GATE ME topic:theory-machines PYQs & Answers — Page 3

Questions 21–30 of 46. Imported answers require independent review unless marked reviewed.

The Whitworth quick return mechanism is shown in the figure with link lengths as follows: OP = 300 mm, OA = 150 mm, AR = 160 mm, RS = 450 mm.

Diagram for Mechanical Engineering question 52

The quick return ratio for the mechanism is ______ (round off to one decimal place).

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The torque provided by an engine is given by

N.m, where θ is the angle turned by the crank from inner dead center. The mean speed of the engine is 200 rpm and it drives a machine that provides a constant resisting torque. If variation of the speed from the mean speed is not to exceed ±0.5%, the minimum mass moment of inertia of the flywheel should be ______ kg.m² (round off to the nearest integer).

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A four bar mechanism is shown below.

Diagram for Mechanical Engineering question 8

For the mechanism to be a crank-rocker mechanism, the length of the link PQ can be

Your answerChoose one option.

80 mm

200 mm

300 mm

350 mm

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The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is

Your answerChoose one option.

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A flywheel is attached to an engine to keep its rotational speed between 100 rad/s and 110 rad/s. If the energy fluctuation in the flywheel between these two speeds is 1.05 kJ then the moment of inertia of the flywheel is ____________ kg.m² (round off to 2 decimal places).

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A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of 10 grams, attached to four points on the 100 mm radius circle shown in the figure.

Diagram for Mechanical Engineering question 21

The rotor is driven by a motor at uniform angular speed of 10 rad/s. If one of the masses gets detached then the magnitude of the resultant unbalance force on the rotor is __________ N (round off to 2 decimal places).

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The sun (S) and the planet (P) of an epicyclic gear train shown in the figure have identical number of teeth. If the sun (S) and the outer ring (R) gears are rotated in the same direction with angular speed

and

, respectively, then the angular speed of the arm AB is

Diagram for Mechanical Engineering question 29

Your answerChoose one option.

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A cam with a translation flat-face follower is desired to have the follower motion

Contact stress considerations dictate that the radius of curvature of the cam profile should not be less than 40 mm anywhere. The minimum permissible base circle radius is ______ mm (round off to one decimal place).

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The turning moment diagram of a flywheel fitted to a fictitious engine is shown in the figure.

Diagram for Mechanical Engineering question 39

The mean turning moment is 2000 Nm. The average engine speed is 1000 rpm. For fluctuation in the speed to be within

of the average speed, the mass moment of inertia of the flywheel is ______ kg.m

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A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity

. At time

, the vertical position of the follower is

, and the system is in the configuration shown below.

Diagram for Mechanical Engineering question 5

The vertical position of the follower face,

is given by

Your answerChoose one option.

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GATE ME topic:theory-machines PYQs

Question 52

Question 54

Question 8

Question 8

Question 20

Question 21

Question 29

Question 38

Question 39

Question 5