You have been asked to design a new stunt for the opening of an ice show

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You have been asked to design a new stunt for the opening of an ice show. A small 50 kg skater glides down a ramp and along a short level stretch of ice. The skater then grabs the bottom end of a large 180 kg vertical rod which is free to turn vertically about an axis through its center. The plan is for her to hold onto the 6 meter long rod while it swings her 180° up to the top. The rod has a uniform mass distribution. You have been asked to give the minimum height of the ramp.

Draw a physics representation.