A smooth light horizontal rod AB can rotate about a vertical axis passing through its end A. The rod is fitted with a small slieeve of mass m attached to the end A by a weightless spring of length `l_0` and stiffness `x`. What work must be performed to slowly get this system going and reaching the angular velocity `omega`?

A uniform metal rod is rotated in horizontal plane about a vertical axis passing through its end at uniform rate. The tension in the rod 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

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 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 rod of mass 12 m and length l lying on a smooth horizontal plane can rotate freely about a stationary, vertical axis passing through the rod's end. A particle of mass m moving along the plane with speed v_(0) hits the rod's end perpendicularly and gets stuck there. Find the angular velocity of the system.

A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is omega . Its cenre of mass rises to a maximum height of :

A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is omega . Its centre of mass rises to a maximum height of -

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 horizontal smooth rod AB rotates with a constant angular velocity omega=2.00rad//s about a vertical axis passing through its end A. A freely sliding sleeve of mass m=0.50g moves along the rod from the point A with the initial velocity v_0=1.00m//s . Find the Coriolis force acting on the sleeve (in the reference frame fixed to rotating rod) at the moment when the sleeve is located at the distance r=50cm from the rotation axis.