Mechanical Engineering
GATE ME concept:equilibrium PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:equilibrium
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 1–5 of 5. Imported answers require independent review unless marked reviewed.
Question 27
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
Your 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 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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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 26
Open questionMEMSQ1 markNeeds review
A square plate is supported in four different ways (configurations (P) to (S) as shown in the figure). A couple moment
is applied on the plate. Assume all the members to be rigid and mass-less, and all joints to be frictionless. All support links of the plate are identical.
The square plate can remain in equilibrium in its initial state for which one or more of the following support configurations?
Your answerSelect all correct options. You can choose more than one.
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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 50
Open questionMENAT2 marksNeeds review
Two rigid massless rods PR and RQ are joined at frictionless pin-joint R and are resting on ground at P and Q, respectively, as shown in the figure. A vertical force
acts on the pin R as shown. When the included angle
, the rods remain in static equilibrium due to Coulomb friction between the rods and ground at locations P and Q. At
, impending slip occurs simultaneously at points P and Q. Then the ratio of the coefficient of friction at Q to that at P (
) is _________ (round off to two decimal places). 
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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 questionMENAT2 marksNeeds review
A slider crank mechanism is shown in the figure. At some instant, the crank angle is 45° and a force of 40 N is acting towards the left on the slider. The length of the crank is 30 mm and the connecting rod is 70 mm. Ignoring the effect of gravity, friction and inertial forces, the magnitude of the crankshaft torque (in Nm) needed to keep the mechanism in equilibrium is __________ (correct to two decimal places).
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