The moment of inertia of a uniform thin rod of length $L$ and mass $M$ about an axis passing through the rod from a point at a distance of $L/3$ from one of its ends perpendicular to the rod is
$\frac {7ML^2}{48}$
$\frac {ML^2}{1}$
$\frac {ML^2}{9}$
$\frac {ML^3}{3}$
A cockroach of mass $\frac {M}{2}$ is start moving, with velocity $V$ on the circumference of a disc of mass $'M'$ and $'R',$ what will be angular velocity of disc?
An object slides down a smooth incline and reaches the bottom with velocity $v$. If same mass is in the form of a ring and it rolls down an inclined plane of same height and angle of inclination, then its velocity at the bottom of inclined plane will be ............
In the above problem the angular velocity of the system after the particle sticks to it will be ....... $rad/s$
In a rectangle $ABCD (BC = 2AB)$. The moment of inertia will be minimum along the axis :-
The centre of mass of two masses $m$ and $m'$ moves by distance $\frac{x}{5}$ when mass $m$ is moved by distance $x$ and $m'$ is kept fixed. The ratio $\frac{{m'}}{m}$ is