olymmath

Putnam 1974 A2

  • Session A

A circle stands in a plane perpendicular to the ground and a point AA lies in this plane exterior to the circle and higher than its bottom. A particle starting from rest at AA slides without friction down an inclined straight line until it reaches the circle. Which straight line allows descent in the shortest time?

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator putnam/1974/a2 · Tag SRQKXYZX2T · Edit this page on GitHub · Keys: j next, k previous