In a rectangle $ABCD (BC = 2AB)$, the moment of inertia along which axis will be minimum ?
$BC$
$BD$
$HF$
$EG$
Four particles of masses $m_1 = 2m, m_2 = 4m, m_3 = m$ and $m_4$ are placed at four corners of a square. What should be the value of $m_4$ so that the centres of mass of all the four particles are exactly at the centre of the square ?
The centre of mass of a body
In the above problem the angular velocity of the system after the particle sticks to it will be ....... $rad/s$
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 ......... $kg.$
A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity $v\,\,m/s.$ If it is to climb the inclined surface then $v$ should be