A small body of mass m tied to a non-stretchable thread moves over a smooth horizontal plane. The other end of the thread is being drawn into a hole O(figure) with a constant velocity. Find the thread tension as a function of the distance r between the body and the hole if at `r=r_0` the angular velocity of the thread is equal to `omega_0`.

A body of mass m s connected to an inextensible thread of length L si whirled in horizontal circle. Find the maximum angular velocity with which it can be whirsted without breaking the thread (Breaking stress of thread =S )

A closed chian A of mass m=0.36kg is attached to a vertical rotating shaft by means of a thread (figuer), and rotates with a constant angular velocity omega=35rad//s . The thread forms an angle theta=45^@ with the vertical. Find the distance between the chain's of the thread.

A particle of mass m is whirled in horizontal circle with the help of two threads of length l each as shown in figure . Angular velocity equals omega , then

A particle of mass m is whirled in horizontal circle with the help of two threads of length l each as shown in figure . Angular velocity equals omega , then

a small sphere of mass m susopended by a thread is first taken aside so that the thread forms the right angle with the verticle and then realease. (a) find the total acceleration of the sphere and the thread tension as a function of theta , the angle of deflection of the thread from the vertical. (b) Find the angle theta between the thread and the vertical. at the moment when the total acceleration vector of the sphere is directed (i) horizontally (ii)vertically upward and (iii) vertically downward.

A horizontally oriented uniform disc of mass M and radius R rotates freely about a stationary vertical axis passing through its centre. The disc has a radial guide along which can slide without friction a small body of mass m . A light thread running down through the hollow axle of the disc is tied to the body initially the body was located at the edge of the disc and the whole system rotated with ann angular velocity omega_(0) . Then by means of a force F applied to the lower and of the thread the body was slowly pulled to the rotation axis. find: (a). The angular velocity of the system in its final state. (b). The work performed by the force F.

A horizontally oriented uniform disc of mass M and radius R rotates freely about a stationary vertical axis passing through its centre. The disc has a radial guide along which can slide without friction a small body of mass m . A light thread running down through the hollow axle of the disc is tied to the body initially the body was located at the edge of the disc and the whole system rotated with ann angular velocity omega_(0) . Then by means of a force F applied to the lower and of the thread the body was slowly pulled to the rotation axis. find: (a). The angular velocity of the system in its final state. (b). The work performed by the force F.