Questions by admin / GO Mechanical

0 answers

1 votes

GATE Mechanical 2023 | Question: 46
An optical flat is used to measure the height difference between a reference slip gauge $\text{A}$ and a slip gauge $\text{B}$. Upon viewing via the optical flat using a monochromatic light of wavelength $0.5 \mu \mathrm{m}, 12$ fringes were ... $45 \mathrm{~mm}$ apart, the height difference of the gauges is ____________ $\mu \mathrm{m}$. (Answer in integer)

An optical flat is used to measure the height difference between a reference slip gauge $\text{A}$ and a slip gauge $\text{B}$. Upon viewing via the optical flat using a ...

asked May 21, 2023

0 answers

0 votes

GATE Mechanical 2023 | Question: 47
Ignoring the small elastic region, the true stress $(\sigma)-\operatorname{true}$ strain $(\varepsilon)$ variation of a material beyond yielding follows the equation $\sigma=400 \varepsilon^{0.3} \mathrm{MPa}$. The engineering ultimate tensile strength value of this material is ____________ $\text{MPa}$. (Rounded off to one decimal place)

Ignoring the small elastic region, the true stress $(\sigma)-\operatorname{true}$ strain $(\varepsilon)$ variation of a material beyond yielding follows the equation $\si...

asked May 21, 2023

0 answers

0 votes

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)

asked May 21, 2023

0 answers

0 votes

GATE Mechanical 2023 | Question: 49
A cylindrical bar has a length $L=5 \mathrm{~m}$ and cross section area $S=10 \mathrm{~m}^{2}$. The bar is made of a linear elastic material with a density $\rho=2700 \mathrm{~kg} / \mathrm{m}^{3}$ ... J. (Rounded off to two decimal places) Take the acceleration due to gravity as $g=9.8 \mathrm{~m} / \mathrm{s}^{2}$.

A cylindrical bar has a length $L=5 \mathrm{~m}$ and cross section area $S=10 \mathrm{~m}^{2}$. The bar is made of a linear elastic material with a density $\rho=2700 \ma...

asked May 21, 2023

0 answers

0 votes

GATE Mechanical 2023 | Question: 50
A cylindrical transmission shaft of length $1.5 \mathrm{~m}$ and diameter $100 \mathrm{~mm}$ is made of a linear elastic material with a shear modulus of $80 \mathrm{GPa}$. While operating at $500 \mathrm{rpm}$, the angle of twist across ... transmitted by the shaft at this speed is ____________ $\mathrm{kW}$. (Rounded off to two decimal places) Take $\pi=3.14$

A cylindrical transmission shaft of length $1.5 \mathrm{~m}$ and diameter $100 \mathrm{~mm}$ is made of a linear elastic material with a shear modulus of $80 \mathrm{GPa}...

asked May 21, 2023

0 answers

0 votes

GATE Mechanical 2023 | Question: 51
Consider a mixture of two ideal gases, $\mathrm{X}$ and $\mathrm{Y}$, with molar masses $\bar{M}_{\mathrm{X}}=10 \mathrm{~kg} / \mathrm{kmol}$ and $\bar{M}_{\mathrm{Y}}=20 \mathrm{~kg} / \mathrm{kmol}$, respectively, in a container. The ... off to one decimal place) Assume that the universal gas constant is $8314 \mathrm{~J} \mathrm{kmol}^{-1} \mathrm{~K}^{-1}$.

Consider a mixture of two ideal gases, $\mathrm{X}$ and $\mathrm{Y}$, with molar masses $\bar{M}_{\mathrm{X}}=10 \mathrm{~kg} / \mathrm{kmol}$ and $\bar{M}_{\mathrm{Y}}=2...

asked May 21, 2023

0 answers

0 votes

GATE Mechanical 2023 | Question: 52
The velocity field of a certain two-dimensional flow is given by $\boldsymbol{V}(x, y)=k(x \hat{\imath}-y \hat{\jmath})$ where $k=2 \mathrm{~s}^{-1}$. The coordinates $x$ and $y$ are in meters. Assume gravitational effects to be negligible. If ... $(2 \mathrm{~m}, 2 \mathrm{~m})$ is __________ $\mathrm{kPa}$. (Answer in integer)

The velocity field of a certain two-dimensional flow is given by$\boldsymbol{V}(x, y)=k(x \hat{\imath}-y \hat{\jmath})$where $k=2 \mathrm{~s}^{-1}$. The coordinates $x$ a...

asked May 21, 2023

0 answers

0 votes

GATE Mechanical 2023 | Question: 53
Consider a unidirectional fluid flow with the velocity field given by $ V(x, y, z, t)=u(x, t) \hat{\imath} $ where $u(0, t)=1$. If the spatially homogeneous density field varies with time $t$ as $ \rho(t)=1+0.2 e^{-t} $ the value of $u(2,1)$ is ______________. (Rounded off to two decimal places) Assume all quantities to be dimensionless.

Consider a unidirectional fluid flow with the velocity field given by$$V(x, y, z, t)=u(x, t) \hat{\imath}$$where $u(0, t)=1$. If the spatially homogeneous density field v...

asked May 21, 2023

0 answers

0 votes

GATE Mechanical 2023 | Question: 54
The figure shows two fluids held by a hinged gate. The atmospheric pressure is $P_a=100 \mathrm{kPa}$. The moment per unit width about the base of the hinge is ____________ $\mathrm{kNm} / \mathrm{m}$. (Rounded off to one decimal place) Take the acceleration due to gravity to be $\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2$.

The figure shows two fluids held by a hinged gate. The atmospheric pressure is $P_a=100 \mathrm{kPa}$. The moment per unit width about the base of the hinge is __________...

asked May 21, 2023

0 answers

0 votes

GATE Mechanical 2023 | Question: 55
An explosion at time $t=0$ releases energy $\text{E}$ at the origin in a space filled with a gas of density $\rho$. Subsequently, a hemispherical blast wave propagates radially outwards as shown in the figure. Let $\text{R}$ denote the ... where $k$ is a dimensionless constant. The value of exponent $\text{a}$ is _____________. (Rounded off to one decimal place)

An explosion at time $t=0$ releases energy $\text{E}$ at the origin in a space filled with a gas of density $\rho$. Subsequently, a hemispherical blast wave propagates ra...

asked May 21, 2023