Analysis of Plane Mechanisms · Theory of Machines · GATE ME

The figure shows a schematic of a simple Watt governor mechanism with the spindle O1O2 rotating at an angular velocity ω about a vertical axis. T...

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 single degree of freedom mass-spring - viscous damper system with mass $$m,$$ spring constant $$k$$ and viscous damping coefficient $$q$$ is critica...

The number of degrees of freedom in a planner mechanism having $$n$$ links and $$j$$ simple hinge joints is

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...

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 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.$...

For the given statements: ($$I.$$) $$\,\,\,$$ Mating spur gear teeth is an example of higher pair ($$II.$$) $$\,\,\,$$ A revolute joint is an example...

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...

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 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 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...

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 solid disc of radius $$r$$ rolls without slipping on a horizontal floor with angular velocity $$\omega $$ and angular acceleration $$\alpha $$. The ...

A double - parallelogram mechanism is shown in the figure. Note that PQ is a single link. The mobility of the mechanism is ...

There are two points P and Q on a planar rigid body. The relative velocity between the two points

Which of the following statements is INCORRECT

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 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...

The mechanism used in a shaping machine is

For the planar mechanism shown in Fig. select the most appropriate choice for the motion of link 2 when link 4 is moved upwards. ...

At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate ω = 7 rad/s. Pin P on link OD s...

The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity 𝜔1. A rigid bar PQ is pinned to the wheel at P while th...

In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity of the 2 cm long link is ω2 = ...

A planar four-bar linkage mechanism with 3 revolute kinematic pairs and 1 prismatic kinematic pair is shown in the figure, where AB ⊥ CE and FD ⊥ CE. ...

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...

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...

The number of degrees of freedom of the linkage shown in the figure is ...

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 ...

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...

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...

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 $$I$$ $$P.$$ 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 $$1$$ $$m$$ 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