4

Advanced Physics Problem 3. Find the function y which minimizes the action I for) = A (y'trn'da: subject to the condition that 1 Jun = [a max = L for some xed L and subject to the conditions that y(0) = 0 and {(0) = 0. Hint: The conditions y(0) = I] and {(0) = 0 are designed to make your life easier by making the constants of integration vanish. You should use them after every time you integrate (Anothet Hint: Noether's theorem counts as integration.)