) Rapson’s slide (b) Pendulum pump (c) Oscillating cylinder (d) Oldham shaft coupling. [16] 2. (a) What is Coriolis component of acceleration. (b) Find out the velocity of slider D and angular velocity of CD in the mechanism shown in figure 2 AA0 = B0B = 2cm, A0B0 = 4cm. [4+12] Figure 2 3. In a mechanism as shown in figure 3 the various dimensions are: OC = 125 mm; CB = 500 mm BA = 125 mm ; AD = 250 mm and DE = 125 mm. The slider P translates along an axis which is 25 mm vertically below point O. The crank OC rotates uniformly at 120 r.p.m. in the anti-clockwise direction. The bell crank lever ADE rocks about fixed centre D. Determine velocity of point E by using instant centre method. [16] 1 of 2
  • 5. Code No: 07A42104 Set No. 2 Figure 3 4. Each road wheel of a motor cycle has a mass moment of inertial of 1.5 kg-m2 . The rotation parts of the engine of the motorcycle have a mass moment of inertial of 0.25 kg-m2. The speed of the engine is 5 times the speed of the wheels and is in the same sense. The mass of the motor cycle is traveling at 50 kmlh and its center of gravity is 0.6 m above the ground level. Find the angle of heel if the cycle with its rider is 250 kg and is taking a turn of m radius. The wheel diameter is 0.6m. [16] 5. Draw the displacement, velocity and acceleration diagrams for a follower when it moves with uniform velocity. Also draw the modified displacement, velocity and acceleration diagrams. Why the modification in these diagrams are done? [16] 6. The following data relate to a symmetrical circular cam operating a flat - faced follower: Minimum radius of the cam 44mm, Lift 26 mm, Angle of lift 800 Nose radius 8mm, Speed of the cam 400 rpm Determine the main dimensions of the cam and the acceleration of the follower at the follower at the beginning of the lift,the end contact with the circular flank, the beginning of contact with the nose and at the apex of the nose. [16] 7. What are the types in machine design process? [16] 8. (a) What type of gears are used for parallel, intersecting and skew shafts? Explain. (b) Give a detailed classification of gears. [8+8] ⋆ ⋆ ⋆ ⋆ ⋆ 2 of 2
  • 6. Code No: 07A42104 Set No. 3 II B.Tech II Semester Regular Examinations, Apr/May 2009 MECHANISMS AND MECHANICAL DESIGN (Aeronautical Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆ ⋆ ⋆ ⋆ ⋆ 1. (a) Explain in completely constrained, completely constrained and successfully constrained motions with example. (b) How the mechanism of higher pair replaced by the mechanism of lower pair? [8+8] 2. The driving crank AB of the quick-return mechanism shown in the figure 2 revolve at a uniform speed of 200 r.p.m. Find the velocity and acceleration of the tool box R, in the position shown, when the crank makes an angle of 600 with the vertical line of centres PA. What is the acceleration of sliding of the block at B along the slotted lever PQ ? [16] Figure 2 3. (a) Define fixed centrode and moving centrode. Explain with suitable example. (b) The figure 3b shows powell Engine Mechanism which is formed by combining slide crank mechanism and four-bar linkage. Determine the velocity of pistion D and the angular velocity of CD. Use instant centre method. [6+10] 1 of 3
  • 7. Code No: 07A42104 Set No. 3 Figure 3b 4. A horizontal steam engine running at 240 rpm has a bore of 300 mm and stroke 600 mm. the connecting rod is 1.05m long and the mass of reciprocating parts is 60 kg. When the crank is 600 past its inner dead center, the steam pressure on the cover side of the piston is 1.125 n/mm2 while that on the crank side is 0.125 N/mm2 . Neglecting the area of the piston rod, determine: (a) the force in the piston rod; and (b) the turning moment on the crankshaft. [16] 5. (a) How are the cams classified? Describe in detail. (b) Discuss various types of cams. [8+8] 6. Tangent cam with a base circle diameter of 60mm operates