A mass $‘m’$ is supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?
$\frac{{5g}}{6}$
$g$
$\frac{{2g}}{3}$
$\frac{g}{2}$
A constant torque acting on a uniform circular wheel changes its angular momentum from $L_0$ to $4L_0$ in $4\,s$ . The magnitude of this torque is
We have two spheres one of which is hollow and the other solid. They have identical masses and moment of inertia about their respectively diameters. The ratio of their radius is given by
A child is standing at one end of a long trolley moving with a speed $v$ on a smooth horizontal floor. If the child starts running towards the other end of the trolley with a speed $u,$ the centre of mass of the system (trolley + child) will move with a speed.
Which vector in the figures best represents the acceleration of a pendulum mass at the intermediate point in its swing?
The centre of mass of two particles lies