A small particle of mass m is given an initial high velocity in the horizontal plane and winds its cord around the fixed vertical shaft of radius a. All motion occurs essentially in horizontal plane. If the angular velocity of the cord is when the distance from the particle to the tangency point is r0, then the angular velocity of the cord after it has turned through an angle is.

The small particle of mass m is given an initial high velocity in the horizontal plane and winds its cord around the fixed vertical shaft of radius 1m . All motion occurs essentially in the horizontal plane. If the angular velocity of the cord is 0.8 rad/s when the distance from the particle to the tangency point is 5m , determine the angular velocity omega (in rad//s) of the cord after it has turned through an angle 1 rad.

A small particle of mass m is given an initial velocity v_(0) tangent to the horizontal rim of a smooth cone at a radius r_(0) from the vertical slides to point B , a vertical distance h below A and a distance r from the vertical centreline, its velocity v makes an angle theta with the horizontal tangent to the cone through B . The value of theta is

A cord is wound around the circumference of wheel of radius r. The axis of the wheel is horizontal and MI is I . A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be

A small particle of mass m is given an initial velocity v_(0) tangent to the horizontal rim of a smooth cone at a radius r_(0) from the vertical slides to point B , a vertical distance h below A and a distance r from the vertical centreline, its velocity v makes an angle theta with the horizontal tangent to the cone through B . The minimum value of v_(0) for which particle will be moving in a horizontal circle of radius r_(0) .

A small particle of mass m is given an initial velocity v_(0) tangent to the horizontal rim of a smooth cone at a radius r_(0) from the vertical slides to point B , a vertical distance h below A and a distance r from the vertical centreline, its velocity v makes an angle theta with the horizontal tangent to the cone through B . The speed of particle at point B

A small particle of mass on is projected with an initial velocity v at an angle 8 with x axis in X-Y plane as shown in Figure. Find the angular momentum of the particle.