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GATE2016-2-7
A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is $2.0$ $1.0$ $0.5$ $0$
A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is$2.0$$1.0$$0.5$$0$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-2-6
A point mass having mass $M$ is moving with a velocity $V$ at an angle $\theta$ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass is $-2MV \cos\theta \hat{j}$ $2MV \sin\theta \hat{j}$ $2MV \cos\theta \hat{j}$ $-2MV \sin\theta \hat{j}$
A point mass having mass $M$ is moving with a velocity $V$ at an angle $\theta$ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set2
fluid-mechanics
+
–
0
answers
0
votes
GATE2016-2-5
Numerical integration using trapezoidal rule gives the best result for a single variable function, which is linear parabolic logarithmic hyperbolic
Numerical integration using trapezoidal rule gives the best result for a single variable function, which islinearparaboliclogarithmichyperbolic
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set2
numerical-methods
+
–
0
answers
0
votes
GATE2016-2-4
A function of the complex variable $z= x+iy$, is given as $f(x,y) =u(x,y) +iv(x,y)$ , where $u(x,y) = 2kxy$ and $ v(x,y) =x^2 −y^2$. The value of $k$, for which the function is analytic, is _____
A function of the complex variable $z= x+iy$, is given as $f(x,y) =u(x,y) +iv(x,y)$ , where $u(x,y) = 2kxy$ and $ v(x,y) =x^2 −y^2$. The value of $k$, for which the fun...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set2
numerical-answers
calculus
complex-variables
+
–
0
answers
0
votes
GATE2016-2-3
Laplace transform of $\cos( \omega t)$ is $\dfrac{s}{s^2+\omega ^2} \\$ $\dfrac{\omega }{s^2+\omega ^2} \\$ $\dfrac{s}{s^2-\omega ^2} \\$ $\dfrac{\omega }{s^2-\omega ^2}$
Laplace transform of $\cos( \omega t)$ is$\dfrac{s}{s^2+\omega ^2} \\$$\dfrac{\omega }{s^2+\omega ^2} \\$$\dfrac{s}{s^2-\omega ^2} \\$$\dfrac{\omega }{s^2-\omega ^2}$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2016-set2
differential-equations
laplace-transforms
+
–
0
answers
0
votes
GATE2016-2-2
The values of $x$ for which the function $f(x)=\dfrac{x^2-3x-4}{x^2+3x-4}$ is NOT continuous are $4$ and $−1$ $4$ and $1$ $-4$ and $1$ $−4$ and $−1$
The values of $x$ for which the function$$f(x)=\dfrac{x^2-3x-4}{x^2+3x-4}$$is NOT continuous are$4$ and $−1$$4$ and $1$$-4$ and $1$$−4$ and $−1$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set2
calculus
continuity-and-differentiability
+
–
0
answers
0
votes
GATE2016-2-1
The condition for which the eigenvalues of the matrix $A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$ are positive, is $k > 1/2$ $k > −2$ $k > 0$ $k < −1/2$
The condition for which the eigenvalues of the matrix$A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$are positive, is$k 1/2$$k −2$$k 0$$k < −1/2$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2016-set2
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 10
$P$, $Q$, $R$ and $S$ are working on a project. $Q$ can finish the task in $25$ days, working alone for $12$ hours a day. $R$ can finish the task in $50$ days, working alone for $12$ hours per day. $Q$ worked $12$ hours a day but took sick ... ratio of work done by $Q$ and $R$ after $7$ days from the start of the project? $10:11$ $11:10$ $20:21$ $21:20$
$P$, $Q$, $R$ and $S$ are working on a project. $Q$ can finish the task in $25$ days, working alone for $12$ hours a day. $R$ can finish the task in $50$ days, working al...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Quantitative Aptitude
gateme-2016-set1
numerical-ability
work-time
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 9
If $q^{-a}=\displaystyle{\frac{1}{r}}$ and $r^{-b}=\displaystyle{\frac{1}{s}}$ and $s^{-c}=\displaystyle{\frac{1}{q}}$, the value of $abc$ is $(rqs)^{-1}$ $0$ $1$ $r+q+s$
If $q^{-a}=\displaystyle{\frac{1}{r}}$ and $r^{-b}=\displaystyle{\frac{1}{s}}$ and $s^{-c}=\displaystyle{\frac{1}{q}}$, the value of $abc$ is$(rqs)^{-1}$$0$$1$$r+q+s$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Quantitative Aptitude
gateme-2016-set1
numerical-ability
algebra
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 8
Leela is older than her cousin Pavithra. Pavithra's brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements ... the oldest of the three. Shiva is a better chess player than Pavithra. Pavithra is the youngest of the three.
Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithr...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Analytical Aptitude
gateme-2016-set1
analytical-aptitude
logical-reasoning
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 7
In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong. Which of the following inference(s) is/are logically ... him last week. $(i)$ and $(ii)$ $(iii)$ and $(iv)$ $(iii)$ only $(iv)$ only
In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. How...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Verbal Aptitude
gateme-2016-set1
verbal-ability
verbal-reasoning
passage-reading
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 6
A person moving through a tuberculosis prone zone has a $50\%$ probability of becoming infected. However, only $30\%$ of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease? $15$ $33$ $35$ $37$
A person moving through a tuberculosis prone zone has a $50\%$ probability of becoming infected. However, only $30\%$ of infected people develop the disease. What percent...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Quantitative Aptitude
gateme-2016-set1
numerical-ability
percentage
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 5
Michael lives $10$ $km$ away from where I live. Ahmed lives $5$ $km$ away and Susan lives $7$ $km$ away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in $km$) at which I live from Arun’s place? $3.00$ $4.99$ $6.02$ $7.01$
Michael lives $10$ $km$ away from where I live. Ahmed lives $5$ $km$ away and Susan lives $7$ $km$ away from where I live. Arun is farther away than Ahmed but closer than...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Quantitative Aptitude
gateme-2016-set1
numerical-ability
speed-time-distance
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 4
In a huge pile of apples and oranges, both ripe and unripe mixed together, $15\%$ are unripe fruits. Of the unripe fruits, $45\%$ are apples. Of the ripe ones, $66\%$ are oranges. If the pile contains a total of $5692000$ fruits, how many of them are apples? $2029198$ $2467482$ $2789080$ $3577422$
In a huge pile of apples and oranges, both ripe and unripe mixed together, $15\%$ are unripe fruits. Of the unripe fruits, $45\%$ are apples. Of the ripe ones, $66\%$ are...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Quantitative Aptitude
gateme-2016-set1
numerical-ability
percentage
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 3
Despite the new medicine’s ______________ in treating diabetes, it is not ______________widely. effectiveness --- prescribed availability --- used prescription --- available acceptance --- proscribed
Despite the new medicine’s ______________ in treating diabetes, it is not ______________widely.effectiveness - prescribedavailability - usedprescription - availablea...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Verbal Aptitude
gateme-2016-set1
verbal-ability
word-pairs
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 2
The policeman asked the victim of a theft, “What did you __________?” loose lose loss louse
The policeman asked the victim of a theft, “What did you __________?”looseloselosslouse
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Verbal Aptitude
gateme-2016-set1
verbal-ability
english-grammar
+
–
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 1
Which of the following is CORRECT with respect to grammar and usage? Mount Everest is ____________. the highest peak in the world highest peak in the world one of highest peak in the world one of the highest peak in the world
Which of the following is CORRECT with respect to grammar and usage?Mount Everest is ____________.the highest peak in the worldhighest peak in the worldone of highest pea...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Verbal Aptitude
gateme-2016-set1
verbal-ability
english-grammar
+
–
0
answers
0
votes
GATE2016-1-55
Maximize $Z = 15X_1 + 20X_2$ subject to $\begin{array}{l} 12X_1 + 4X_2 \geq 36 \\ 12X_1 − 6X_2 \leq 24 \\ X_1, X_2 \geq 0 \end{array}$ The above linear programming problem has infeasible solution unbounded solution alternative optimum solutions degenerate solution
Maximize $Z = 15X_1 + 20X_2$ subject to $$\begin{array}{l} 12X_1 + 4X_2 \geq 36 \\ 12X_1 − 6X_2 \leq 24 \\ X_1, X_2 \geq 0 \end{array}$$The above linear programming pr...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set1
numerical-methods
linear-programming
+
–
0
answers
0
votes
GATE2016-1-54
The annual demand for an item is $10,000$ units. The unit cost is $Rs$. $100$ and inventory carrying charges are $14.4\%$ of the unit cost per annum. The cost of one procurement is $Rs$. $2000$. The time between two consecutive orders to meet the above demand is _______ month($s$).
