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Pulley and Circle Dynamics

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1. During poi (ball attached to the end of a piece of string) twirling demonstration the glowing ball comes off the string at the bottom of a vertical circle.
a) Why was it more likely to come off at the bottom than at the top of the circle.
b) If the length of the string is 60cm and it was being twirled so that it just got over the top of the circle what speed was it traveling at? (Assume a constant speed for the whole circle).
c) The poi was 20 cm above the floor when it came off. It has a mass of 250g. How far does it go before it hits the ground?
2. Two objects of unequal mass are hung vertically over a frictionless pulley.
a) What is the acceleration of the two masses if m2 = l5kg, m1 = 7kg
and the mass of the pulley is ignored.
b) What is the acceleration of the two masses if the mass of the pulley
M= 0.5kg is not ignored?

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