Recent questions tagged theory-of-mechanics

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, 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 po...

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...

The initial velocity of an object is $40$ $m/s$. The acceleration a of the object is given by the following expression: ...

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 elas...

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 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 pla...

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...

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 ...

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 denote...

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 suf...

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...