GATE ME

Analysis of Plane Mechanisms

Theory of Machines

(Past Years Questions)

Marks 1

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In a slider-crank mechanism, the lengths of the crank and the connecting rod are 100mm and 160mm, respectively. The cran...
GATE ME 2017 Set 2
A rigid link $$PQ$$ is undergoing plane motion as shown in the figure ($${V_P}$$ and $${V_Q}$$ are non-zero). $${V_{QP}}...
GATE ME 2016 Set 3
The number of degrees of freedom in a planner mechanism having $$n$$ links and $$j$$ simple hinge joints is
GATE ME 2016 Set 3
A single degree of freedom mass-spring - viscous damper system with mass $$m,$$ spring constant $$k$$ and viscous dampin...
GATE ME 2016 Set 2
In the figure, link $$2$$ rotates with constant angular velocity $${{\omega _2}}$$. A slider link $$3$$ moves outwards w...
GATE ME 2015 Set 3
The number of degrees of freedom of the planetary gear train shown in the figure is ...
GATE ME 2015 Set 2
A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10m/s in t...
GATE ME 2015 Set 1
A circular object of radius r rolls without $$V$$ slipping on a horizontal level floor with the center having velocity $...
GATE ME 2014
A rigid link PQ is 2 m long and oriented at 20o to the horizontal as shown in the figure. The magnitude and direction of...
GATE ME 2014
A 4-bar mechanism with all revolute pairs has link lengths $${l_f} = 20\,\,mm,\,\,{l_{in}} = 40\,\,mm,\,\,{l_{co}} = 50m...
GATE ME 2014
For the given statements: ($$I.$$) $$\,\,\,$$ Mating spur gear teeth is an example of higher pair ($$II.$$) $$\,\,\,$$ ...
GATE ME 2014
A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding ...
GATE ME 2013
A planar closed kinematic chain is formed with rigid links $$PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m$$ and $$SP = 2.7 m$$ wit...
GATE ME 2013
A solid disc of radius $$r$$ rolls without slipping on a horizontal floor with angular velocity $$\omega $$ and angular ...
GATE ME 2012
In the mechanism given below, if the angular velocity of the eccentric circular disc is $$1$$ rad/s, the angular velocit...
GATE ME 2012
A double - parallelogram mechanism is shown in the figure. Note that PQ is a single link. The mobility of the mechanism ...
GATE ME 2011
Mobility of a statically indeterminate structure is
GATE ME 2010
There are two points P and Q on a planar rigid body. The relative velocity between the two points
GATE ME 2010
Which of the following statements is INCORRECT
GATE ME 2010
A simple quick return mechanism is shown in the figure. The forward to return ratio of the quick return mechanism is 2 :...
GATE ME 2009
A planar mechanism has 8 links and 10 rotary joints. The number of degrees of freedom of the mechanism, using Gruebler's...
GATE ME 2008
For a four bar linkage in Toggle position, the value of mechanical advantage is
GATE ME 2006
The number of inversions for a slider crank mechanism is
GATE ME 2006
The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is
GATE ME 2005
For a mechanism shown below, the mechanical advantage for the given configuration is ...
GATE ME 2004
The mechanism used in a shaping machine is
GATE ME 2003
The lengths of the links of a 4-bar linkage with revolute pairs only are $$p,q,r$$ and $$s$$ units. Given that $$p ...
GATE ME 2003
For the planar mechanism shown in Fig. select the most appropriate choice for the motion of link 2 when link 4 is moved ...
GATE ME 1999

Marks 2

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Block 2 slides outward on link 1 at a uniform velocity of 6m/s as shown in the figure. Link 1 is rotating at a constant ...
GATE ME 2017 Set 2
For an inline slider-crank mechanism, the lengths of the crank and connecting rod are 3 m and 4 m respectively. At the i...
GATE ME 2017 Set 1
The rod AB, of length 1 m, shown in the figure is connected to two sliders at each end through pins. The sliders can sli...
GATE ME 2016 Set 2
The number of degrees of freedom of the linkage shown in the figure is ...
GATE ME 2015 Set 3
Figure shows a wheel rotating about O2. Two points A and B located along the radius of wheel have speeds of 80 m/s and 1...
GATE ME 2015 Set 3
In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform ...
GATE ME 2015 Set 2
A slider-crank mechanism with crank radius $$60$$mm and connecting rod length $$240$$mm is shown in figure. The crank is...
GATE ME 2014
An offset slider - crank mechanism is shown in the figure at an instant. Conventionally, the Quick Return Ratio (QRR) is...
GATE ME 2014
For the four - bar linkage shown in the figure, the angular velocity of link AB is $$1$$ rad/s. The length of link CD is...
GATE ME 2011
For the configuration shown, the angular velocity of link AB is $$10$$ rad/s counterclockwise. The magnitude of the rela...
GATE ME 2010
Match the approaches given below to perform stated kinematics/dynamics analysis of machine Analysis $$P.$$ Continuous re...
GATE ME 2009
The input link Q2P of a four bar linkage is rotated at $$2$$ rad/s counter clockwise direction as shown below. The angul...
GATE ME 2007
A quick return mechanism is shown in below. The crank OS is drive at $$2$$ rev/s in counter clockwise direction If the...
GATE ME 2007
A quick return mechanism is shown in below. The crank OS is drive at $$2$$ rev/s in counter clockwise direction The ang...
GATE ME 2007
Match the items in column $$I$$ and $$II$$ List $$I$$ $$P.$$ Higher kinematic pair $$Q.$$ Lower kinematic pair $$R.$$ Qu...
GATE ME 2006
In a four-bar linkage, $$S$$ denotes the shortest link length, $$L$$ is the longest link length, $$P$$ and $$Q$$ are the...
GATE ME 2006
An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this...
GATE ME 2005
An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this...
GATE ME 2005
An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this...
GATE ME 2005
In the figure shown, the relative velocity of link $$1$$ with respect to link $$2$$ is $$12$$ m/sec. Link $$2$$ rotates ...
GATE ME 2004
The figure below shows a planar mechanism with single degree of freedom. The instant center $${{\rm I}_{24}}$$ for the g...
GATE ME 2004
Match the following Type of Mechanism $$P.$$ Scott - Russel mechanism $$Q.$$ Geneva mechanism $$R.$$ Off-set slider- cr...
GATE ME 2004
Match the following with respect to spatial mechanism. Type of Joint $$P.$$ Revolute $$Q.$$ Cylindrical $$R.$$ Spherical...
GATE ME 2004
The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the poi...
GATE ME 2003
The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the poi...
GATE ME 2003
For the audio Cassette mechanism shown in Figure given below where is the instantaneous center of rotation (point) of th...
GATE ME 1999
A rod of length $$1$$ $$m$$ is sliding in a corner as shown in Fig.$$2.7.$$ At an instant when the rod makes an angle of...
GATE ME 1996
Fig. shows a quick return mechanism. The crank $$OA$$ rotates clockwise uniformly. $$OA=2$$ cm, $$O{O^1} = 4$$ cm. The...
GATE ME 1995
The number of degrees of freedom of a five link plane mechanism with five revolute pairs as shown in the figure is: ...
GATE ME 1993
Instantaneous center of a body rolling with sliding on a stationary curved surface lies
GATE ME 1992

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