L shaped rod whose one end is horizontal and other is vertical is rotating about a vertical axis as shown with angular speed `omega` .The sleeve has mass m and friction coefficient between rod and sleeve is `mu`.The minimum angular speed `omega` for which sleeve cannot slip on rod is?

A L shaped rod of mass M is free to rotate in a vertical plane about axis A A as shown in figure. Maximum angular acceleration of rod is

A vertical rod is rotating about its axis with a uniform angular speed omega . A simple pendulum of length l is attached to its upper end what is its inclination with the rod ?

A small wedge whose base is horizontal is fixed to a vertical rod as shown in fig . The sloping side of the weidgeis frictionless and the wedge is span with a constant angular speed omega about vertical axis as shown in the fig find the a. value of angular speed omega for which the block of mass m just does not slide down the wedge. b. normal reaction on the block by wedge when block does not slip relative to wedge.

A pendulum bob of mass m hangs from one end of a horizontal rod which is rotating about vertical axis with an unknown angular speed omega such that the light inextensible string of length l of the pedulum makes a constant angle theta with vertical. Find the Q. angular speed omega

A pendulum bob of mass m hangs from one end of a horizontal rod which is rotating about vertical axis with an unknown angular speed omega such that the light inextensible string of length l of the pedulum makes a constant angle theta with vertical. Find the Q. tension in the string

A rod is kept inclined at an angle theta with the horizontal A sleeve of mass m can slide on the rod. If the coefficient of friction between the rod and the sleeve is mu , for what values of horizontal acceleration a of the rod, towards left, the sleeve will not slide over the rod?

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 shaft whose diameter is d and length is l is rotating without friction in bearings with an angular velocity omega_0 . A sleeve of height h and outer diameter D is fitted on the shaft (the materials of the sleeve nod the shaft are the same). At first the sleeve is not connected with the shaft and is a t rest. Then at some moment the sleeve is clamped to the shaft. What will be the common angular velocity of the shaft plus the sleeve?

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