A mass is attached to one end of a massless string, the other end of which…

A mass is attached to one end of a massless string, the other
end of which is attached to a fixed support. The mass swings around
in a vertical circle as shown in Fig. 5.36. Assuming that the mass
has the minimum speed necessary at the top of the circle to keep
the string from going slack, at what location should you cut the
string so that the resulting projectile motion of the mass has its
maximum height located directly above the center of the circle?

cut Fig. 5.36