1
GATE ME 2006
+2
-0.6
Match the items in column $$I$$ and $$II$$

List $$I$$
$$P.$$ Higher kinematic pair
$$Q.$$ Lower kinematic pair
$$R.$$ Quick return mechanism
$$S.$$ Mobility of a linkage

List $$II$$
$$1.$$ Grubler's equation
$$2.$$ Line contact
$$3.$$ Euler's equation
$$4.$$ planar
$$5.$$ 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
$$P = 2,Q = 6,R = 5,S = 1$$
2
GATE ME 2006
+2
-0.6
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 $${360^ \circ }$$ if
A
$$S + L \le P + Q$$
B
$$S + L > P + Q$$
C
$$S + P \le L + Q$$
D
$$S + P > L + Q$$
3
GATE ME 2005
+2
-0.6
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 $${Q_2}\,\,A$$ are $$\omega = 8\,\,rad/s$$ and $$\alpha = 0$$, respectively, and the driving torque $$(T)$$ is zero. The link $${Q_2}\,\,A$$ is balanced so that its center of mass falls at $${Q_2}.$$

Which kind of $$4$$-bar mechanism is $${Q_2}AB{O_4}?$$

A
Double-crank mechanism
B
Crank-rocker mechanism
C
Double-rocker mechanism
D
Parallelogram mechanism
4
GATE ME 2005
+2
-0.6
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 $${Q_2}\,\,A$$ are $$\omega = 8\,\,rad/s$$ and $$\alpha = 0$$, respectively, and the driving torque $$(T)$$ is zero. The link $${Q_2}\,\,A$$ is balanced so that its center of mass falls at $${Q_2}.$$

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 $${Q_2}$$.

A
is $$Zero$$
B
is $$30$$ $$N$$
C
is $$78$$ $$N$$
D
cannot be determined from the given data
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