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Most answered questions in Applied Mechanics and Design

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GATE2018-2-25
A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved portion), the total distance travelled (in $m$) by the ball is _____ (correct to two decimal places)
A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring t...
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GATE2020-ME-2: 5
An attempt is made to pull a roller of weight $W$ over a curb (step) by applying a horizontal force $F$ as shown in the figure. The coefficient of static friction between the roller and the ground (including the edge of the step) is $\mu$ Identify the correct free body diagram (FBD) of the roller when the roller is just about to climb over the step.
An attempt is made to pull a roller of weight $W$ over a curb (step) by applying a horizontal force $F$ as shown in the figure. The coefficient of static friction between...
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GATE2019 ME-2: 39
A four bar mechanism is shown in the figure. The link numbers are mentioned near the links. Input link $2$ is rotating anticlockwise with a constant angular speed $\omega_2$. Length of different links are: $O_2 O_4=O_2A=L,$$AB=O_4B=\sqrt{2}L$ The magnitude of ... $O_2O_4$ as shown. The ratio $\frac{\omega_4}{\omega_2}$ is _________ (round off to two decimal places).
A four bar mechanism is shown in the figure. The link numbers are mentioned near the links. Input link $2$ is rotating anticlockwise with a constant angular speed $\omega...
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GATE2018-2-20
A hollow circular shaft of inner radius $10 \: mm$ outer radius $20 \: mm$ length $1 \: m$ is to be used as a torsional spring. If the shear modulus of the material of the shaft is $150 \: GPa$, the torsional stiffness of the shaft (in $kN-m/rad$) is ________ (correct to two decimal places).
A hollow circular shaft of inner radius $10 \: mm$ outer radius $20 \: mm$ length $1 \: m$ is to be used as a torsional spring. If the shear modulus of the material of th...
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GATE2018-2-21
Fatigue life of a material for a fully reversed loading condition is estimated from $\sigma_a=1100N^{-0.15}$, where $\sigma_a$ is teh stress amplitude in $MPa$ and $N$ is the failure life in cycles. The maximum allowable stress amplitude (in $MPa$) for a life of $1 \times 10^5$ cycles under the same loading condition is ________ (correct to two decimal places).
Fatigue life of a material for a fully reversed loading condition is estimated from $$\sigma_a=1100N^{-0.15}$$, where $\sigma_a$ is teh stress amplitude in $MPa$ and $N$ ...
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GATE2018-1-17
The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are $3, 3$ $3, 12$ $4, 12$ $4, 48$
The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are$3, 3$$3, 12$$4, 12$$4, 48$
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GATE2017 ME-2: 50
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is $-0.5$ $-0.69$ $-0.75$ $-1.0$
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tens...
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GATE2017 ME-2: 21
The crystal structure of aluminium is. body-centered cubic. face-centered cubic. close-packed hexagonal. body-centered tetragonal.
The crystal structure of aluminium is.body-centered cubic.face-centered cubic.close-packed hexagonal.body-centered tetragonal.
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GATE2017 ME-1: 25
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to Yield stress Proportional limit Maximum stress Fracture stress
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers toYield stressProportional limitMaximum stressFracture stress
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GATE2017 ME-1: 13
The Poisson's ratio for a perfectly incompressible linear elastic material is $1$ $0.5$ $0$ Infinity
The Poisson's ratio for a perfectly incompressible linear elastic material is$1$$0.5$$0$Infinity
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GATE2015-2-5
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0.5$. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ___________
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0...
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GATE2020-ME-2: 7
The equation of motion of a spring-mass-damper system is given by $\dfrac{d^2x}{dt^2}+3 \dfrac{dx}{dt} +9x = 10 \sin(5t)$ The damping factor for the system is $0.25$ $0.5$ $2$ $3$
The equation of motion of a spring-mass-damper system is given by $$\dfrac{d^2x}{dt^2}+3 \dfrac{dx}{dt} +9x = 10 \sin(5t)$$The damping factor for the system is$0.25$$0.5$...
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GATE2020-ME-2: 8
The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is $1$ $2$ $3$ $4$
The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is$1$$2$$3$$4$
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GATE2020-ME-2: 9
The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, is electrochemical machining electrical discharge machining ultrasonic machining abrasive jet machining
The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, iselectrochemical machiningelectrical discharge machiningultrason...
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GATE2020-ME-1: 8
A four bar mechanism is shown below. For the mechanism to be a crank-rocker mechanism, the length of the link $PQ$ can be $80\: mm$ $200\: mm$ $300\: mm$ $350\: mm$
A four bar mechanism is shown below. For the mechanism to be a crank-rocker mechanism, the length of the link $PQ$ can be$80\: mm$$200\: mm$$300\: mm$$350\: mm$
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GATE2020-ME-1: 41
The magnitude of reaction force at joint $C$ of the hinge-beam shown in the figure is __________$kN$ (round off to $2$ decimal places).
The magnitude of reaction force at joint $C$ of the hinge-beam shown in the figure is __________$kN$ (round off to $2$ decimal places).
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GATE2019 ME-2: 7
A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\dfrac{\pi D}{T} \\$ $\dfrac{T}{D} \\$ $\dfrac{D}{T} \\$ $\dfrac{2 \pi D}{T}$
A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\dfrac{\pi D}{T} \\$$\dfrac{T}{D} \\$$\dfrac{D}{T} \\$$\dfrac{2 \pi ...
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GATE2019 ME-2: 20
The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N
The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N
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