A rod of mass m and length 2R can rotate about an axis passing through O invertical plane.A disc of mass m and radius `R//2` is hinged to the other end P ofthe rod and can freely rotate about P. When disc is at lowest point both rod and disc has angular velocity `omega`. If rod rotates by maximum angle`theta=60^(@)` with downward vertical, then `omega` interms of R and g will be(all hinges are smooth)

A rod PQ of mass m and length L is rotated about an axis through P as shown in figure. Find the moment of inertia of the rod about the axis of rotation.

A thin uniform rod of mass M and length L is rotating about a perpendicular axis passing through its centre with a constant angular velocity omega . Two objects each of mass (M)/(3) are attached gently to the two end of the rod. The rod will now rotate with an angular velocity of

A uniform rod of mass m is rotated about an axis passing through point O as shown. Find angular momentum of the rod about rotational law.

A uniform rod of mass m is rotated about an axis passing through point O as shown. Find angular momentum of the rod about rotational law.

A thin rod of mass M and length a is free to rotate in horizontal plane about a fixed vertical axis passing through point O. A thin circular disc of mass M and of radius a/4 is pivoted on this rod with its center at a distance a/4 from the free end so that it can rotate freely about its vertical axis. Assume that both rod and disc have uniform density and they remain horizontal during motion. An outside stationary observer finds the rod rotating with an angular velocity Omega and the disc rotating about its vertical axis with angular velocity 4 Omega . Total angular momentum of system about point O is ((M a^2 Omega)/(48)) n . The value of n is

A rod of mass 2 kg ad length 2 m is rotating about its one end O with an angular velocity omega=4rad//s . Find angular momentum of the rod about the axis rotation.

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is