The angular momentum of a projectile projected at an angle $\theta $ with the horizontal with speed $u$ about the point of projection when it is at the highest point of its trajectory is
$\frac{{mu\,\sin \,\theta }}{g}$
$\frac{{m{u^3}\,\cos \,\theta \,\sin \,2\theta }}{{2g}}$
$\frac{{m{u^3}\,\sin \,\theta .\,\sin \,2\theta }}{{2g}}$
$\frac{{m{u^3}\,\sin \,\theta \,\sin \,2\theta }}{{4g}}$
A spherical uniform body of radius $R$, mass $M$ and moment of inertia $I$ rolls down (without slipping) on an inclined plane making an angle $\theta $ with the horizontal. Then its acceleration is
The centre of mass of a body
A force $\vec F$ acts on a particle having position vector $\vec r$ (with respect to origin). It produces a torque $\vec \tau $ about origin, choose the correct option
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 $= r$ )
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