Figure shows a thin metallic triangular sheet $ABC.$ The mass of the sheet is $M.$ The moment of inertia of the sheet about side $AC$ is
$\frac {Ml^2}{18}$
$\frac {Ml^2}{12}$
$\frac {Ml^2}{6}$
$\frac {Ml^2}{4}$
A flywheel is in the form of solid circular disc of mass $72\,kg$ and radius of $0.5\,m$ and it takes $70\, r.p.m.$ , then the energy of revolution approximately is ....... $J$.
One end of a rod of length $L=1 \,m$ is fixed to a point on the circumference of a wheel of radius $R=1 / \sqrt{3} \,m$. The other end is sliding freely along a straight channel passing through the centre $O$ of the wheel as shown in the figure below. The wheel is rotating with a constant angular velocity $\omega$ about $O$. The speed of the sliding end $P$, when $\theta=60^{\circ}$ is
Which vector in the figures best represents the acceleration of a pendulum mass at the intermediate point in its swing?
In a rectangle $ABCD (BC = 2AB)$. The moment of inertia will be minimum along the axis :-
Two rings of the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is : (mass of the ring $= m,$ radius $= r$ )