A conical pendulum, a thin uniform rod of length `l` and mass `m`, rotates uniformly about a vertical axis with angular velocity `omega`(the upper end of the rod is hinged). Find the angle `theta` between the rod and the vertical.

A conical pendulum consisting of rigid rod of length l and mass m rotates uniformly about vertical axis with angular velocity omega . Find the angle theta between the rod and the vertical [Hint : Equate the moments of centrifugal forces on elementary masses to the moment of gravity]

A uniform rod AB of length 2l and mass m is rotating in a horizontal plane about a vertical axis through A, with angular velocity omega , when the mid-point of the rod strikes a fixed nail and is brought immediately to rest. Find the impulse exerted by the nail.

A thin uniform copper rod of length l and mass m rotates uniformly with an angular velocity omega in a horizontal plane about a vertical axis passing through one of its ends. Determine the tension in the rod as a function of the distance r from the rotation axis. Find the elongation of the rod.

A rod is rotating with angular velocity omega about axis AB. Find costheta .

A uniform rod of length l is from rest such that it rotates about a smooth pivot. The angular speed of the rod when it becomes vertical is. .

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