Recent questions tagged machine-design

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GATE2020-ME-2: 10
Two plates, each of $6$ mm thickness, are to be butt-welded. Consider the following processes and select the correct sequence in increasing order of size of the heat affected zone. Arc welding MIG welding Laser beam welding Submerged arc welding $1-4-2-3$ $3-4-2-1$ $4-3-2-1$ $3-2-4-1$

Two plates, each of $6$ mm thickness, are to be butt-welded. Consider the following processes and select the correct sequence in increasing order of size of the heat affe...

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go_editor asked Sep 18, 2020

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GATE2020-ME-1: 31
A rigid mass-less rod of length $L$ is connected to a disc (pulley) of mass $m$ and radius $r = L/4$ through a friction-less revolute joint. The other end of that rod is attached to a wall through a friction-less hinge. A spring of stiffness $2k$ is attached to the rod at its mid-span ... $\sqrt{3}\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{k}{m}}$

A rigid mass-less rod of length $L$ is connected to a disc (pulley) of mass $m$ and radius $r = L/4$ through a friction-less revolute joint. The other end of that rod is ...

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go_editor asked Feb 19, 2020

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GATE2020-ME-1: 37
In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters $250\:mm$ and $50\:mm$, respectively. An axial force $F_{1}$ is needed to transmit a torque by a new clutch. However, to transmit the same ... coefficient of friction does not change, then the ratio $F_{1}/F_{2}$ is _________ (round off to $2$ decimal places).

In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters $250\:mm$ and $50\:mm$, respectively. An axial for...

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go_editor asked Feb 19, 2020

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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 ...

28.5k points

Arjun asked Feb 9, 2019

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GATE2019 ME-2: 32
A slender uniform rigid bar of mass $m$ is hinged at $O$ and supported by two springs, with stiffness, $3k$ and $k$ and a damper with damping coefficient $c$, as shown in the figure. For the system to be critically damped, the ratio $c/\sqrt{km}$ should be $2$ $4$ $2 \sqrt{7}$ $4 \sqrt{7}$

A slender uniform rigid bar of mass $m$ is hinged at $O$ and supported by two springs, with stiffness, $3k$ and $k$ and a damper with damping coefficient $c$, as shown in...

28.5k points

Arjun asked Feb 9, 2019

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GATE2019 ME-2: 41
A uniform disc with radius $r$ and a mass $m$ kg is mounted centrally on a horizontal axle of negligible mass and length of $1.5r$. The disc spins counter-clockwise about the axle with angular speed $\omega$, when viewed from the right-hand side bearing, ... $g=10 m/s^2$, the ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is ______

A uniform disc with radius $r$ and a mass $m$ kg is mounted centrally on a horizontal axle of negligible mass and length of $1.5r$. The disc spins counter-clockwise about...

28.5k points

Arjun asked Feb 9, 2019

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GATE2019 ME-2: 42
A short shoe external drum brake is shown in the figure. The diameter of the brake drum is $500 \: mm$. The dimensions $a=1000 \: mm, \: b=500 \: mm$ and $c=200 \: mm$. The coefficient of friction between the drum and the shoe is $0.35$. ... in the figure. The drum is rotating anti-clockwise. The braking torque on the drum is ______ $N \cdot m$ (round off to two decimal places).

A short shoe external drum brake is shown in the figure. The diameter of the brake drum is $500 \: mm$. The dimensions $a=1000 \: mm, \: b=500 \: mm$ and $c=200 \: mm$. T...

28.5k points

Arjun asked Feb 9, 2019

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GATE2019 ME-1: 6
The natural frequencies corresponding to the spring-mass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. The ratio $\dfrac{\omega_I}{\omega_{II}}$ is $\dfrac{1}{4} \\$ $\dfrac{1}{2} \\$ $2 \\$ $4$

The natural frequencies corresponding to the spring-mass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. The ratio $\dfrac{\omega_I}{\omega_{II}}$ is...

28.5k points

Arjun asked Feb 9, 2019

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GATE2019 ME-1: 7
A spur gear with $20^{\circ}$ full depth teeth is transmitting $20 \: kW$ at $200 \: rad/s$. The pitch circle diameter of the gear is $100 \: mm$. The magnitude of the force applied on the gear in the radial direction is $0.36 \: kN$ $0.73 \: kN$ $1.39 \: kN$ $2.78 \: kN$

A spur gear with $20^{\circ}$ full depth teeth is transmitting $20 \: kW$ at $200 \: rad/s$. The pitch circle diameter of the gear is $100 \: mm$. The magnitude of the fo...

