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Image: http://session.masteringphysics.com/problemAsset/1000232220/3/peg.jpg

1) If d = 0.75L, find the speed of the ball when it reaches the top of the circular path about the peg, in terms of L and g.

2) What is the minimum distance d_min (expressed as a fraction of L) such that the ball will be able to make a complete circle around the peg after the string catches on the peg? (Hint: what speed does the ball need to have at the top of its arc if it is to just barely continue to move in a circle?)

3) Will the ball be able to make a complete circle about the peg if d = 0.5L?

Attempt at solving the equation:

I'm not sure where to start, but I thought about using d=V_0*sqrt(m/k). Any explanations would be great! Thanks!