# Analysis of Plane Mechanisms Β· Theory of Machines Β· GATE ME

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## Marks 1

GATE ME 2017 Set 2
In a slider-crank mechanism, the lengths of the crank and the connecting rod are 100mm and 160mm, respectively. The crank is rotating with an angular ...
GATE ME 2016 Set 3
A rigid link $$PQ$$ is undergoing plane motion as shown in the figure ($${V_P}$$ and $${V_Q}$$ are non-zero). $${V_{QP}}$$ is the relative velocity of...
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 2
A single degree of freedom mass-spring - viscous damper system with mass $$m,$$ spring constant $$k$$ and viscous damping coefficient $$q$$ is critica...
GATE ME 2015 Set 3
In the figure, link $$2$$ rotates with constant angular velocity $${{\omega _2}}$$. A slider link $$3$$ moves outwards with a constant relative veloci...
GATE ME 2015 Set 2
The number of degrees of freedom of the planetary gear train shown in the figure is ...
GATE ME 2015 Set 1
A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10m/s in the horizontal direction, the m...
GATE ME 2014
A circular object of radius r rolls without $$V$$ slipping on a horizontal level floor with the center having velocity $$V.$$ The velocity at the poin...
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 velocity VQ, and the directio...
GATE ME 2014
For the given statements: ($$I.$$) $$\,\,\,$$ Mating spur gear teeth is an example of higher pair ($$II.$$) $$\,\,\,$$ A revolute joint is an example...
GATE ME 2014
A 4-bar mechanism with all revolute pairs has link lengths $${l_f} = 20\,\,mm,\,\,{l_{in}} = 40\,\,mm,\,\,{l_{co}} = 50mm$$ and $${l_{out}} = 60\,mm.... GATE ME 2013 A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an... GATE ME 2013 A planar closed kinematic chain is formed with rigid links$$PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m$$and$$SP = 2.7 m$$with all revolute joints. The lin... GATE ME 2012 A solid disc of radius$$r$$rolls without slipping on a horizontal floor with angular velocity$$\omega $$and angular acceleration$$\alpha $$. The ... GATE ME 2012 In the mechanism given below, if the angular velocity of the eccentric circular disc is$$1$$rad/s, the angular velocity (rad/s) of the follower link... GATE ME 2011 A double - parallelogram mechanism is shown in the figure. Note that PQ is a single link. The mobility of the mechanism is ... GATE ME 2010 Which of the following statements is INCORRECT GATE ME 2010 There are two points P and Q on a planar rigid body. The relative velocity between the two points GATE ME 2010 Mobility of a statically indeterminate structure is GATE ME 2009 A simple quick return mechanism is shown in the figure. The forward to return ratio of the quick return mechanism is 2 : 1. If the radius of the crank... GATE ME 2008 A planar mechanism has 8 links and 10 rotary joints. The number of degrees of freedom of the mechanism, using Gruebler's criterion, is GATE ME 2006 For a four bar linkage in Toggle position, the value of mechanical advantage is GATE ME 2006 The number of inversions for a slider crank mechanism is GATE ME 2005 The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is GATE ME 2004 For a mechanism shown below, the mechanical advantage for the given configuration is ... GATE ME 2003 The mechanism used in a shaping machine is GATE ME 2003 The lengths of the links of a 4-bar linkage with revolute pairs only are$$p,q,r$$and$$s$$units. Given that$$p < q < r < s.