Solve GATE Questions on Mechanism
Common Data for Question 1, 2, and 3 :
An instantaneous configuration of a four bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity and angular acceleration of link are and , respectively, and the driving torque is zero. The link is balanced so that its centre of mass falls at .
Question 1. Which kind of four bar mechanism is ?
(A) Double-crank mechanism
(B) Crank-rocker mechanism
(C) Double- rocker mechanism
(D) Parallelogram mechanism
GATE-ME-2005
Hint 1. (Ans B)
Question 2. At the instant considered, what is the magnitude of the angular velocity of ?
(A) 1 rad/sec
(B) 3 rad/sec
(C) 8 rad/sec
(D) 64/3 rad/sec
GATE-ME-2005
Hint 2. (Ans B)
Question 3. At the same instant, if the component of the force at joint A along AB is 30 N, then the magnitude of the joint reaction at .
(A) is Zero
(B) is 30 N
(C) is 78 N
(D) Cannot be determined from the given data.
GATE-ME-2005
Hint 3. (Ans D)
Question 4. The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is
(A) 1
(B) 2
(C) 3
(D) 4
GATE-ME-2005
Hint 4 (Ans C)
Number of degree of freedom,
Question 5. 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 360° if
(A)
(B)
(C)
(D)
GATE-ME-2006
Hint 5 (Ans A)
According to Grashoff’s criteria.
Question 6. Match the items in columns I and II
Column I | Column II |
(P) Higher kinetic pair(Q) Lower kinetic pair
(R) Quick return mechanism (S) Mobility of a linkage |
(1) Grubler’s equation(2) Line contact
(3) Euler’s equation (4) Planer (5) Shaper (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
GATE-ME-2006
Hint 6. (Ans D)
Question 7. The number of inversions for a slider crank mechanism is
(A) 6
(B) 5
(C) 4
(D)3
GATE-ME-2006
Hint 7. (Ans C)
There are four member of inversion s for slider crank mechanism.
Question 8. For a four bar linkage in toggle position, the value of mechanical advantage is :
(A) 0.0
(B) 0.5
(C) 1.0
(D)
GATE-ME-2006
Hint 8. (Ans D)
For a four bar linkage on toggle position, effort=0
Linked Answer Questions : Q.21-Q.22 carry two marks each
A quick return mechanism is shown below. The crank OS is driven at 2 rev/s in counter-clockwise direction.
Question 9. If the quick return ratio is 1:2, then the length of the crank in mm is
(A) 250
(B) 250
(C) 500
(D)
GATE-ME-2007
Hint 9. (Ans A)
Question 10. The angular speed of PQ in rev/s when the block R attains maximum speed during forward stroke (stroke with slower speed) is
(A) 1/3
(B) 2/3
(C) 2
(D) 3
GATE-ME-2007
Hint 10 (Ans B)
Maximum speed in forward stroke occurs when QR and QS are perpendicular
Question 11. The input link of a four bar linkage is rotated at 2 rad/s in counter clockwise direction as shown below. The angular velocity of the coupler PQ in rad/s, at an instant when is
(A) 4
(B) 2
(C) 1
(D) 1/
GATE-ME-2007
Hint 11. (Ans C)
At the instant i.e,
The linkage is shown in figure
The velocity diagram for the configuration is
Velocity of coupler OP is
Angular velocity of coupler
1. (B) 2. (B) 3. (D) 4. (C) 5. (A) 6. (D) 7. (C) 8. (D) 9. (A) 10. (B) 11. (C)