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Recent questions tagged gateme-2022-set1
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GATE Mechanical 2022 Set 1 | GA Question: 1
After playing __________ hours of tennis, I am feeling __________________ tired to walk back. too/too too/two two/ two two/too
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Verbal Aptitude
Feb 15, 2022
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GATE Mechanical 2022 Set 1 | GA Question: 2
The average of the monthly salaries of $\text{M, N}$ and $S$ is ₹$4000$. The average of the monthly salaries of $\text{N, S}$ and $P$ is ₹$5000$. The monthly salary of $P$ is ₹$6000$. What is the monthly salary of $M$ as a percentage of the monthly salary of $P$? $50\%$ $75\%$ $100\%$ $125\%$
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Quantitative Aptitude
Feb 15, 2022
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quantitative-aptitude
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GATE Mechanical 2022 Set 1 | GA Question: 3
A person travelled $80$ $\text{km}$ in $6$ hours. If the person travelled the first part with a uniform speed of $10$ $\text{kmph}$ and the remaining part with a uniform speed of $18$ $\text{kmph}$. What percentage of the total distance is travelled at a uniform speed of $10$ $\text{kmph}$? $28.25$ $37.25$ $43.75$ $50.00$
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Quantitative Aptitude
Feb 15, 2022
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Arjun
27.5k
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quantitative-aptitude
speed-time-distance
1
answer
2
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GATE Mechanical 2022 Set 1 | GA Question: 4
Four girls $\text{P, Q, R and S}$ are studying languages in a University. $P$ is learning French and Dutch. $Q$ is learning Chinese and Japanese. $R$ is learning Spanish and French. $S$ is learning Dutch and Japanese. Given that: French ... French. Based on the above information, which girl is learning the most difficult pair of languages? $P$ $Q$ $R$ $S$
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Analytical Aptitude
Feb 15, 2022
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analytical-aptitude
logical-reasoning
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1
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GATE Mechanical 2022 Set 1 | GA Question: 5
A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above. Which one of the following is the correct drawing of the view of the $\text{3D}$ object as viewed in the direction indicated by an arrow in the above figure? A. B. C. D.
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Spatial Aptitude
Feb 15, 2022
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spatial-aptitude
patterns-in-two-dimensions
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GATE Mechanical 2022 Set 1 | GA Question: 6
Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets ... are more likely to be returned than wallets that are really lost Money is always more important than keys
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Verbal Aptitude
Feb 15, 2022
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Arjun
27.5k
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gateme-2022-set1
verbal-aptitude
passage-reading
1
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1
vote
GATE Mechanical 2022 Set 1 | GA Question: 7
A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus? $\dfrac{1}{\sqrt{2}}$ $\dfrac{1}{2\sqrt{2}}$ $\sqrt{2}$ $2 \sqrt{2}$
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Quantitative Aptitude
Feb 15, 2022
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gateme-2022-set1
quantitative-aptitude
geometry
1
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1
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GATE Mechanical 2022 Set 1 | GA Question: 8
An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle? $3\sqrt{3} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 4 : 2\sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : 2\sqrt{\pi}$
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Quantitative Aptitude
Feb 15, 2022
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gateme-2022-set1
quantitative-aptitude
geometry
triangles
1
answer
1
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GATE Mechanical 2022 Set 1 | GA Question: 9
Given below are three conclusions drawn based on the following three statements. Statement $1$ : All teachers are professors. Statement $2$ : No professor is a male. Statement $3$ : Some males are engineers. Conclusion $\text{I}$: No ... $\text{III}$ are correct Only conclusion $\text{I}$ and conclusion $\text{III}$ are correct
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Analytical Aptitude
Feb 15, 2022
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Arjun
27.5k
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gateme-2022-set1
analytical-aptitude
statements-follow
1
answer
2
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GATE Mechanical 2022 Set 1 | GA Question: 10
In a $12$-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a $12$-hour duration from $3$ PM in a day to $3$ AM the next day? $11$ $12$ $144$ $2$
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Quantitative Aptitude
Feb 15, 2022
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Arjun
27.5k
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gateme-2022-set1
quantitative-aptitude
clock-time
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0
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GATE Mechanical 2022 Set 1 | Question: 1