The annual demand for an item is $10,000$ units. The unit cost is $Rs$. $100$ and inventory carrying charges are $14.4\%$ of the unit cost per annum. The cost of one proc...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
+
–
0
answers
0
votes
GATE2016-1-53
The figure below represents a triangle $PQR$ with initial coordinates of the vertices as $P(1,3)$, $Q(4,5)$ and $R(5,3.5)$. The triangle is rotated in the $X$-$Y$ plane about the vertex $P$ by angle $\theta$ in clockwise direction. If sin$\theta$ = $0.6$ and cos$\theta$ = $0.8$, the new coordinates of the vertex $Q$ are $(4.6, 2.8)$ $(3.2, 4.6)$ $(7.9, 5.5)$ $(5.5, 7.9)$
The figure below represents a triangle $PQR$ with initial coordinates of the vertices as $P(1,3)$, $Q(4,5)$ and $R(5,3.5)$. The triangle is rotated in the $X$-$Y$ plane a...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set1
calculus
vector-identities
+
–
0
answers
0
votes
GATE2016-1-52
A $300$ $mm$ thick slab is being cold rolled using roll of $600$ $mm$ diameter. If the coefficient of friction is $0.08$, the maximum possible reduction (in $mm$) is __________
A $300$ $mm$ thick slab is being cold rolled using roll of $600$ $mm$ diameter. If the coefficient of friction is $0.08$, the maximum possible reduction (in $mm$) is ____...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE2016-1-51
A cylindrical job with diameter of $200$ $mm$ and height of $100$ $mm$ is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in $mm$) is $150$ $200$ $100$ $125$
A cylindrical job with diameter of $200$ $mm$ and height of $100$ $mm$ is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical r...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Mechanics of Materials
gateme-2016-set1
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2016-1-50
The tool life equation for HSS tool is $VT^{0.14}f^{0.7}d^{0.4}$ = constant. The tool life $(T)$ of $30 \: min$ is obtained using the following cutting conditions: $V=45\:m/min$, $f=0.35 \: mm$, $d=2.0 \: mm$ If speed $(V)$, feed $(f)$ and depth of cut $(d)$ are increased individually by $25\%$, the tool life (in $min$) is $0.15$ $1.06$ $22.50$ $30.0$
The tool life equation for HSS tool is $VT^{0.14}f^{0.7}d^{0.4}$ = constant. The tool life $(T)$ of $30 \: min$ is obtained using the following cutting conditions:$V=45\:...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set1
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
tool-life-and-wear
+
–
0
answers
0
votes
GATE2016-1-49
Heat is removed from a molten metal of mass $2$ $kg$ at a constant rate of $10$ $kW$ till it is completely solidified.The cooling curve is shown in the figure Assuming uniform temperature throughout the volume of the metal during solidification,the latent heat of fusion of metal ( in $kJ$/$kg$) is _________
Heat is removed from a molten metal of mass $2$ $kg$ at a constant rate of $10$ $kW$ till it is completely solidified.The cooling curve is shown in the figureAssuming uni...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set1
numerical
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2016-1-48
A hypothetical engineering stress-strain curve shown in the figure has three straight lines $PQ, QR, RS$ with coordinates P$(0,0)$, Q$(0.2,100)$, R$(0.6,140)$ and S$(0.8,130)$. $'Q'$ is the yield point, $'R'$ is the UTS point and $'S'$ the fracture point. The toughness of the material (in $MJ/m^3$) is __________
A hypothetical engineering stress-strain curve shown in the figure has three straight lines $PQ, QR, RS$ with coordinates P$(0,0)$, Q$(0.2,100)$, R$(0.6,140)$ and S$(0.8,...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-1-47
In a steam power plant operating on an ideal Rankine cycle, superheated steam enters the turbine at $3 \: MPa$ and $350^ \circ C$. The condenser pressure is $75$ $kPa$. The thermal efficiency of the cycle is ________ percent. Given data: For saturated liquid, at $P=75 \:kPa$ ... $T=350^\circ C$ (superheated steam), $h=3115.3 \: kJ/kg$, $s=6.7428 \: kJ/kg-K$
In a steam power plant operating on an ideal Rankine cycle, superheated steam enters the turbine at$3 \: MPa$ and $350^ \circ C$. The condenser pressure is $75$ $kPa$. Th...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applications
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
+
–
0
answers
0
votes
GATE2016-1-46
An ideal gas undergoes a reversible process in which the pressure varies linearly with volume. The conditions at the start (subscript $1$) and at the end (subscript $2$) of the process with usual notation are: $p_1 = 100 \: kPa$, $V_1 = 0.2 \: m^3$ ... $R=0.275\:kJ/kg-K$. The magnitude of the work required for the process (in $kJ$) is ________
