The second law of motion may be expressed as a dimensional equation in the form where the meanings of the quantities are obvious. If we cut out the factor m from each side, we may write this in the usual form, The general solution is m(m + 1) = n(n -1). Taking one term only, we get •i = M(w-l)Ar-2 = «(n-l)A"a:" (3), so that tho limited problem corresponds to powers of the distance as the law of acceleration. We then have in (2) a = n(n-1), and so, when the law of force is given in terms of the

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... istance, we can use (2) and (3) to get an expression for t.