
A ball is located at position A on a rod which can freely rotate
around an axis located
at point 0 pointing out of the picture. For the first part
of this problem the ball is held at point A by a string while the rod
is rotating.
 What is the velocity of the ball while at position A if the
angular velocity of rod/ball is ω = 2 rad/sec ?
 What is the force the string has to exert onto the ball if the ball
is moving on a circle with a radius of 5cm as shown in the picture.
 Suddenly the string is cut, the ball slides outward on the rod until
it reaches a distance of 25 cm from the axis of rotation, see picture.
Assuming that the tangential forces onto the ball during this motion
are negligible ( i.e. the rod is of negligible mass and nobody is exerting a
torque onto the axis of rotation) , what is
the velocity [m/sec] of the ball once at position B ?
Hint : No gravity for this problem.
