Four equally massive particles can be made to rotate, equally spaced, around a circle of
Chapter 4, Problem 37(choose chapter or problem)
Four equally massive particles can be made to rotate, equally spaced, around a circle of radius r. This is physically possible provided the radius and period T of the rotation are chosen so that the following action function is at its global minimum: A(r) = r2 T + T r , r> 0. (a) Find the radius r at which A(r) has a global minimum. (b) If the period of the rotation is doubled, determine whether the radius of the rotation increases or decreases, and by approximately what percentage
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