An ideal gas undergoes a reversible process in which the pressure varies linearly with volume. The conditions at the start (subscript $1$) and at the end (subscript $2$) ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applications
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
+
–
0
answers
0
votes
GATE2016-1-45
For water at $25^\circ C$, $dp_s/dT_s = 0.189 \: kPa/K$ ($p_s$ is the saturation pressure in $kPa$ and $T_s$ is the saturation temperature in $K$) and the specific volume of dry saturated vapour is $43.38 \: m^3/kg$. Assume that the ... vapour. Using the Clausius-Clapeyron equation, an estimate of the enthalpy of evaporation of water at $25^\circ C$ (in $kJ / kg$) is __________
For water at $25^\circ C$, $dp_s/dT_s = 0.189 \: kPa/K$ ($p_s$ is the saturation pressure in $kPa$ and $T_s$ is the saturation temperature in $K$) and the specific volum...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2016-1-44
A fluid (Prandtl number, $P_r=1$) at $500\:K$ flows over a flat plate of $1.5\:m$ length, maintained at $300\: K$. The velocity of the fluid is $10 \: m/s$. Assuming kinematic viscosity,$v=30\times 10^{-6}$ $m^2/s$, the thermal boundary layer thickness (in $mm$) at $0.5 \:m$ from the leading edge is __________
A fluid (Prandtl number, $P_r=1$) at $500\:K$ flows over a flat plate of $1.5\:m$ length, maintained at $300\: K$. The velocity of the fluid is $10 \: m/s$. Assuming kine...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2016-1-43
An infinitely long furnace of $0.5\:m\times 0. 4 \:m$ cross-section is shown in the figure below. Consider all surfaces of the furnace to be black. The top and bottom walls are maintained at temperature $T_1=T_3=927^\circ C$ ... loss or gain on side $1$ is_________ $W/m$. Stefan-Boltzmann constant = $5.67 \times 10^{-8}$ $W/m^2-K^4$
An infinitely long furnace of $0.5\:m\times 0. 4 \:m$ cross-section is shown in the figure below. Consider all surfaces of the furnace to be black. The top and bottom wal...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
heat-transfer-correlations-for-flow-over-flat-plates-and-through-pipes
+
–
0
answers
0
votes
GATE2016-1-42
A steel ball of $10\:mm$ diameter at $1000\:K$ is required to be cooled to $350\:K$ by immersing it in a water environment at $300\:K$. The convective heat transfer coefficient is $1000\:W/m^2-K$. Thermal conductivity of steel is $40\:W/m-K$. The time constant for the cooling process $\tau$ is $16\:s$. The time required (in $s$) to reach the final temperature is __________
A steel ball of $10\:mm$ diameter at $1000\:K$ is required to be cooled to $350\:K$ by immersing it in a water environment at $300\:K$. The convective heat transfer coeff...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE2016-1-41
A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is $U_o$. The velocity profile at the inlet $a-b$ is uniform, while that at a downstream location $c-d$ ... rate, $\dot{m}_{bd}$ leaving through the horizontal section $b-d$ to that entering through the vertical section $a-b$ is ___________
A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is $U_o$. The velocity profile at the inlet $a-b...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Heat Transfer
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
thermal-boundary-layer
+
–
0
answers
0
votes
GATE2016-1-40
Oil (kinematic viscosity, $v_{\text{oil}}=1.0\times 10^{-5} \:m^2/s$) flows through a pipe of $0.5$ $m$ diameter with a velocity of $10$ $m/s$. Water (kinematic viscosity, $v_w=0.89\times 10^{-6}\:m^2/s$) is flowing through a model pipe of diameter $20 \:mm$. For satisfying the dynamic similarity, the velocity of water (in $m/s$) is __________
Oil (kinematic viscosity, $v_{\text{oil}}=1.0\times 10^{-5} \:m^2/s$) flows through a pipe of $0.5$ $m$ diameter with a velocity of $10$ $m/s$. Water (kinematic viscosity...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Fluid Mechanics
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
+
–
0
answers
0
votes
GATE2016-1-39
An inverted U-tube manometer is used to measure the pressure difference between two pipes $A$ and $B$ ,as shown in figure.pipe $A$ is carrying oil (specific gravity$=0.8$ ) and pipe $B$ is carrying water.The densities of air and water are $1.16 kg/m^3$ ... $A$ and $B$ is ________$kPa$. Acceleration due to gravity $g =10\:m/s^2$.
