GATE ME
Theory of Machines
Analysis of Plane Mechanisms
Previous Years Questions

## Marks 1

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