MCQ on Theory of Machines
S. Mobility of a linkage 4. Planer 5. Shaper
(a) 3 (b)4 (c)2 (d) 1
(a)
144.3 (b) 216.5 (c) 240.0 (d)
250.0
1.
Match the items in columns I and II [GATE-2006]
Column I Column
II
P. Higher kinematic pair 1. Grubler's equation
Q. Lower kinematic pair 2. Line contact
R. Quick return mechanism
3 . Euler's equation
6. Surface contact
(a) P-2, Q-6,
R-4, S-3 (b) P-6, Q-2, R-4,
S-1
(c) P-6, Q-2,
R-5, S-3 (d) P-2, Q-6, R-5, S-1
2. The minimum number of links in a single degree-of-freedom planar
mechanism with both higher and lower kinematic pairs is [GATE-2002]
(a) 2 (b) 3 (c) 4 (d) 5
3. The number degrees of freedom of a planar linkage with 8 links and 9
simple revolute joints is [GATE-2005]
(a)1 (b) 2 (c) 3 (d)4
4. When a cylinder is located in a Vee-block,
then number of degrees of
freedom which are arrested is [GATE-2003]
(a) 2 (b) 4 (c) 7 (d) 8
5. The number of degrees of freedom of a five link plane mechanism with
five
revolute pairs as shown in the figure is [GATE-1993]
6. Match the following with respect to spatial mechanisms. [GATE-2004]
Type of Joint Degrees
of constraint
P. Revolute 1.
Three
Q. Cylindrical 2.
Five
R. Spherical 3.
Four
4.
Two
5.
Zero
(a) P-1 Q-3 R-3 (b) P-5 Q-4 R-3 (c)
P-2 Q-3 R-1 (d) P-4 Q-5 R-3
7. A planar mechanism has 8 links and 10 rotary joints. The number of
degrees of freedom of the mechanism, using Grubler's criterion, is [GATE-2008]
(a) 0 (b) 1 (c) 2 (d) 3
8. Match the approaches given below to perform stated kinematics/dynamics
analysis of machine. [GATE
-2009]
Analysis Approach
P. Continuous relative rotation 1.
D’Alembert’s principle
Q. Velocity and acceleration 2.
Grubler’s criterion
R. Mobility 3.
Grashoff’s law
S. Dynamic-static analysis 4. Kennedy’s theoram
(a) P-1, Q-2, R-3, S-4 (b) P-3, Q-4, R-2, S-1
(c) P-2, Q-3, R-4, S-1 (d)
P-4, Q-2, R-1, S-3
9. Which of the following statements is incorrect [GATE-2010]
(a)
Grashof's rule states that for a planar crank-rocker four bar mechanism, the
sum
of the shortest and longest link lengths cannot be less than the sum of the
remaining
two link lengths.
(b) Inversions
of a mechanism are created-by fixing different links one at a time.
(c) Geneva
mechanism is an intermittent motion device.
(d) Gruebler's
criterion assumes mobility of a planar mechanism to be one.
10. In a four-bar linkage, S denotes the shortest link length, L is the
longest
link length, P and Q are the lengths of other two links. At least one of
the
three moving links will rotate by 360o if
[GATE-2006]
(a)
S + L ≤ P + Q (b) S +
L > P + Q (c) S + P≤L + Q (d) S + P > L + Q
11. The number of inversions for a slider crank mechanism is [GATE-2006]
(a) 6 (b) 5 (c) 4 (d)
3
12. The mechanism used in a shaping machine is [GATE-2003]
(a) A closed
4-bar chain having 4 revolute pairs
(b) A closed
6-bar chain having 6 revolute pairs
(c) A closed
4-bar chain having 2 revolute and 2 sliding pairs
(d)
An inversion of the single slider-crank chain
13. A simple
quick return mechanism is shown in the figure. The forward to return ratio of
the quick return mechanism is 2:1. If the radius of the crank O1P is
125 mm, then the distance ‘d’ (in mm) between the crank centre to lever pivot
centre point should be
[GATE-2009]
14. Match the
following [GATE-2004]
