A (1.5-mathrm{m}) uniform rod is being used to balance two buckets of paint, each of inertia (m),

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A \(1.5-\mathrm{m}\) uniform rod is being used to balance two buckets of paint, each of inertia \(m\), one at each end of the rod.

(a) Where is the pivot located?

(b) If paint is removed from one bucket until its inertia is \(m / 4\), where must the pivot now be placed in order to keep the rod balanced? Ignore the inertia of the rod.

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