Solved GATE Questions on Mechanism
Question 1.. A planar mechanism has 8 links and 10 rotary joints. The number of degree of freedom of the mechanism, using the Grubler’s criterion is
(A) 0
(B) 1
(C) 2
(D) 3
GATE-ME-2008
Hint 1. (Ans B)
By Grubler’s criterion,
Question 2. Match the approaches given below to perform stated kinetics/dynamics analysis of machine
| Analysis | Approach |
| P. Continuous relative motion | 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 theorem |
(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
GATE-ME-2009
Hint 2. (Ans B)
Question 3. 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 
is 125 mm, then the distance ‘d’ (in mm) between the crank centre to lever pivot centre point should be
(A) 144.3
(B) 216.5
(C) 240.0
(D) 250.0
GATE-ME-2009
Hint 3. (Ans D)
Question 4.. For the configuration shown, the angular velocity of the link AB is 10 rad/s counterclockwise. The magnitude of the relative sliding velocity (in m/s) of slider B with respect to rigid link CD is
(A) 0
(B) 0.86
(C) 1.25
(D) 2.50
GATE-ME-2010
Hint 4. (Ans D)
Angle ABC is 90°, hence,
Question 5. Which of the following statement is INCORRECT
(A) Grashof’s rule states that for a planar crank-rocker four bar mechanism, the sum of the shortest link lengths cannot be less than the sum of the remaining two link lengths.
(B) Inversion of a mechanism are created by fixing different links one at a time.
(C) Geneva mechanism is an intermittent motion mechanism.
(D) Grubler’s criterion assumes mobility of a planar mechanism to be one.
GATE-ME-2010
Hint 5. (Ans A)
Grashof’s rule states that the sum of the shortest and longest link for a planar Crank-rocker four bar mechanism can not be greater than the sum of the remaining two link lengths
Question 6. For the four bar linkage shown in the figure, the angular velocity of the link AB is 1 rad/s. the length of the link CD is 1.5 times the length of link AB. In the configuration shown, the angular velocity of link CD in rad/s is
(A) 3
(B) 3/2
(C) 1
(D) 2/3
GATE-ME-2011
Hint 6. (Ans D)
Velocity of link AB= Velocity of link CD
Question 7. A double parallelogram mechanism is shown in the figure. Note that PQ is single link. The mobility of the mechanism is
(A) -1
(B) 0
(C) 1
(D) 2
GATE-ME-2011
Hint 7. (Ans C)
Question 8. A solid disc roll without slipping on a horizontal floor with angular velocity 
and angular acceleration 
. The magnitude of the acceleration of the point of contact on the disc is
(A) Zero
(B) r
(C) 
(D) 
GATE-ME-2012
Hint 8. (Ans D)
Acceleration at point ‘O’
are linear accelerations with same magnitude and opposite direction.
Question 9. In the mechanism given below, if the velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the following link for the instant shown in the figure is Note : All dimensions are in mm
(A)0.05
(B)0.1
(C) 5.0
(D) 10.0
GATE-ME-2012
Hint 9. (Ans B)
should be in the line joining 
.
Similarly the link 3 is rolling on link 2.
So the I-centre 
will be on the line perpendicular to the link-2.
So the point C is the interaction of these of two loci. Which is the centre of the disc.
Question 10. A planar closed kinetic chain is formed with rigid links PQ=2.0 m, QR=3.0 m, RS=2.5 m and SP=2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rocker-rocker) mechanism is
(A) PQ
(B) QR
(C) RS
(D) SP
GATE-ME-2013
Hint 10. (Ans C)
As, we have shortest + longest link
sum of intermediate lengths
2+3
2.5+2.7
5
5.2
We get double rocker by fixing link opposite to shortest link (PQ)
Answer key
1. (B) 2. (B) 3. (D) 4. (D) 5. (A) 6. (D) 7. (C) 8. (D) 9. (B) 10. (C)
3 Responses to “Previous Years GATE Questions on Mechanism 2008-20013”
suyash
Give more than 25 questions
admin
Okay, will try my best.
Thanks
Harish kumar
Thank sir