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Recent questions and answers in Engineering Mechanics

2 2 votes
1 1 answer
271
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GATE Mechanical 2026 | Question: 31
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. Neglecti...
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2 2 answers
716
716 views
GATE Mechanical 2025 | Question: 17
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?$B D$$B C$$B A$$A D$
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179
179 views
GATE Mechanical 2026 | Question: 38
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...
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0 0 answers
166
166 views
GATE Mechanical 2026 | Question: 40
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 ...
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0 0 answers
918
918 views
GATE Mechanical 2024 | Question: 14
​​​​A ram in the form of a rectangular body of size $l=9 \mathrm{~m}$ and $b=2 \mathrm{~m}$ is suspended by two parallel ropes of lengths $7 \mathrm{~m}$. Assume the cent...
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0 0 answers
836
836 views
GATE Mechanical 2024 | Question: 17
​​​​A rigid massless tetrahedron is placed such that vertex $\mathrm{O}$ is at the origin and the other three vertices $\text{A, B}$, and $\text{C}$ lie on the coordinate...
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748
748 views
GATE Mechanical 2024 | Question: 48
A three-hinge arch $\text{ABC}$ in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of $\text{P}=100 \mathrm{kN}$ ...
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1 1 answer
730
730 views
GATE2020-ME-2: 5
An attempt is made to pull a roller of weight $W$ over a curb (step) by applying a horizontal force $F$ as shown in the figure. The coefficient of static friction between...
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1.1k
1.1k views
GATE Mechanical 2023 | Question: 24
The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the application of a force $\mathbf{P}$. The belt wraps ar...
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1.2k
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GATE Mechanical 2023 | Question: 27
A spherical ball weighing $2 \mathrm{~kg}$ is dropped from a height of $4.9 \mathrm{~m}$ onto an immovable rigid block as shown in the figure. If the collision is perfect...
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0 0 answers
974
974 views
GATE Mechanical 2022 Set 2 | Question: 16
A square plate is supported in four different ways (configurations $(P)$ to $(S)$ as shown in the figure). A couple moment $C$ is applied on the plate. Assume all the mem...
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844
844 views
GATE Mechanical 2022 Set 2 | Question: 20
A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow slots and having equal weight of $20\: N$ each ca...
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410
410 views
GATE Mechanical 2022 Set 2 | Question: 27
A rigid homogeneous uniform block of mass $1$ $\text{kg}$, height $h = 0.4 \:m$ and width $b = 0.3\: m$ is pinned at one corner and placed upright in a uniform gravitatio...
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322
322 views
GATE Mechanical 2022 Set 2 | Question: 29
A rigid body in the $\text{X-Y}$ plane consists of two point masses ($1$ $\text{kg}$ each) attached to the ends of two massless rods, each of $1$ $\text{cm}$ length, as s...
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1.0k
1.0k views
GATE Mechanical 2022 Set 2 | Question: 37
The lengths of members $\text{BC}$ and $\text{CE}$ in the frame shown in the figure are equal. All the members are rigid and lightweight, and the friction at the joints i...
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386
386 views
GATE Mechanical 2022 Set 2 | Question: 40
A shaft of length $L$ is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface)...
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720
720 views
GATE Mechanical 2022 Set 2 | Question: 41
A rigid beam $\text{AD}$ of length $3a = 6\:m$ is hinged at frictionless pin joint $A$ and supported by two strings as shown in the figure. String $\text{BC}$ passes over...
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346
346 views
GATE Mechanical 2022 Set 1 | Question: 39
A structure, along with the loads applied on it, is shown in the figure. Self-weight of all the members is negligible and all the pin joints are friction-less. $AE$ is a ...
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409
409 views
GATE Mechanical 2021 Set 2 | Question: 14
A plane truss $\text{PQRS}$ ($\text{PQ=RS}$, and $\angle PQR=90^{\circ}$) is shown in the figure.The forces in the members $\text{PR}$ and $\text{RS}$, respectively, are ...
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0 0 answers
499
499 views
GATE Mechanical 2021 Set 2 | Question: 51
A block of negligible mass rests on a surface that is inclined at $30^{\circ}$ to the horizontal plane as shown in the figure. When a vertical force of $\text{900 N}$ and...
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0 0 answers
847
847 views
GATE Mechanical 2021 Set 1 | Question: 50
Two smooth identical spheres each of radius $\text{125 mm}$ and weight $\text{100 N}$ rest in a horizontal channel having vertical walls. The distance between vertical wa...
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1 1 answer
468
468 views
GATE2018-1-17
The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are$3, 3$$3, 12$$4, 12$$4, 48$
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520
520 views
GATE2020-ME-2: 8
The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is$1$$2$$3$$4$
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0 0 answers
340
340 views
GATE2020-ME-2: 20
A beam of negligible mass is hinged at support $P$ and has a roller support $Q$ as shown in the figure.A point load of $1200 \: N$ is applied at point $R$. The magnitude ...
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0 0 answers
249
249 views
GATE2020-ME-2: 40
A rigid block of mass $m_1=10$ kg having velocity $v_0=2 \: m/s$ strikes a stationary block of mass $m_2=30$ kg after traveling $1$ m along a frictionless horizontal surf...
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0 0 answers
466
466 views
GATE2019 ME-2: 45
Three sets parallel plates $LM$, $NR$ and $PQ$ are given in Figures $1$, $2$ and $3$. The view factor $F_{IJ}$ is defined as the fraction of radiation leaving plate $I$ t...
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2 2 answers
1.1k
1.1k views
GATE2018-2-25
A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring t...
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0 0 answers
206
206 views
ISRO2017-1-1
A beam is fixed at one end and is vertically supported at the other end. What is the degree of statistical indeterminacy?$1$$2$$3$$4$
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267
267 views
GATE2018-2-39
A force of $100 \: N$ applied to the centre of a circular disc, of mass $10 \: kg$ and radius $1 \: m$, resting on a floor as shown in the figure. If the disc rolls witho...
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614
614 views
GATE2018-2-29
In a rigid body in plane motion, the point R is accelerating with respect to point P at $10 \angle 180^{\circ} \: m/s^2$. If the instantaneous acceleration of point $Q$ i...
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285
285 views
GATE2018-2-30
A rigid rod of length $1 \: m$ is resting at an angle $\theta =45^{\circ}$ as shown in the figure. The end $P$ is dragged with a velocity of $U=5 \: m/s$ to the right. At...
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