A rod of mass `M` and length `L` lying horizontally is free to rotate about a vertical axis through its end. A horizontal force `F` on the rod at the other end, the force always remains perpendicular to the rod. Find the angular velocity of the rod when it has turned an angle `pi//2`.

A rod of mass m and length L , lying horizontally is free to rotate about a vertical axis through its centre. A horizontal force of constant magnitude F acts on the rod at a distance of L/4 from the centre. The force is always perpendicular to the rod. Find the angle rotated by the rod during the time t after the motion starts.

A rod of mass m and length L , lying horizontally is free to rotate about a vertical axis through its centre. A horizontal force of constant magnitude F acts on the rod at a distance of L/4 from the centre. The force is always perpendicular to the rod. Find the angle rotated by the rod during the time t after the motion starts.

A rod of mass m and length L , lying horizontally ils free to rotate about a vertical axis through its centre. A horizontal force of constant magnitude LF acts on the rod at a distance of L/4 frm the centre. The force is always perpendicular to the rod. Find the angle rotated by the rod during the time t after the motion starts.

A thin horizontal uniform rod AB of mass m and length l can rotate freely about a vertical axis passing through its end A . At a certain moment, the end B starts experiencing constant force F which is always perpendicular to the original position of the stationary rod and directed in a horizontal plane. Find the angular velocity of the rod as a function of its rotation angle phi counted relative to the initial position.

A thin horizontal uniform rod AB of mass m and length l can rotate freely about a vertical axis passing through its end A . At a certain moment, the end B starts experiencing a constant force F which is always perpendicular to the original position of the stationary rod and directed in a horizontal plane. The angular velocity of the rod as a function of its rotation angle theta measured relative to the initial position should be.

A thin horizontal uniform rod AB of mass m and length l can rotate freely about a vertical axis passing through its end A . At a certain moment, the end B starts experiencing a constant force F which is always perpendicular to the original position of the stationary rod and directed in a horizontal plane. The angular velocity of the rod as a function of its rotation angle theta measured relative to the initial position should be.

A thin horizontal uniform rod AB of mass m and length l can rotate freely about a vertical axis passing through its end A. At a certain moment the end B starts experiencing a constant force F which is always perpendicular to the original position of the stationary rod and directed in a horizonatal plane. Find the angular velocity of the rod as a function of its rotation angle varphi counted relative to the initial position.

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