Mechanical Engineering
GATE ME Theory of Machines PYQs
Build your understanding with focused practice from past exam papers.
How to practice Theory of Machines
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 46. Imported answers require independent review unless marked reviewed.
Question 17
Open questionMEMCQ1 markNeeds review
A gear train with five gears is shown in the figure below. The number of teeth on each gear is
,
,
,
, and
. The idler gear in this gear train is
Your answerChoose one option.
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Open questionMEMCQ1 markNeeds review
The rotor of an aeroplane engine has a mass moment of inertia 1.0 kg m
. The engine rotates at a speed of 500 RPM in the clockwise direction if viewed from the front of the aeroplane. If the aeroplane while flying at 1200 km/hr turns with a radius of 2 km at same elevation, then the magnitude of the gyroscopic moment exerted by the rotor on the aeroplane structure in N m isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
Worm gears are used for transmission rotary motion between
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Open questionMEMCQ1 markNeeds review
In the context of balancing of rotating and reciprocating masses, which one of the following options is true?
Your answerChoose one option.
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Open questionMENAT2 marksNeeds review
An offset slider-crank mechanism is shown in the figure below.
The length of the stroke of the slider is _____ mm (rounded off to nearest integer).
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Open questionMEMCQ1 markNeeds review
The change in kinetic energy
of an engine is 300 J, and minimum and maximum shaft speeds are
and
, respectively. Assume that the torque-time function is purely harmonic. To achieve a coefficient of fluctuation of 0.05, the moment of inertia (in kg.m
) of the flywheel to be mounted on the engine shaft isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
Open questionMENAT2 marksNeeds review
The Levi type-A train illustrated in the figure has gears with module
mm/tooth. Gears 2 and 3 have 19 and 24 teeth respectively. Gear 2 is fixed and internal gear 4 rotates at 20 rev/min counter-clockwise. The magnitude of angular velocity of the arm is ________ rev/min. (rounded off to 2 decimal places)
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Open questionMENAT2 marksNeeds review
At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate
rad/s. Pin P on link OD slides in the slot BC of link ABC which is hinged at A, and causes a clockwise rotation of the link ABC. The magnitude of angular velocity of link ABC for this instant is _________________ rad/s (rounded off to 2 decimal places).
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Open questionMENAT1 markNeeds review
Two mesh spur gears 1 and 2 with diametral pitch of 8 teeth per mm and an angular velocity ratio |ω₂|/|ω₁| = 1/4, have their centers 30 mm apart. The number of teeth on the driver (gear 1) is ______ . (Answer in integer)
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Open questionMEMCQ2 marksNeeds review
The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity
. A rigid bar PQ is pinned to the wheel at P while the end Q slides on the floor.What is the angular velocity
of the bar PQ?
Your answerChoose one option.
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