Mechanical Engineering
GATE ME Engineering Mechanics PYQs
Build your understanding with focused practice from past exam papers.
How to practice Engineering Mechanics
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 61. Imported answers require independent review unless marked reviewed.
Question 16
Open questionMEMCQ1 markNeeds review
A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular velocity of 3 rad/s. If the block slides along the slot with a constant speed of 0.2 m/s relative to the slot, then the magnitude of Coriolis acceleration in m/s
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 41
Open questionMEMCQ2 marksNeeds review
Two structural members are connected by a hinge and they are externally loaded as shown in the figure below. A and B are roller supports, and C is a pin support. Neglecting the mass of the members, the magnitude of the vertical reaction force at C in kN is
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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 48
Open questionMENAT2 marksNeeds review
A block of 50 kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown in the figure below. The coefficient of static friction between the block and the inclined plane is 0.3. Neglecting pulley friction, the minimum value of M required to start the upward motion of the block is ______ kg (rounded off to 1 decimal place).
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Open questionMENAT2 marksNeeds review
A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the downward direction at a given instant is 6 m/s. At that instant, the magnitude of absolute velocity of the midpoint G is ______ m/s (rounded off to 2 decimal places).
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Open questionMEMCQ1 markNeeds review
A rigid circular disc of radius
(in m) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is
(in rad s
). The velocities (in m s
) at points
and
, respectively, are 
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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 27
Open questionMEMCQ1 markNeeds review
A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?
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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 24
Open questionMEMCQ1 markNeeds review
A ram in the form of a rectangular body of size
and
is suspended by two parallel ropes of lengths 7 m. Assume the center-of-mass of the body is at its geometric center and
. For striking the object P with a horizontal velocity of 5 m/s, what is the angle
with the vertical from which the ram should be released from rest? 
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Open questionMEMCQ1 markNeeds review
A rigid massless tetrahedron is placed such that vertex O is at the origin and the other three vertices A, B, and C lie on the coordinate axes as shown in the figure. The body is acted on by three point loads, of which one is acting at A along x-axis and another at point B along y-axis. For the body to be in equilibrium, the third point load acting at point O must be
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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 58
Open questionMENAT2 marksNeeds review
A three-hinge arch ABC in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of
kN and
kN. Neglect friction at all the hinges. The magnitude of the horizontal reaction at B is ______ kN (rounded off to 1 decimal place).
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Open questionMENAT2 marksNeeds review
A band brake shown in the figure has a coefficient of friction of 0.3. The band can take a maximum force of 1.5 kN. The maximum braking force (F) that can be safely applied is ______ N (rounded off to the nearest integer).
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