(15 PTS) An observer riding on the platform measures the angle q that the thread supporting the light ball makes with the vertical. There is no friction anywhere. If you can vary m1 and m2, find the largest angle q you could achieve.

Solution :

 Given :

Angle q = angle between the thread supporting the ball with the vertical.

Let mass .

Then

In this case, acceleration can be found out by applying Newton's law of motion.

Thus,

Acceleration,

Therefore,

or                

or                

Therefore the largest angle q is