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Chapter 20 : Cams l 831
(i) when the contact is on straight flank, and
(ii) when the contact is on circular nose.
9. Derive the expressions for displacement, velocity and acceleration for a circular arc cam operating a
flat-faced follower
(i) when the contact is on the circular flank, and
(ii) when the contact is on circular nose.
OBJECTIVE TYPE QUESTIONS
OBJECTIVE TYPE QUESTIONS
OBJECTIVE TYPE QUESTIONS
OBJECTIVE TYPE QUESTIONS
OBJECTIVE TYPE QUESTIONS
1. The size of a cam depends upon
(a) base circle (b) pitch circle (c) prime circle (d) pitch curve
2. The angle between the direction of the follower motion and a normal to the pitch curve is called
(a) pitch angle (b) prime angle
(c) base angle (d) pressure angle
3. A circle drawn with centre as the cam centre and radius equal to the distance between the cam
centre and the point on the pitch curve at which the pressure angle is maximum, is called
(a) base circle (b) pitch circle
(c) prime circle (d) none of these
4. The cam follower generally used in automobile engines is
(a) knife edge follower (b) flat faced follower
(c) spherical faced follower (d) roller follower
5. The cam follower extensively used in air-craft engines is
(a) knife edge follower (b) flat faced follower
(c) spherical faced follower (d) roller follower
6. In a radial cam, the follower moves
(a) in a direction perpendicular to the cam axis
(b) in a direction parallel to the cam axis
(c) in any direction irrespective of the cam axis
(d) along the cam axis
7. A radial follower is one
(a) that reciprocates in the guides (b) that oscillates
(c) in which the follower translates along an axis passing through the cam centre of rotation.
(d) none of the above
8. Offet is provided to a cam follower mechanism to
(a) minimise the side thrust (b) accelerate
(c) avoid jerk (d) none of these
9. For low and moderate speed engines, the cam follower should move with
(a) uniform velocity (b) simple harmonic motion
(c) uniform acceleration and retardation (d) cycloidal motion
10. For high speed engines, the cam follower should move with
(a) uniform velocity (b) simple harmonic motion
(c) uniform acceleration and retardation (d) cycloidal motion
11. Which of the following displacement diagrams should be chosen for better dynamic performance of
a cam-follower mechanism ?
(a) simple hormonic motion (b) parabolic motion
(c) cycloidal motion (d) none of these
832 l Theory of Machines
12. For a given lift of the follower of a cam follower mechanism, a smaller base circle diameter is
desired.
(a) because it will give a steeper cam and higher pressure angle.
(b) because it will give a profile with lower pressure angle
(c) because it will avoid jumping
(d) none of the above.
13. The linear velocity of the reciprocating roller follower when it has contact with the straight flanks of
the tangent cam, is given by
(a) 1 2
( )sin
r r
ω − θ (b) 1 2
( )cos
r r
ω − θ
(c) 1 2
2
( )sin sec
r r
ω + θ θ (d) 1 2
2
( )cos cosec
r r
ω + θ θ
where ω = Angular velocity of the cam shaft,
r1 = Minimum radius of the cam,
r2 = Radius of the roller, and
θ = Angle turned by the cam from the beginning of the displacement for contact
of roller with the straight flanks.
14. The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is
given by
(a) (1 cos )
− θ
R (b) (1 sin )
− θ
R
(c) 1
( )(1 cos )
R r
− − θ (d) 1
( )(1 sin )
R r
− − θ
where R = Radius of the flank,
r1 = Minimum radius of the cam, and
θ = Angle turned by the cam for contact with the circular flank.
15. The retardation of a flat faced follower when it has contact at the apex of the nose of a circular arc
cam, is given by
(a) 2
ω × OQ (b) 2
sin
ω × θ
OQ
(c) 2
cos
ω × θ
OQ (d) 2
tan
ω × θ
OQ
where OQ = Distance between the centre of circular flank and centre of nose.
