Question:You have been asked to design a new stunt for the opening of an
ice show....
Question
You have been asked to design a new stunt for the opening of an
ice show....
You have been asked to design a new stunt for the opening of an
ice show. A small skater glides down a ramp and along a short level
stretch of ice. While gliding along the level stretch the skater,
crouching low to the ground, then grabs a handle on the bottom end
of a large vertical rod that is free to turn vertically about an
axis through its center. The plan is for the skater to stay curled
into as small a shape as possible while holding onto the 20 foot
long rod to swing to the highest possible point. You have been
asked to give the minimum height of the ramp necessary to
accomplish this feat. The rod weighs 150 pounds and has a uniform
mass distribution. Doing a quick integral tells you that the moment
of inertia of this rod about its center is 1/12 of the product of
its mass and length squared. The skater will weigh 110 pounds.