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    Recent questions tagged theory-of-mechanics

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    GATE2020-ME-1: 21
    A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of $10\:\text{grams}$, attached to four points on the $100\: mm$ radius circle shown in the figure. The rotor is driven bt a motor at uniform angular speed of ... gets detached then the magnitude of the resultant unbalance force on the rotor is ________$N$ (rounded off to $2$ decimal places).
    A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of $10\:\text{grams}$, attached to four points on the $100\: mm$ ... the masses gets detached then the magnitude of the resultant unbalance force on the rotor is ________$N$ (rounded off to $2$ decimal places).
    asked Feb 19, 2020 in Applied Mechanics and Design jothee 4.9k points
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    GATE2015-3-4
    In the figure, link $2$ rotates with constant angular velocity $\omega_2$. A slider link $3$ moves outwards with a constant relative velocity $V_{Q/P}$, where $Q$ is a point on slider $3$ and $P$ is a point on link $2$. The magnitude and direction of Coriolis ... $\omega_2$ $\omega_2$ $V_{Q/P}$; direction of $V_{Q/P}$ rotated by $90^\circ$ opposite to the direction of $\omega_2$
    In the figure, link $2$ rotates with constant angular velocity $\omega_2$. A slider link $3$ moves outwards with a constant relative velocity $V_{Q/P}$, where $Q$ is a point on slider $3$ and $P$ is a point on link $2$. The magnitude and direction of Coriolis component of ... of $\omega_2$ $\omega_2$ $V_{Q/P}$; direction of $V_{Q/P}$ rotated by $90^\circ$ opposite to the direction of $\omega_2$
    asked Feb 24, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE2015-2-35
    In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of $14$ $rad/s$ and the crank length is $300$ $mm$, the maximum acceleration of the slider (in $m$/$s^2$) is ___________
    In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of $14$ $rad/s$ and the crank length is $300$ $mm$, the maximum acceleration of the slider (in $m$/$s^2$) is ___________
    asked Feb 24, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE2015-2-30
    The initial velocity of an object is $40$ $m/s$. The acceleration a of the object is given by the following expression: $a=-0.1v$ where $v$ is the instantaneous velocity of the object. The velocity of the object after $3$ seconds will be _______
    The initial velocity of an object is $40$ $m/s$. The acceleration a of the object is given by the following expression: $a=-0.1v$ where $v$ is the instantaneous velocity of the object. The velocity of the object after $3$ seconds will be _______
    asked Feb 24, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE2015-2-6
    A small ball of mass $1$ $kg$ moving with a velocity of $12$ $m/s$ undergoes a direct central impact with a stationary ball of mass $2$ $kg$. The impact is perfectly elastic. The speed (in $m/s$) of $2$ $kg$ mass ball after the impact will be ____________
    A small ball of mass $1$ $kg$ moving with a velocity of $12$ $m/s$ undergoes a direct central impact with a stationary ball of mass $2$ $kg$. The impact is perfectly elastic. The speed (in $m/s$) of $2$ $kg$ mass ball after the impact will be ____________
    asked Feb 24, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE Mechanical 2014 Set 4 | Question: 10
    A point mass is executing simple harmonic motion with an amplitude of $10$ $mm$ and frequency of $4$ $Hz$. The maximum acceleration ($m/s^2$) of the mass is _______
    A point mass is executing simple harmonic motion with an amplitude of $10$ $mm$ and frequency of $4$ $Hz$. The maximum acceleration ($m/s^2$) of the mass is _______
    asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE Mechanical 2014 Set 3 | Question: 31
    A body of mass (M) $10$ $kg$ is initially stationary on a $45^{\circ}$ inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is $0.5$. The body slides down the plane and attains a velocity of $20 m/s$. The distance traveled (in meter) by the body along the plane is _______
    A body of mass (M) $10$ $kg$ is initially stationary on a $45^{\circ}$ inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is $0.5$. The body slides down the plane and attains a velocity of $20 m/s$. The distance traveled (in meter) by the body along the plane is _______
    asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE Mechanical 2014 Set 3 | Question: 9
    A mass $m_1$ of $100$ $kg$ traveling with a uniform velocity of $5$ $m/s$ along a line collides with a stationary mass $m_2$ of $1000$ $kg$. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is $0.6$ $0.1$ $0.01$ $0$
    A mass $m_1$ of $100$ $kg$ traveling with a uniform velocity of $5$ $m/s$ along a line collides with a stationary mass $m_2$ of $1000$ $kg$. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is $0.6$ $0.1$ $0.01$ $0$
    asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE Mechanical 2014 Set 2 | Question: 36
    A truck accelerates up a $10^0$ incline with a crate of $100$ $kg$. Value of static coefficient of friction between the crate and the truck surface is $0.3$. The maximum value of acceleration (in $m$/$s^2$) of the truck such that the crate does not slide down is _______
    A truck accelerates up a $10^0$ incline with a crate of $100$ $kg$. Value of static coefficient of friction between the crate and the truck surface is $0.3$. The maximum value of acceleration (in $m$/$s^2$) of the truck such that the crate does not slide down is _______
    asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE Mechanical 2014 Set 2 | Question: 34
    What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denoted by m and the spring constants are denoted by $k_1$ and $k_2$ ... $\sqrt{\dfrac{k_1-k_2}{m}} \\$ $\sqrt{\dfrac{k_1+k_2}{m}}$
    What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denoted by m and the spring constants are denoted by $k_1$ and $k_2$ as shown below. $\sqrt{\dfrac{k_1+k_2}{2m}} \\$ $\sqrt{\dfrac{k_1+k_2}{4m}} \\$ $\sqrt{\dfrac{k_1-k_2}{m}} \\$ $\sqrt{\dfrac{k_1+k_2}{m}}$
    asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE Mechanical 2014 Set 2 | Question: 8
    A $4$-bar mechanism with all revolute pairs has link lengths $l_f$ = $20$ $mm$, $l_{\text{in}} = 40$ $mm$, $l_{\text{co}} =50$ $mm$ and $l_{\text{out}} =60$ $mm$ ... motion Both links cannot execute full circular motion Only the output link cannot execute full circular motion Only the input link cannot execute full circular motion
    A $4$-bar mechanism with all revolute pairs has link lengths $l_f$ = $20$ $mm$, $l_{\text{in}} = 40$ $mm$, $l_{\text{co}} =50$ $mm$ and $l_{\text{out}} =60$ $mm$. The suffixes $\text{ f'}$ ... can execute full circular motion Both links cannot execute full circular motion Only the output link cannot execute full circular motion Only the input link cannot execute full circular motion
    asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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    GATE Mechanical 2014 Set 1 | Question: 11
    A rigid link $PQ$ is $2$ $m$ long and oriented at $20^\circ$ to the horizontal as shown in the figure. The magnitude and direction of velocity $V_Q$, and the direction of velocity $V_P$ are given. the magnitude of $V_P$ (in $m/s$) a t this instant is $V_Q$=$1 m/s $ $2.14$ $1.89$ $1.21$ $0.96$
    A rigid link $PQ$ is $2$ $m$ long and oriented at $20^\circ$ to the horizontal as shown in the figure. The magnitude and direction of velocity $V_Q$, and the direction of velocity $V_P$ are given. the magnitude of $V_P$ (in $m/s$) a t this instant is $V_Q$=$1 m/s $ $2.14$ $1.89$ $1.21$ $0.96$
    asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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