$$Which of th... GATE ME 1999 For the planar mechanism shown in Fig. select the most appropriate choice for the motion of link 2 when link 4 is moved upwards. ... ## Marks 2 GATE ME 2024 At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate Ο = 7 rad/s. Pin P on link OD s... GATE ME 2023 The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity π1. A rigid bar PQ is pinned to the wheel at P while th... GATE ME 2017 Set 2 Block 2 slides outward on link 1 at a uniform velocity of 6m/s as shown in the figure. Link 1 is rotating at a constant angular velocity of 20 radian/... GATE ME 2017 Set 1 For an inline slider-crank mechanism, the lengths of the crank and connecting rod are 3 m and 4 m respectively. At the instant when the connecting rod... GATE ME 2016 Set 2 The rod AB, of length 1 m, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along QP and QR. If the vel... GATE ME 2015 Set 3 The number of degrees of freedom of the linkage shown in the figure is ... GATE ME 2015 Set 3 Figure shows a wheel rotating about O2. Two points A and B located along the radius of wheel have speeds of 80 m/s and 140 m/s respectively. The dista... GATE ME 2015 Set 2 In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of 14 rad/s and ... GATE ME 2014 A slider-crank mechanism with crank radius$$60$$mm and connecting rod length$$240$$mm is shown in figure. The crank is rotating with a uniform angul... GATE ME 2014 An offset slider - crank mechanism is shown in the figure at an instant. Conventionally, the Quick Return Ratio (QRR) is considered to be greater than... GATE ME 2011 For the four - bar linkage shown in the figure, the angular velocity of link AB is$$1$$rad/s. The length of link CD is$$1.5$$times the length of l... GATE ME 2010 For the configuration shown, the angular velocity of link AB is$$10$$rad/s counterclockwise. The magnitude of the relative sliding velocity (in ms-1... GATE ME 2009 Match the approaches given below to perform stated kinematics/dynamics analysis of machine Analysis$$P.$$Continuous relative rotation$$Q.$$Veloci... GATE ME 2007 A quick return mechanism is shown in below. The crank OS is drive at$$2$$rev/s in counter clockwise direction If the quick return ratio is$$1:2$$... GATE ME 2007 The input link Q2P of a four bar linkage is rotated at$$2$$rad/s counter clockwise direction as shown below. The angular velocity of the coupler PQ ... GATE ME 2007 A quick return mechanism is shown in below. The crank OS is drive at$$2$$rev/s in counter clockwise direction The angular speed of PQ in rev/s when... GATE ME 2006 Match the items in column$$I$$and$$II$$List$$IP.$$Higher kinematic pair$$Q.$$Lower kinematic pair$$R.$$Quick return mechanism$$S.$$Mo... GATE ME 2006 In a four-bar linkage,$$S$$denotes the shortest link length,$$L$$is the longest link length,$$P$$and$$Q$$are the lengths of other two links. A... GATE ME 2005 An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity... GATE ME 2005 An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity... GATE ME 2005 An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity... GATE ME 2004 Match the following Type of Mechanism$$P.$$Scott - Russel mechanism$$Q.$$Geneva mechanism$$R.$$Off-set slider- crank mechanism$$S.$$Scotch Yo... GATE ME 2004 The figure below shows a planar mechanism with single degree of freedom. The instant center$${{\rm I}_{24}}$$for the given configuration is located ... GATE ME 2004 Match the following with respect to spatial mechanism. Type of Joint$$P.$$Revolute$$Q.$$Cylindrical$$R.$$Spherical Motion constrained$$1.$$Th... GATE ME 2004 In the figure shown, the relative velocity of link$$1$$with respect to link$$2$$is$$12$$m/sec. Link$$2$$rotates at a constant speed of$$120$$... GATE ME 2003 The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point$$O$$at a uniform angular ... GATE ME 2003 The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point$$O$$at a uniform angular ... GATE ME 1999 For the audio Cassette mechanism shown in Figure given below where is the instantaneous center of rotation (point) of the two spools? ... GATE ME 1996 A rod of length$$1m$$is sliding in a corner as shown in Fig.$$2.7.$$At an instant when the rod makes an angle of$$60$$degrees with the horiz... GATE ME 1995 Fig. shows a quick return mechanism. The crank$$OA$$rotates clockwise uniformly.$$OA=2$$cm,$$O{O^1} = 4 cm. The ratio of time for forward mot...
GATE ME 1993
The number of degrees of freedom of a five link plane mechanism with five revolute pairs as shown in the figure is: ...
GATE ME 1992
Instantaneous center of a body rolling with sliding on a stationary curved surface lies
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