ANSWERS
ANSWERS
ANSWERS
ANSWERS
ANSWERS
1. (a) 2. (d) 3. (b) 4. (c) 5. (d)
6. (a) 7. (a) 8. (a) 9. (b) 10. (d)
11. (c) 12. (d) 13. (c) 14. (c) 15. (a)
GO To FIRST

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Cams

  • 1. Chapter 20 : Cams l 831 (i) when the contact is on straight flank, and (ii) when the contact is on circular nose. 9. Derive the expressions for displacement, velocity and acceleration for a circular arc cam operating a flat-faced follower (i) when the contact is on the circular flank, and (ii) when the contact is on circular nose. OBJECTIVE TYPE QUESTIONS OBJECTIVE TYPE QUESTIONS OBJECTIVE TYPE QUESTIONS OBJECTIVE TYPE QUESTIONS OBJECTIVE TYPE QUESTIONS 1. The size of a cam depends upon (a) base circle (b) pitch circle (c) prime circle (d) pitch curve 2. The angle between the direction of the follower motion and a normal to the pitch curve is called (a) pitch angle (b) prime angle (c) base angle (d) pressure angle 3. A circle drawn with centre as the cam centre and radius equal to the distance between the cam centre and the point on the pitch curve at which the pressure angle is maximum, is called (a) base circle (b) pitch circle (c) prime circle (d) none of these 4. The cam follower generally used in automobile engines is (a) knife edge follower (b) flat faced follower (c) spherical faced follower (d) roller follower 5. The cam follower extensively used in air-craft engines is (a) knife edge follower (b) flat faced follower (c) spherical faced follower (d) roller follower 6. In a radial cam, the follower moves (a) in a direction perpendicular to the cam axis (b) in a direction parallel to the cam axis (c) in any direction irrespective of the cam axis (d) along the cam axis 7. A radial follower is one (a) that reciprocates in the guides (b) that oscillates (c) in which the follower translates along an axis passing through the cam centre of rotation. (d) none of the above 8. Offet is provided to a cam follower mechanism to (a) minimise the side thrust (b) accelerate (c) avoid jerk (d) none of these 9. For low and moderate speed engines, the cam follower should move with (a) uniform velocity (b) simple harmonic motion (c) uniform acceleration and retardation (d) cycloidal motion 10. For high speed engines, the cam follower should move with (a) uniform velocity (b) simple harmonic motion (c) uniform acceleration and retardation (d) cycloidal motion 11. Which of the following displacement diagrams should be chosen for better dynamic performance of a cam-follower mechanism ? (a) simple hormonic motion (b) parabolic motion (c) cycloidal motion (d) none of these
  • 2. 832 l Theory of Machines 12. For a given lift of the follower of a cam follower mechanism, a smaller base circle diameter is desired. (a) because it will give a steeper cam and higher pressure angle. (b) because it will give a profile with lower pressure angle (c) because it will avoid jumping (d) none of the above. 13. The linear velocity of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by (a) 1 2 ( )sin r r ω − θ (b) 1 2 ( )cos r r ω − θ (c) 1 2 2 ( )sin sec r r ω + θ θ (d) 1 2 2 ( )cos cosec r r ω + θ θ where ω = Angular velocity of the cam shaft, r1 = Minimum radius of the cam, r2 = Radius of the roller, and θ = Angle turned by the cam from the beginning of the displacement for contact of roller with the straight flanks. 14. The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (a) (1 cos ) − θ R (b) (1 sin ) − θ R (c) 1 ( )(1 cos ) R r − − θ (d) 1 ( )(1 sin ) R r − − θ where R = Radius of the flank, r1 = Minimum radius of the cam, and θ = Angle turned by the cam for contact with the circular flank. 15. The retardation of a flat faced follower when it has contact at the apex of the nose of a circular arc cam, is given by (a) 2 ω × OQ (b) 2 sin ω × θ OQ (c) 2 cos ω × θ OQ (d) 2 tan ω × θ OQ where OQ = Distance between the centre of circular flank and centre of nose. ANSWERS ANSWERS ANSWERS ANSWERS ANSWERS 1. (a) 2. (d) 3. (b) 4. (c) 5. (d) 6. (a) 7. (a) 8. (a) 9. (b) 10. (d) 11. (c) 12. (d) 13. (c) 14. (c) 15. (a) GO To FIRST