28.5k points

Arjun asked Feb 9, 2019

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GATE2019 ME-1: 44
A single block brake with a short shoe and torque capacity of $250 \: N \cdot m$ is shown. The cylindrical brake drum rotates anticlockwise at $100 \: rpm$ and the coefficient of friction is $0.25$. The value of $a$ in mm (round off to one decimal place), such that the minimum actuating force $P$ is $2000 \: N$, is ___________

A single block brake with a short shoe and torque capacity of $250 \: N \cdot m$ is shown. The cylindrical brake drum rotates anticlockwise at $100 \: rpm$ and the coeffi...

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Arjun asked Feb 9, 2019

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GATE ME 2012 | Question: 44
A force of $400$ N is applied to the brake drum of $0.5$ m diameter in a band-brake system as shown in the figure, where the wrapping angle is $180^{\circ}$. If the coefficient of friction between the drum and the band is $0.25$, the braking torque applied, in N.m is $100.6$ $54.4$ $22.1$ $15.7$

A force of $400$ N is applied to the brake drum of $0.5$ m diameter in a band-brake system as shown in the figure, where the wrapping angle is $180^{\circ}$. If the coeff...

1.5k points

Andrijana3306 asked Mar 19, 2018

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GATE ME 2012 | Question: 32
A fillet welded joint is subjected to transverse loading $F$ as shown in the figure. Both legs of the fillets are of $10$ mm size and the weld length is $30$ mm. If the allowable shear stress of the weld is $94$ MPa, considering the minimum throat area of the weld, the maximum allowable transverse load in kN is $14.44$ $17.92$ $19.93$ $22.16$

A fillet welded joint is subjected to transverse loading $F$ as shown in the figure. Both legs of the fillets are of $10$ mm size and the weld length is $30$ mm. If the a...

1.5k points

Andrijana3306 asked Mar 19, 2018

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GATE2018-1-32
A self-aligning ball bearing has a basic dynamic load rating $(C_{10}$, for $10^6$ revolutions) of $35$ kN. If the equivalent radial load on the bearing is $45$ kN, the expected life (in $10^6$ revolutions) is below $0.5$ $0.5$ to $0.8$ $0.8$ to $1.0$ above $1.0$

A self-aligning ball bearing has a basic dynamic load rating $(C_{10}$, for $10^6$ revolutions) of $35$ kN. If the equivalent radial load on the bearing is $45$ kN, the e...

28.5k points

Arjun asked Feb 17, 2018

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GATE2018-1-21
If the wire diameter of a compressive helical spring is increased by $2 \%$, the change in spring stiffness (in $\%$) is _____ (correct to two decimal places)

If the wire diameter of a compressive helical spring is increased by $2 \%$, the change in spring stiffness (in $\%$) is _____ (correct to two decimal places)

28.5k points

Arjun asked Feb 17, 2018

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GATE2018-1-8
For an Oldham coupling used between two shafts, which among the following statements are correct? Torsional load is transferred along shaft axis A velocity ratio of $1:2$ between shafts is obtained without using gears Bending load id transferred transverse to shaft axis Rotation is transferred along shaft axis I and III I and IV II and III II and IV

For an Oldham coupling used between two shafts, which among the following statements are correct?Torsional load is transferred along shaft axisA velocity ratio of $1:2$ b...

28.5k points

Arjun asked Feb 17, 2018

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GATE2018-1-7
The equation of motion for a spring-mass system excited by a harmonic force is $M\ddot{x} + K x = F \cos(\omega t)$, where $M$ is the mass, $K$ is the spring stiffness, $F$ is the force amplitude and $\omega$ is the angular frequency of excitation. Resonance occurs when $\omega$ is equal ... $2 \pi \sqrt{\dfrac{K}{M}} \\$ $\sqrt{\dfrac{K}{M}}$

The equation of motion for a spring-mass system excited by a harmonic force is $M\ddot{x} + K x = F \cos(\omega t)$, where $M$ is the mass, $K$ is the spring stiffness, $...

28.5k points

Arjun asked Feb 17, 2018

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GATE2017 ME-2: 35
A steel plate, connected to a fixed channel using three identical bolts $A, B$ and $C$, carries a load of $6$ kN as shown in the figure. Considering the effect of direct load and moment, the magnitude of resultant shear force (in kN) on bolt $C$ is $13$ $15$ $17$ $30$

A steel plate, connected to a fixed channel using three identical bolts $A, B$ and $C$, carries a load of $6$ kN as shown in the figure. Considering the effect of direct ...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-2: 34
Three masses are connected to a rotating shaft supported on bearings $A$ and $B$ ... and for a shaft angular speed of $1000$ radian/s, the magnitude of the bearing reaction (in N) at location $B$ is ___________.

Three masses are connected to a rotating shaft supported on bearings $A$ and $B$ as shown in the figure. The system is in a space where the gravitational effect is absent...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-2: 33
A helical compression spring made of a wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is $24$MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is __________.

