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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 | GA Question: 7
Consider the following inequalities $ \begin{aligned} & p^2-4 q<4 \\ & 3 p+2 q<6 \end{aligned} $ where $p$ and $q$ are positive integers. The value of $(p+q)$ is __________. $2$ $1$ $3$ $4$
Consider the following inequalities$$\begin{aligned}& p^2-4 q<4 \\& 3 p+2 q<6\end{aligned}$$where $p$ and $q$ are positive integers.The value of $(p+q)$ is __________.$2$...
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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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GATE Mechanical 2023 | Question: 17
Which of the plot(s) shown is/are valid Mohr's circle representations of a plane stress state in a material? (The center of each circle is indicated by $0$.) $\text{M1}$ $\text{M2}$ $\text{M3}$ $\text{M4}$
Which of the plot(s) shown is/are valid Mohr's circle representations of a plane stress state in a material? (The center of each circle is indicated by $0$.)$\text{M1}$$\...
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GATE Mechanical 2023 | Question: 2
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$ identifies the function? $|2-x|$ $|2-| x||$ $|2+| x||$ $2-|x|$
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$$ identifies the function?$|2-x|$$|2-| x||$$|2+| x||$...
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GATE Mechanical 2023 | Question: 18
Consider a laterally insulated rod of length $\mathrm{L}$ and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following steady-state temperature profile(s) can occur without internal heat generation?
Consider a laterally insulated rod of length $\mathrm{L}$ and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following s...
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GATE Mechanical 2023 | Question: 19
Two meshing spur gears $1$ and $2$ with diametral pitch of $8$ teeth per mm and an angular velocity ratio $\left|\omega_{2}\right| /\left|\omega_{1}\right|=1 / 4$, have their centers $30 \mathrm{~mm}$ apart. The number of teeth on the driver (gear $1$) is___________. (Answer in integer)
Two meshing spur gears $1$ and $2$ with diametral pitch of $8$ teeth per mm and an angular velocity ratio $\left|\omega_{2}\right| /\left|\omega_{1}\right|=1 / 4$, have t...
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GATE Mechanical 2023 | Question: 23
The value of $k$ that makes the complex-valued function $ f(z)=e^{-k x}(\cos 2 y-i \sin 2 y) $ analytic, where $z=x+i y$, is __________. (Answer in integer)
The value of $k$ that makes the complex-valued function$$f(z)=e^{-k x}(\cos 2 y-i \sin 2 y)$$analytic, where $z=x+i y$, is __________. (Answer in integer)
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GATE Mechanical 2023 | Question: 22
A linear transformation maps a point $(x, y)$ in the plane to the point $(\hat{x}, \hat{y})$ according to the rule $\hat{x}=3 y, \quad \hat{y}=2 x .$ Then, the disc $x^2+y^2 \leq 1$ gets transformed to a region with an area equal to ________. (Rounded off to two decimals) Use $\pi=3.14$
A linear transformation maps a point $(x, y)$ in the plane to the point $(\hat{x}, \hat{y})$ according to the rule$$\hat{x}=3 y, \quad \hat{y}=2 x .$$Then, the disc $x^2+...
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GATE Mechanical 2023 | Question: 48
The area moment of inertia about the $y$-axis of a linearly tapered section shown in the figure is __________ $\mathrm{m}^4$. (Answer in integer)
The area moment of inertia about the $y$-axis of a linearly tapered section shown in the figure is __________ $\mathrm{m}^4$.(Answer in integer)
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GATE Mechanical 2023 | Question: 37
A very large metal plate of thickness $d$ and thermal conductivity $k$ is cooled by a stream of air at temperature $T_{\infty}=300 \mathrm{~K}$ with a heat transfer coefficient $h$, as shown in the figure. The centerline temperature of the plate is $T_{\mathrm{P}}$. In ...
A very large metal plate of thickness $d$ and thermal conductivity $k$ is cooled by a stream of air at temperature $T_{\infty}=300 \mathrm{~K}$ with a heat transfer coeff...
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