a roller follower of 25mmin diameter. The line of stroke of the roller passes through the axis of the cam. The angle between the tangential faces of the cam is 650 , speed of the cam shaft and the lift of follower 18mm, calculate, (a) The main dimensions of cam (b) The acceleration of the follower at (c) The beginning of the lift (d) Where the roller just touches the nose (e) The apex of the circular nose. [16] 7. Design a hollow shaft of diameter ratio 2/3 to transmit 370 KW at 250 rpm. If the allowable shear stress is 4500 N/cm2 and the max. torgue is 30% greater than the mean. If the hollow shaft is to be replaced by solid shaft of the same material, what should be the diameter of the solid shaft. [16] 2 of 3
  • 8. Code No: 07A42104 Set No. 3 8. (a) Explain the terms addendum and dedendum. What is clearance? (b) Sketch two teeth of a gear and show the following: face, flank, top land, bottom land, addendum, dedendum, tooth thickness, space width, face width and circular pitch. [8+8] ⋆ ⋆ ⋆ ⋆ ⋆ 3 of 3
  • 9. Code No: 07A42104 Set No. 4 II B.Tech II Semester Regular Examinations, Apr/May 2009 MECHANISMS AND MECHANICAL DESIGN (Aeronautical Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆ ⋆ ⋆ ⋆ ⋆ 1. Sketch exact straight line motion mechanisms and prove that the tracing point of each mechanism describes an exact straight line path. [16] 2. A wheel 3 Figure 2 is pinned to link 2 at A and rotates clockwise with angular velocity ω3 and anti-clockwise angular acceleration α3, while link 2 is rotating counter-clockwise with positive values of angular velocity and acceleration. In figure B is a point on link 2 while P is a point on link 3 (coincident at the particular instant of time). Find the acceleration of P. [16] Figure 2 3. In the mechanism shown in figure3 O and Q are fixed centres. If the crank OC revolves at a uniform speed of 120 r.p.m. find the angular velocities of the links CP, PA and AQ. Use instant centre method. [16] 1 of 3
  • 10. Code No: 07A42104 Set No. 4 Figure 3 4. Each road wheel of a motor cycle has a mass moment of inertial of 1.5 kg-m2 . The rotation parts of the engine of the motorcycle have a mass moment of inertial of 0.25 kg-m2. The speed of the engine is 5 times the speed of the wheels and is in the same sense. The mass of the motor cycle is traveling at 50 kmlh and its center of gravity is 0.6 m above the ground level. Find the angle of heel if the cycle with its rider is 250 kg and is taking a turn of m radius. The wheel diameter is 0.6m. [16] 5. Deduce expressions for the velocity and acceleration of the follower when it moves with simple Harmonic motion. [16] 6. The following data is related to a symmetrical circular arc cam operating a flat- faced follower: Least radius of the cam = 32 mm ; total lift = 21 mm ; angle of lift = 800 , nose radius = 6 mm ; speed of cam = 350 r.p.m. Find: (a) Distance between cam centre and nose centre; (b) Radius of circular flank; and (c) Angle of contact on the circular flank. [16] 7. A spring loaded safety valve for a boiler is required to blow - off at a pressure of 1.5 N/mm2 . The diameter valve is 60mm. Design a suitable compression spring for the safety valve assuming spring index to be 6, and 25mm initial compression. The maximum lift of the valve is 15mm. The shear stress in the spring material is to be limited to 450 MPa. Take G=0.84 × 105 MPa. [16] 8. A simple gear train consists of three gears, each mounted on a separate shaft. The shafts are parallel. The gear 1 meshes with gear 2 whereas gear 2 meshes with gear 3. The gear 1 is the driver rotating clockwise at 1000 r.p.m. and gear 3 is follower. The number of teeth on gears 1,2 and 3 are 20, 30 and 50 respectively. Find (a) Speed ratio of the gear train (b) Speed of follower and 2 of 3
  • 11. Code No: 07A42104 Set No. 4 (c) Direction of rotation of follower. [16] ⋆ ⋆ ⋆ ⋆ ⋆ 3 of 3