A helical compression spring made of a wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wir...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-2: 31
The radius of gyration of a compound pendulum about the point of suspension is $100$ mm. The distance between the point of suspension and the centre of mass is $250$ mm. Considering the acceleration due to gravity as $9.81 m/s^{2}$, the natural frequency (in radian/s) of the compound pendulum is ________.

The radius of gyration of a compound pendulum about the point of suspension is $100$ mm. The distance between the point of suspension and the centre of mass is $250$ mm. ...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-2: 30
Block $2$ slides outward on link $1$ at a uniform velocity of $6$ m/s as shown in the figure. Link $1$ is rotating at a constant angular velocity of $20$ radian/s counterclockwise. The magnitude of the total acceleration (in $m/s^{2}$) of point $P$ of the block with respect to fixed point $O$ is __________.

Block $2$ slides outward on link $1$ at a uniform velocity of $6$ m/s as shown in the figure. Link $1$ is rotating at a constant angular velocity of $20$ radian/s counter...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-2: 12
In a slider-crank mechanism, the lengths of the crank and the connecting rod are $100$ mm and $160$ mm, respectively. The crank is rotating with an angular velocity of $10$ radian/s counter-clockwise. The magnitude of linear velocity (in m/s) of the piston at the instant corresponding to the configuration shown in the figure is ________.

In a slider-crank mechanism, the lengths of the crank and the connecting rod are $100$ mm and $160$ mm, respectively. The crank is rotating with an angular velocity of $1...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-2: 6
A mass $m$ is attached to two identical springs having spring constant $k$ as shown in the figure. The natural frequency $\omega$ of this single degree of freedom system is $\sqrt{\dfrac{2k}{m}} \\$ $\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{k}{2m}} \\ $ $\sqrt{\dfrac{4k}{m}}$

A mass $m$ is attached to two identical springs having spring constant $k$ as shown in the figure. The natural frequency $\omega$ of this single degree of freedom system ...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-1: 47
For an inline slider-crank mechanism, the lengths of the crank and connecting rod are $3$ m and $4$ m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is $1$ m/s, the magnitude of angular velocity (upto $3$ decimal points accuracy) of the crank is ________ radian/s

For an inline slider-crank mechanism, the lengths of the crank and connecting rod are $3$ m and $4$ m, respectively. At the instant when the connecting rod is perpendicul...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-1: 46
A thin uniform rigid bar of Length $L$ and mass $M$ is hinged at point $O$, located at a distance of $\dfrac{L}{3}$ from one of its ends. The bar is further supported using springs, each of stiffness $k$, located at the two ends. A particle of mass $m=\dfrac{M}{4}$ is fixed at ... $\sqrt{\dfrac{5k}{2M}} \\$ $\sqrt{\dfrac{3k}{2M}} \\$ $\sqrt{\dfrac{3k}{M}}$

A thin uniform rigid bar of Length $L$ and mass $M$ is hinged at point $O$, located at a distance of $\dfrac{L}{3}$ from one of its ends. The bar is further supported usi...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-1: 20
Cylindrical pins of diameter $15^{\pm0.020}$ mm are being produced on a machine. Statistical quality control tests show a mean of $14.995$ mm and standard deviation of $0.004$ mm. The process capability index $Cp$ is $0.833$ $1.667$ $3.333$ $3.750$

Cylindrical pins of diameter $15^{\pm0.020}$ mm are being produced on a machine. Statistical quality control tests show a mean of $14.995$ mm and standard deviation of $0...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-1: 19
Consider the schematic of a riveted lap joint subjected to tensile load $F$, as shown below. Let $d$ be the diameter of the rivets, and $S_{f}$ be the maximum permissible tensile stress in the plates. What should be the minimum value for the thickness of the plates to guard against tensile failure of ... $\dfrac{F}{S_{f}W} \\$ $\dfrac{F}{S_{f}(W-d)} \\$ $\dfrac{2F}{S_{f}W}$

Consider the schematic of a riveted lap joint subjected to tensile load $F$, as shown below. Let $d$ be the diameter of the rivets, and $S_{f}$ be the maximum permissible...

28.5k points

Arjun asked Feb 26, 2017

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GATE2017 ME-1: 18
The damping ratio for a viscously damped spring-mass system, governed by the relationship $m \dfrac{d^{2}x}{dt^{2}}+c\dfrac{dx}{dt}+kx=F(t)$, is given by $\sqrt{\dfrac{c}{mk}} \\$ $\dfrac{c}{2\sqrt{km}} \\$ $\dfrac{c}{\sqrt{km}} \\$ $\sqrt{\dfrac{c}{2mk}}$

The damping ratio for a viscously damped spring-mass system, governed by the relationship $m \dfrac{d^{2}x}{dt^{2}}+c\dfrac{dx}{dt}+kx=F(t)$, is given by$\sqrt{\dfrac{c}{...

