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Find the radius r at which ar has a global minimum

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Reference no: EM131604237

Question: 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.

Reference no: EM131604237

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