In the arrangement shown, the sleeve of mass `M` is fixed between two identical springs whose combined force constant is `k`. The sleeve can slide without friction over a horizontal bar `AB`. The arragement rotates with a constant angular velocity `omega` about a vertical axis passing through the middle of the bar. the period of small oscillations of teh sleeve is.........

In the arrangement shown in figure the sleeve M of mass m=0.20kg is fixed between two identical springs whose combined stiffness is equal to x=20 N//m . The sleeve can slide without friction over a horizontal bar AB . The arrrangement rotates with a constant angular velocity omega=4.4 rad//s about a vertical axis passing through the middle of the bar . Find the period of small oscillations of the sleeve. At what values of omega will there be no oscillations of the sleeve ?

In the arrangement shown in figure the sleeve M of mass m=0.20kg is fixed between two identical springs whose combined stiffness is equal to x=20 N//m . The sleeve can slide without friction over a horizontal bar AB . The arrrangement rotates with a constant angular velocity omega=4.4 rad//s about a vertical axis passing through the middle of the bar . Find the period of small oscillations of the sleeve. At what values of omega will there be no oscillations of 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

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 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 particle of mass m is placed over a horizontal circular table rotating with an angular velocity omega about a vertical axis passing through its centre. The distance of the object from the axis is r . Find the force of friction f between the particle and the table.

A sleeve A can slide freely along a smooth rod bent in the shape of a half-circle of radius R(figure). The system is set in rotation with a constant angular velocity omega about a vertical axis OO^' . Find the angle theta corresponding to the steady position of the sleeve.

A sleeve A can slide freely along a smooth rod bent in the shape of a half circle of radius R .The system is set in rotaion with a constant angular velocity omega about a vertical axis OO' .Find the angle theta corresponding to the steady position of the sleeve