An inverted U-tube manometer is used to measure the pressure difference between two pipes $A$ and $B$ ,as shown in figure.pipe $A$ is carrying oil (specific gravity$=0.8$...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
+
–
0
answers
0
votes
GATE2016-1-38
The principal stresses at a point inside a solid object are $\sigma _1$ = $100$ $MPa$, $\sigma _2$ = $100$ $MPa$ and $\sigma _3$ = $0$ $MPa$. The yield strength of the material is $200$ $MPa$. The factor of safety calculated using Tresca (maximum shear stress) theory is ... one of the following relations is TRUE? $n_T=(\sqrt{3}/2)n_V$ $n_T=(\sqrt{3})n_V$ $n_T=n_V$ $n_V=(\sqrt{3})n_T$
The principal stresses at a point inside a solid object are $\sigma _1$ = $100$ $MPa$, $\sigma _2$ = $100$ $MPa$ and $\sigma _3$ = $0$ $MPa$. The yield strength of the ma...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-1-37
A solid disc with radius $a$ is connected to a spring at a point $d$ above the center of the disc. The other end of the spring is fixed to the vertical wall. The disc is free to roll without slipping on the ground. The mass of the disc is $M$ and the spring constant is $K$. The ... $\displaystyle{\sqrt{\frac{2K(a+d)^2}{Ma^2}}} \\$ $\displaystyle{\sqrt{\frac{K(a+d)^2}{Ma^2}}}$
A solid disc with radius $a$ is connected to a spring at a point $d$ above the center of the disc. The other end of the spring is fixed to the vertical wall. The disc is ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
applied-mechanics-and-design
machine-design
springs
+
–
0
answers
0
votes
GATE2016-1-36
In the gear train shown, gear $3$ is carried on arm $5$. Gear $3$ meshes with gear $2$ and gear $4$. The number of teeth on gear $2$, $3$, and $4$ are $60$, $20$, and $100$, respectively. If gear $2$ is fixed and gear $4$ ... the counterclockwise direction, the angular speed of arm $5$ (in $rpm$) is $166.7$ counterclockwise $166.7$ clockwise $62.5$ counterclockwise $62.5$ clockwise
In the gear train shown, gear $3$ is carried on arm $5$. Gear $3$ meshes with gear $2$ and gear $4$. The number of teeth on gear $2$, $3$, and $4$ are $60$, $20$, and $10...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
+
–
0
answers
0
votes
GATE2016-1-35
A slider crank mechanism with crank radius $200\:mm$ and connecting rod length $800\:mm$ is shown. The crank is rotating at $600\:rpm$ in the counterclockwise direction. In the configuration shown, the crank makes an angle of $90^\circ$ with the sliding ... $kN-m$) is __________
A slider crank mechanism with crank radius $200\:mm$ and connecting rod length $800\:mm$ is shown. The crank is rotating at $600\:rpm$ in the counterclockwise direction. ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
machine-design
+
–
0
answers
0
votes
GATE2016-1-34
A simply-supported beam of length $3L$ is subjected to the loading shown in the figure. It is given that $P=1\: N$, $L=1\:m$ and Young's modulus $E=200\:GPa$. The cross-section is a square with dimension $10\:mm\times10\:mm$. The ... at a distance of $1.5L$ from the left end is _____________ (Indicate compressive stress by a negative sign and tensile stress by a positive sign.)
A simply-supported beam of length $3L$ is subjected to the loading shown in the figure.It is given that $P=1\: N$, $L=1\:m$ and Young’s modulus $E=200\:GPa$. The cross-...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
+
–
0
answers
0
votes
GATE2016-1-33
The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in $mm^4$) of this cross-section about its base is ________
The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in $mm^4$) of this cross-section about its base is ________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
bending-and-shear-stress
+
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