A wagon of $\mathrm{m}$ can move without friction along horizontal rails. A simple pendulum consisting of a sphere of mass $\mathrm{m}$ is suspended from the ceiling of the wagon by a string of length $l$. At the initial moment the wagon and the pendulum are at rest and the string is deflected through an angle $60°$ from the vertical. Find the velocity of the wagon when the pendulum passes through the mean position.

Consider the '$L$' shaped bar shown in figure. At the instant shown, the bar is rotating at $4 \mathrm{rad} {\mathrm{s}}^{-1}$ and is slowing down at the rate of $2 \mathrm{rad} {\mathrm{s}}^{-2}$.

Find the acceleration of point $A$.

Consider the '$L$' shaped bar shown in figure. At the instant shown, the bar is rotating at $4 \mathrm{rad} {\mathrm{s}}^{-1}$ and is slowing down at the rate of $2 \mathrm{rad} {\mathrm{s}}^{-2}$.

Find the relative acceleration $a_{B/A}$ of point $B$ with respect to point $A.$

A uniform rod has a weight of $40 \mathrm{N}$ and a length of $1 \mathrm{m}$. It is hinged to a wall (at the left end), and held in a horizontal position by a vertical massless string (at the right end). What is the magnitude of the torque exerted by the string about a horizontal axis which passes through the hinge and is perpendicular to the rod?

A uniform rod has a weight of $40 \mathrm{N}$ and a length of $1 \mathrm{m}$. It is hinged to a wall (at the left end), and held in a horizontal position by a vertical massless string (at the right end). What is the tension in the string?

A uniform rod has a weight of $40 \mathrm{N}$ and a length of $1 \mathrm{m}$. It is hinged to a wall (at the left end), and held in a horizontal position by a vertical massless string (at the right end). What is the magnitude of the hinge force?