28.5k points

Arjun asked Feb 26, 2017

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GATE2016-3-38
A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $25$ $mm^2$. A torque $T$ = $200N-m$ is acting on the joint. Neglecting friction due to clamping force, maximum shear stress in a bolt is ______ $MPa$.

A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $25$ $mm^2$. A torque $T$ = $200N-m$ is acting on the joint. Neglectin...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-3-37
A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of $\sqrt{\dfrac{3k}{m}}$, the ratio of the amplitude of steady state response to the static deflection of the spring is __________

A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of $\sqrt{\dfrac{3k}{m}}$, the ratio of ...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-3-12
Which of the bearings given below SHOULD NOT be subjected to a thrust load? Deep groove ball bearing Angular contact ball bearing Cylindrical (straight) roller bearing Single row tapered roller bearing

Which of the bearings given below SHOULD NOT be subjected to a thrust load?Deep groove ball bearingAngular contact ball bearingCylindrical (straight) roller bearingSingle...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-3-11
The static deflection of a spring under gravity, when a mass of $1 \:kg$ is suspended from it, is $1 \: mm$. Assume the acceleration due to gravity $g =10 \: m/s^2$. The natural frequency of this spring-mass system (in $rad/s$) is_____________

The static deflection of a spring under gravity, when a mass of $1 \:kg$ is suspended from it, is $1 \: mm$. Assume the acceleration due to gravity $g =10 \: m/s^2$. The ...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-2-37
The system shown in the figure consists of block A of mass $5$ $kg$ connected to a spring through a massless rope passing over pulley B of radius $r$ and mass $20$ $kg$. The spring constant $k$ is $1500$ $N/m$. If there is no slipping of the rope over the pulley, the natural frequency of the system is_____________ $rad/s$.

The system shown in the figure consists of block A of mass $5$ $kg$ connected to a spring through a massless rope passing over pulley B of radius $r$ and mass $20$ $kg$. ...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-2-36
The rod $AB$, of length $1$ $m$, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along $QP$ and $QR$. If the velocity $VA$ of the slider at $A$ is $2$ $m/s$, the velocity of the midpoint of the rod at this instant is ___________ $m/s$.

The rod $AB$, of length $1$ $m$, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along $QP$ and $QR$. If the velocity $VA$...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-2-30
A mass of $2000$ $kg$ is currently being lowered at a velocity of $2$ $m/s$ from the drum as shown in the figure. The mass moment of inertia of the drum is $150$ $kg$-$m^2$. On applying the brake, the mass is brought to rest in a distance of $0.5$ $m$. The energy absorbed by the brake (in $kJ$) is __________

A mass of $2000$ $kg$ is currently being lowered at a velocity of $2$ $m/s$ from the drum as shown in the figure. The mass moment of inertia of the drum is $150$ $kg$-$m^...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-2-12
For the brake shown in the figure, which one of the following is TRUE? Self energizing for clockwise rotation of the drum Self energizing for anti-clockwise rotation of the drum Self energizing for rotation in either direction of the drum Not of the self energizing type

For the brake shown in the figure, which one of the following is TRUE?Self energizing for clockwise rotation of the drumSelf energizing for anti-clockwise rotation of the...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-2-10
A single degree of freedom mass-spring-viscous damper system with mass $m$, spring constant $k$ and viscous damping coefficient $q$ is critically damped. The correct relation among $m$, $k$, and $q$ is $q=\sqrt{2km} \\$ $q=2\sqrt{km} \\$ $q=\sqrt{\dfrac{2k}{m}} \\$ $q=2\sqrt{\dfrac{k}{m}}$

A single degree of freedom mass-spring-viscous damper system with mass $m$, spring constant $k$ and viscous damping coefficient $q$ is critically damped. The correct rela...

28.5k points

Arjun asked Feb 24, 2017

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GATE2016-2-9
The forces $F_1$ and $F_2$ in a brake band and the direction of rotation of the drum are as shown in the figure. The coefficient of friction is $0.25$. The angle of wrap is $3\pi /2$ radians. It is given that $R$ = $1$ $m$ and $F_2$ = $1$ $N$. The torque (in $N$-$m$) exerted on the drum is _________

The forces $F_1$ and $F_2$ in a brake band and the direction of rotation of the drum are as shown in the figure. The coefficient of friction is $0.25$. The angle of wrap ...

28.5k points

Arjun asked Feb 24, 2017

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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 ...

28.5k points

Arjun asked Feb 24, 2017

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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. ...

28.5k points

Arjun asked Feb 24, 2017

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