Type of Mechanism Motion achieved
P. Scott - Russel mechanism 1.
Intermittent motion
Q. Geneva mechanism 2.
Quick return motion
R. Off-set slider-crank mechanism 3.
Simple harmonic motion
S. Scotch Yoke mechanism 4.
Straight line motion
(a) P-2 Q-3 R-1
S-4 (b) P-3 Q-2 R-4 S-1
(c)
P-4 Q-1 R-2 S-3 (d) P-4 Q-3 R-1 S-2
15. The lengths of the links of a 4-bar linkage with revolute pairs only
are p,q, r, and s units. iven that p < q < r < s. Which of these links
should be the fixed one, for obtaining a "double crank" mechanism? [GATE-2003]
(a) Link of
length p (b) link of length q
(c) Link of
length r (d) link of length s
16.There are two
points P and Q on a planar rigid body. The relative velocity between the two
points [GATE-2003]
(a) Should always
be along PQ
(b) Can be
oriented along any direction
(c)
Should always be perpendicular to PQ
(d) Should be
along QP when the body undergoes pure translation
17. Match List I with List II and select the correct answer [IES-2002]
List I (Kinematic pairs) List
II (Practical example)
A. Sliding pair 1.
A road roller rolling over the ground
B. Revolute pair 2.
Crank shaft in a journal bearing in an engine
C. Rolling pair 3.
Ball and socket joint
D. Spherical pair 4.
Piston and cylinder
5. Nut and screw
A B
C D A
B C D
(a) 5 2
4 3 (b) 4 3
1 2
(c) 5 3
4 2 (d) 4 2 1 3
18. A round bar
A passes through the cylindrical hole in B as shown in the given figure. Which
one of the following statements is correct in this regard? [IES-1995]
(a) The two
links shown from a kinematic pair.
(b) The pair is
completely constrained.
(c)
The pair has incomplete constraint.
(d) The pair is
successfully constrained.
19. Consider the
following statements [IES-2000]
1. A round bar
in a round hole form a turning pair
2. A square bar
in a square hole forms a sliding pair
3. A vertical
shaft in a footstep bearing forms a successful constraint.
Of these
statements
(a) 1 and 2 are
correct (b) 1 and 3 are correct
(c)
2 and 3 are correct (d)
1,2 and 3 are correct
20. Match List I with List II and select the
correct answer using the codes given below the lists: [IES-1999]
List I List II
A. 4 links 4
turning pairs 1.
Complete constraint
B. 3 links 3
turning pairs 2.
Successful constraint
C. 5 links 5
turning pairs 3.
Rigid frame
D. Footstep
bearing 4.
Incomplete constraint
A
B C D A
B C D
(a) 3 1
4 2 (b) 1 3
2 4
(c) 3 1
2 4 (d) 1 3 4 2
21. Consider the
following statements:
1. The degree of
freedom for lower kinematic pair is always equal to one.
2. A
ball-and-socket joint has 3 degrees of freedom and is a higher kinematic pair.
3. Oldham’s
coupling mechanism has two prismatic pairs and two revolute pairs.
Which of the
statements given above is/are correct?
(a)
1,2 and 4 (b) 1
and 3 (c)2,3 and 4
(d)1,2,3 and 4
22. Which of the following are examples of
forced closed kinematic pairs? [IES-2003]
1. Cam and
roller mechanism 2. Door closing
mechanism
3. Slider-crank
mechanism 4. Automotive clutch
operating mechanism
Select the
correct answer using the codes given below:
Codes:
(a)
1, 2 and 4
(b) 1 and 3 (c) 2, 3 and 4 (d) 1, 2, 3 and 4
23. Assertion (A): Hydraulic fluid is one form a link.
Reason (R): A link need not necessarily be a rigid body but it must be a
resistant body. [IES-1996]
(a)
Both A and R are individually true and R is the correct explanation of A
(b) Both A and R
are individually true but R is not the
correct explanation of A
(c) A is true
but R is false
(d) A is false
but R is true
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