The given figure shows a disc of mass $M$ and radius $R$ lying in the $x-y$ plane with its centre on $x$ axis at a distance a from the origin. then the moment of inertia of the disc about the $x-$ axis is
$M\left( {\frac{{{R^2}}}{2}} \right)$
$M\left( {\frac{{{R^2}}}{4}} \right)$
$M\left( {\frac{{{R^2}}}{4} + {a^2}} \right)$
$M\left( {\frac{{{R^2}}}{2} + {a^2}} \right)$
In the given figure linear acceleration of solid cylinder of mass $m_2$ is $a_2$. Then angular acceleration $\alpha_2$ is (given that there is no slipping).
A balloon of mass $M$ with a light rope and monkey of mass $m$ are at rest in mid air. If the monkey climbs up the rope and reaches the top of the rope, the distance by which the balloon descends will be(Total length of the rope is $L$ )
In an experiment with a beam balance an unknown mass $m$ is balanced by two known masses of $16\,kg$ and $4 \,kg$ as shown in figure. The value of the unknown mass $m$ is ......... $kg.$
In a rectangle $ABCD (BC = 2AB)$, the moment of inertia along which axis will be minimum ?
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 $= r$ )