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GATE Mechanical 2024 | Question: 31
​​​​Which of the following beam(s) is/are statically indeterminate?
​​​​Which of the following beam(s) is/are statically indeterminate?
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GATE Mechanical 2024 | Question: 32
If the value of the double integral \[ \int_{x=3}^{4} \int_{y=1}^{2} \frac{d y d x}{(x+y)^{2}} \] is $\log _{e}(a / 24)$, then $a$ is __________ (answer in integer).
If the value of the double integral\[\int_{x=3}^{4} \int_{y=1}^{2} \frac{d y d x}{(x+y)^{2}}\]is $\log _{e}(a / 24)$, then $a$ is __________ (answer in integer).
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GATE Mechanical 2024 | Question: 33
If $x(t)$ satisfies the differential equation \[ t \frac{d x}{d t}+(t-x)=0 \] subject to the condition $x(1)=0$, then the value of $x(2)$ is __________ (rounded off to 2 decimal places).
If $x(t)$ satisfies the differential equation\[t \frac{d x}{d t}+(t-x)=0\]subject to the condition $x(1)=0$, then the value of $x(2)$ is __________ (rounded off to 2 deci...
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GATE Mechanical 2024 | Question: 42
The Levai type-$\text{A}$ train illustrated in the figure has gears with module $m=8 \mathrm{~mm} /$ tooth. Gears $2$ and $3$ have $19$ and $24$ teeth respectively. Gear $2$ is fixed and internal gear $4$ ... $\text{rev/min}$. (rounded off to $2$ decimal places)
The Levai type-$\text{A}$ train illustrated in the figure has gears with module $m=8 \mathrm{~mm} /$ tooth. Gears $2$ and $3$ have $19$ and $24$ teeth respectively. Gear ...
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GATE Mechanical 2024 | Question: 49
A band brake shown in the figure has a coefficient of friction of $0.3$. The band can take a maximum force of $1.5 \mathrm{kN}$. The maximum braking force $\text{(F)}$ that can be safely applied is ___________ $\mathrm{N}$ (rounded off to the nearest integer).
A band brake shown in the figure has a coefficient of friction of $0.3$. The band can take a maximum force of $1.5 \mathrm{kN}$. The maximum braking force $\text{(F)}$ th...
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GATE Mechanical 2024 | Question: 51
Aluminium is casted in a cube-shaped mold having dimensions as $20 \mathrm{~mm} \times 20 \mathrm{~mm} \times 20 \mathrm{~mm}$ ... is the same. The ratio of the solidification times of the cube-shaped mold to the spherical mold is __________ (answer in integer).
Aluminium is casted in a cube-shaped mold having dimensions as $20 \mathrm{~mm} \times 20 \mathrm{~mm} \times 20 \mathrm{~mm}$. Another mold of the same mold material is ...
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GATE Mechanical 2024 | Question: 53
In an arc welding process, the voltage and current are $30 \mathrm{~V}$ and $200 \mathrm{~A}$, respectively. The cross-sectional area of the joint is $20 \mathrm{~mm}^{2}$ ... $2$ decimal places).
In an arc welding process, the voltage and current are $30 \mathrm{~V}$ and $200 \mathrm{~A}$, respectively. The cross-sectional area of the joint is $20 \mathrm{~mm}^{2}...
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GATE Mechanical 2023 | Question: 1
A machine produces a defective component with a probability of $0.015$. The number of defective components in a packed box containing $200$ components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are $3$ ... $\sqrt{3}$, respectively $0.015$ and $0.015$, respectively $3$ and $9$, respectively
A machine produces a defective component with a probability of $0.015$. The number of defective components in a packed box containing $200$ components produced by the mac...
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GATE Mechanical 2023 | Question: 2
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$ identifies the function? $|2-x|$ $|2-| x||$ $|2+| x||$ $2-|x|$
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$$ identifies the function?$|2-x|$$|2-| x||$$|2+| x||$...
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GATE Mechanical 2023 | Question: 6
The effective stiffness of a cantilever beam of length $L$ and flexural rigidity $E I$ subjected to a transverse tip load $\mathrm{W}$ is $\frac{3 E I}{L^{3}}$ $\frac{2 E I}{L^{3}}$ $\frac{L^{3}}{2 E I}$ $\frac{L^{3}}{3 E I}$
The effective stiffness of a cantilever beam of length $L$ and flexural rigidity $E I$ subjected to a transverse tip load $\mathrm{W}$ is$\frac{3 E I}{L^{3}}$$\frac{2 E I...
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GATE Mechanical 2023 | Question: 7
The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?
The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?
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GATE Mechanical 2023 | Question: 8
The $\text{S-N}$ curve from a fatigue test for steel is shown. Which one of the options gives the endurance limit? $S_{u t}$ $S_2$ $S_3$ $S_4$
The $\text{S-N}$ curve from a fatigue test for steel is shown. Which one of the options gives the endurance limit? $S_{u t}$$S_2$$S_3$$S_4$
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GATE Mechanical 2023 | Question: 13
Two surfaces $\text{P}$ and $\text{Q}$ are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces $\text{P}$ and $\text{Q}$ for creating the joint? Arc welding Brazing Adhesive bonding Spot welding
Two surfaces $\text{P}$ and $\text{Q}$ are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces $\text{P}$ and $\tex...
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