The limit $p = \lim_{x\rightarrow \pi} \left ( \frac{x^{2} + \alpha x + 2 \pi^{2}}{x - \pi + 2 \sin x } \right )$ has a finite value for a real $\alpha$. The value of $\alpha$ and the corresponding limit $p$ are $\alpha = -3 \pi$ ,and $p= \pi$ $\alpha = -2 \pi$ ,and $p= 2\pi$ $\alpha = \pi$ ,and $p= \pi$ $\alpha = 2 \pi$ ,and $p=3 \pi$
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 2
Solution of $\triangledown ^{2} T = 0$ in a square domain ($0 < x< 1$ and $0 < y< 1$) with boundary conditions: $T \left ( x,0 \right ) = x; T \left ( 0,y \right ) = y; T\left ( x,1 \right ) = 1 + x; T\left ( 1,y \right )= 1 +y$ ... $T \left ( x,y \right ) = -x + y$ $T \left ( x,y \right ) = x + xy + y$
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 3
Given a function $\varphi =\frac{1}{2}\left (x ^{2} + y^{2} + z^{2} \right )$ in three-dimensional Cartesian space, the value of the surface integral $\oint_{s}\hat{n}\cdot \triangledown \varphi dS,$ where $S$ is the surface of a sphere of unit radius and $\hat{n}$ is the outward unit normal vector on $S$, is $4 \pi$ $3 \pi$ $\dfrac{4 \pi}{3}$ $0$
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 4
The Fourier series expansion of $x^{3}$ in the interval $-1 \leq x < 1$ with periodic continuation has only sine terms only cosine terms both sine and cosine terms only sine terms and a non – zero constant
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Others
Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 5
If $A = \begin{bmatrix} 10 & 2k +5 \\ 3k - 3 & k +5 \end{bmatrix}$ is a symmetric matrix, the value of $k$ is __________________. $8$ $5$ $-0.4$ $\frac{1 + \sqrt{1561}}{12}$
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 6
A uniform light slender beam $\text{AB}$ of section modulus $\text{EI}$ is pinned by a frictionless joint $A$ to the ground and supported by a light inextensible cable $\text{CB}$ to hang a weight $W$ as shown. If the maximum value of $W$ ... $\beta$ is $0.0924\:m^{-2}$ $0.0713\:m^{-2}$ $0.1261\:m^{-2}$ $0.1417\:m^{-2}$
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Feb 15, 2022
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27.5k
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GATE Mechanical 2022 Set 1 | Question: 7
The figure shows a schematic of a simple Watt governor mechanism with the spindle $O_{1}O_{2}$ rotating at an angular velocity $\omega$ about a vertical axis. The balls at $P$ and $S$ have equal mass. Assume that there is no friction anywhere and all ... If $\omega$ is doubled, the value of $h$ will be _________________ $\text{mm}$. $50$ $100$ $150$ $200$
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 8
A square threaded screw is used to lift a load $W$ by applying a force $F$. Efficiency of square threaded screw is expressed as The ratio of work done by $W$ per revolution to work done by $F$ per revolution $\frac{W}{F}$ $\frac{F}{W}$ The ratio of work done by $F$ per revolution to work done by $W$ per revolution
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 9
A $\text{CNC}$ worktable is driven in a linear direction by a lead screw connected directly to a stepper motor. The pitch of the lead screw is $5$ $\text{mm}$. The stepper motor completes one full revolution upon receiving $600$ ... stepper motor is $20$ $\text{kHz}$ $10$ $\text{kHz}$ $3$ $\text{kHz}$ $15$ $\text{kHz}$
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Feb 15, 2022
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27.5k
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GATE Mechanical 2022 Set 1 | Question: 10
The type of fit between a mating shaft of diameter $25.0 ^{+0.010}_{- 0.010}$ $\text{mm}$ and a hole of diameter $25.015 ^{+0.015}_{- 0.015}$ $\text{mm}$ is __________________. Clearance Transition Interference Linear
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 11
In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource is positive negative zero infinity
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Others
Feb 15, 2022
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27.5k
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GATE Mechanical 2022 Set 1 | Question: 12
Which one of the following is NOT a form of inventory? Raw materials Work-in-process materials Finished goods $\text{CNC}$ Milling Machines
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 13
The Clausius inequality holds good for any process any cycle only reversible process only reversible cycle
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 14
A tiny temperature probe is fully immersed in a flowing fluid and is moving with zero relative velocity with respect to the fluid. The velocity field in the fluid is $\vec{V} = \left ( 2x\right ) \hat{i} + \left ( y + 3t \right )\hat{j}$, and the temperature field ... by the probe at $\left ( x = 1, y = 1, t = 1 \right )$ is _____________. $4$ $0$ $18$ $14$
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 15
In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature $T_{\infty}$ ($g$ is the gravitational acceleration, $\beta$ is the volumetric thermal expansion ... viscous force. Ratio of buoyancy force to viscous force. Viscous force per unit mass. Buoyancy force per unit mass.
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Feb 15, 2022
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27.5k
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GATE Mechanical 2022 Set 1 | Question: 16
Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE? A body subjected to hydrostatic pressure ... a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.
