1.

A thin rod AB of length a has variable mass per unit length (rho_(0)(a+x))/(a), where x is the distance measured from A and p_(0) is a constant. The rod is pivoted at A and is hanging vertically in equilibrium, when it is struck by a horizontal impulse of magnitude J at the point B. Show that if B passes through a point vertically above A, then J gt(sqrt(10xa^(3)rho_(0)^(2)g))/(6) where 'x' is

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