Three particles are connected by massless rods lying along the $y-$ axis. If the system rotates about the $x-$ axis with an angular speed of $2\, rad/s$, the $M.I.$ of the system is ......... $kg-m^2$
$46$
$92$
$184$
$276$
$A$ non uniform rod $OA$ of linear mass density $\lambda = \lambda_0x$ $(\lambda_0 =$ const.) is suspended from ceiling with hinge joint $O$ & light string as shown in figure. Find the angular acceleration of rod just after the string is cut.
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
A circular disc is rolling on a horizontal plane. Its total kinetic energy is $300\,J$ . ....... $J$ is its translational $K.E$
A rigid body rotates about a fixed axis with variable angular velocity equal to $(\alpha \,-\,\beta t)$ at time $t,$ where $\alpha $ and $\beta $ are constants. The angle through which it rotates before it comes to rest is
The centre of mass of a body