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• Cam
Summary of previous lecture
Today’s lecture
• Construction of Cam profile
Types of follower motion
1. Uniform motion ( constant velocity)
2. Simple harmonic motion
3. Uniform acceleration and retardation motion
4. Cycloidal motion
a) Uniform motion (constant velocity)
 Displacement diagram: Displacement is the distance that
a follower moves during one complete revolution (or
cycle) of the cam while the follower is in contact with the
cam.
 It is the plot of linear displacement (s) of follower V/S
angular displacement (θ) of the cam for one full rotation
of the cam.
 A period is a part of the cam cycle and it includes the
following:
Rise (Outstroke) – the upward motion of the follower caused
by cam motion.
Fall (Return stroke) – the downward motion of the follower
caused by cam motion.
Dwell – the stationary position of the follower caused by
cam motion.
a) Uniform motion (constant
velocity)
a) Uniform motion (constant velocity)
Displacement diagram
Since the follower moves with uniform velocity during
its rise and fall, the slope of the displacement curve
must be constant as shown in fig
a) Uniform motion (constant velocity)
b) Simple Harmonic motion
360 = ONE REVOLUTION OF CAM= 1 CYCLE
FALL
60 180120 240
RISE
300
b) Simple harmonic motion
Since the follower
moves with a
simple harmonic
motion, therefore
velocity diagram
consists of a sine
curve and the
acceleration
diagram consists of
a cosine curve.
b) Simple harmonic motion
Maximum velocity of the follower on the outstroke
Maximum acceleration of the follower on the
outstroke
Return stroke:
c) Uniform acceleration and retardation
Since the
acceleration
and
retardation
are uniform,
therefore the
velocity varies
directly with
time.
c) Uniform acceleration and retardation
Maximum velocity of follower during outstroke
Maximum velocity of the follower during
return stroke
Maximum acceleration of the follower during
outstroke
Maximum acceleration of the follower during
return stroke
d) Cycloidal motionMaximum velocity of follower during outstroke
Maximum velocity of the follower during
return stroke
Maximum acceleration of the follower during
outstroke
Maximum acceleration of the follower during
return stroke
CAM Profile
12
3
4
5
6
a
b
c
d
e
f
7
g
60°
45°8
9
10
11 12
h
i
j
k
l
90°
50
CAM Profile
Set square, compass, protractor, pencil etc.
Example 20.1. A cam is to give the following motion to a knife-edged
follower :
1. Outstroke during 60° of cam rotation ;
2. Dwell for the next 30° of cam rotation ;
3. Return stroke during next 60° of cam rotation, and
4. Dwell for the remaining 210° 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.
Next lecture
• Belt, Rope and Chain
Contact details:
Rohit Kumar Singla
Email ID: rohit.kumar@thapar.edu

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Construction of Cam

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  • 2. • Cam Summary of previous lecture
  • 4. Types of follower motion 1. Uniform motion ( constant velocity) 2. Simple harmonic motion 3. Uniform acceleration and retardation motion 4. Cycloidal motion
  • 5. a) Uniform motion (constant velocity)  Displacement diagram: Displacement is the distance that a follower moves during one complete revolution (or cycle) of the cam while the follower is in contact with the cam.  It is the plot of linear displacement (s) of follower V/S angular displacement (θ) of the cam for one full rotation of the cam.  A period is a part of the cam cycle and it includes the following: Rise (Outstroke) – the upward motion of the follower caused by cam motion. Fall (Return stroke) – the downward motion of the follower caused by cam motion. Dwell – the stationary position of the follower caused by cam motion.
  • 6. a) Uniform motion (constant velocity)
  • 7. a) Uniform motion (constant velocity) Displacement diagram Since the follower moves with uniform velocity during its rise and fall, the slope of the displacement curve must be constant as shown in fig
  • 8. a) Uniform motion (constant velocity)
  • 9. b) Simple Harmonic motion 360 = ONE REVOLUTION OF CAM= 1 CYCLE FALL 60 180120 240 RISE 300
  • 10. b) Simple harmonic motion Since the follower moves with a simple harmonic motion, therefore velocity diagram consists of a sine curve and the acceleration diagram consists of a cosine curve.
  • 11. b) Simple harmonic motion Maximum velocity of the follower on the outstroke Maximum acceleration of the follower on the outstroke Return stroke:
  • 12. c) Uniform acceleration and retardation Since the acceleration and retardation are uniform, therefore the velocity varies directly with time.
  • 13. c) Uniform acceleration and retardation Maximum velocity of follower during outstroke Maximum velocity of the follower during return stroke Maximum acceleration of the follower during outstroke Maximum acceleration of the follower during return stroke
  • 14. d) Cycloidal motionMaximum velocity of follower during outstroke Maximum velocity of the follower during return stroke Maximum acceleration of the follower during outstroke Maximum acceleration of the follower during return stroke
  • 17. Set square, compass, protractor, pencil etc.
  • 18. Example 20.1. A cam is to give the following motion to a knife-edged follower : 1. Outstroke during 60° of cam rotation ; 2. Dwell for the next 30° of cam rotation ; 3. Return stroke during next 60° of cam rotation, and 4. Dwell for the remaining 210° 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.
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  • 34. Next lecture • Belt, Rope and Chain
  • 35. Contact details: Rohit Kumar Singla Email ID: rohit.kumar@thapar.edu