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Others
Feb 15, 2022
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27.5k
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gateme-2022-set1
multiple-selects
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GATE Mechanical 2022 Set 1 | Question: 17
Which of the following heat treatment processes is/are used for surface hardening of steels? Carburizing Cyaniding Annealing Carbonitriding
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Feb 15, 2022
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27.5k
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GATE Mechanical 2022 Set 1 | Question: 18
Which of the following additive manufacturing technique(s) can use a wire as a feedstock material? Stereolithography Fused deposition modeling Selective laser sintering Directed energy deposition processes
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 19
Which of the following methods can improve the fatigue strength of a circular mild steel $\text{(MS)}$ shaft? Enhancing surface finish Shot peening of the shaft Increasing relative humidity Reducing relative humidity
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 20
The figure shows a purely convergent nozzle with a steady, inviscid compressible flow of an ideal gas with constant thermophysical properties operating under choked condition. The exit plane shown in the figure is located within the nozzle. If the ... through the nozzle will increase. Mach number at the exit plane of the nozzle will become more than unity.
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 21
The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without friction about a fixed vertical axis passing through $O$. Its mass moment of inertia is equal to $0.1\; kg.cm^{2}$ about $O$. A ... and sticks to it. Immediately after the impact, the angular velocity of the rod is ______________ $\text{rad/s}$ (in integer).
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Feb 15, 2022
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27.5k
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GATE Mechanical 2022 Set 1 | Question: 22
A rigid uniform annular disc is pivoted on a knife edge $A$ in a uniform gravitational field as shown, such that it can execute small amplitude simple harmonic motion in the plane of the figure without slip at the pivot point. The inner ... of circumference to diameter of a circle, then $\beta = $ ____________________ (round off to $2$ decimal places).
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GATE Mechanical 2022 Set 1 | Question: 23
Electrochemical machining operations are performed with tungsten as the tool, and copper and aluminum as two different workpiece materials. Properties of copper and aluminum are given in the table below. ... $\text{MRR}$ of aluminum will be _______________________ $\text{mg/s}$ (round-off to two decimal places)
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GATE Mechanical 2022 Set 1 | Question: 24
A polytropic process is carried out from an initial pressure of $110$ $\text{kPa}$ and volume of $5\; m^{3}$ to a final volume of $2.5\; m^{3}$. The polytropic index is given by $n = 1.2$. The absolute value of the work done during the process is ______________ $\text{kJ}$ (round off to $2$ decimal places).
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Feb 15, 2022
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GATE Mechanical 2022 Set 1 | Question: 25
A flat plate made of cast iron is exposed to a solar flux of $600\; W/m^{2}$ at an ambient temperature of $25^{\circ}C$. Assume that the entire solar flux is absorbed by the plate. Cast iron has a low ... the aforementioned conditions, the radiation equilibrium temperature of the plate is _____________$^{\circ}C$ (round off to the nearest integer).
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GATE Mechanical 2022 Set 1 | Question: 26
The value of the integral $\oint \left ( \frac{6z}{2z^{4} - 3z^{3} + 7z^{2} - 3z + 5 } \right )dz$ evaluated over a counter-clockwise circular contour in the complex plane enclosing only the pole $z = i$, where $i$ is the imaginary unit, is $\left ( -1 + i \right )\pi$ $\left ( 1 + i \right )\pi$ $2\left ( 1 - i \right )\pi$ $\left ( 2 + i \right )\pi$
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Feb 15, 2022
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27.5k
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GATE Mechanical 2022 Set 1 | Question: 27
An $L$-shaped elastic member $\text{ABC}$ with slender arms $\text{AB}$ and $\text{BC}$ of uniform cross-section is clamped at end $A$ and connected to a pin at end $C$. The pin remains in continuous contact with and is constrained to move in a smooth ... $\frac{5P}{8}$, and upwards $\frac{P}{4}$, and downwards $\frac{3P}{4}$, and upwards
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GATE Mechanical 2022 Set 1 | Question: 28
A planar four-bar linkage mechanism with $3$ revolute kinematic pairs and $1$ prismatic kinematic pair is shown in the figure, where $AB \perp CE$ and $FD \perp CE$. The $T$-shaped link $\text{CDEF}$ is constructed such that the ... $\text{AG and CDEF}$ on the border of Grashof and non-Grashof chains with uncertain configuration(s)
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GATE Mechanical 2022 Set 1 | Question: 29
Consider a forced single degree-of-freedom system governed by $\ddot{\chi }\left ( t \right ) + 2 \zeta \omega _{n}\dot{\chi }\left ( t \right ) +\omega _{n}^{2}\chi(t)= \omega _{n}^{2} \cos \left ( \omega t \right )$, where $\zeta$ and $\omega_{n}$ ... $\omega _{d} < \omega _{n} = \omega _{p}$ $\omega _{d} < \omega _{n} < \omega _{p}$
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GATE Mechanical 2022 Set 1 | Question: 30
A bracket is attached to a vertical column by means of two identical rivets $U$ and $V$ separated by a distance of $2a = 100\; mm$, as shown in the figure. The permissible shear stress of the rivet material is $50$ $\text{MPa}$. If a ... cross-sectional area of each of the rivets to avoid failure is ________________$mm^2$. $800$ $25$ $100\sqrt{7}$ $200$
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