A uniform rod of length \( L \) is pivoted at point \( A \). It is struck by a horizontal force ...

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A uniform rod of length \( L \) is pivoted at point \( A \). It is struck by a horizontal force which delivers an impulse \( J \) at a distance \( x \) from point \( A \) as shown in the figure. The impulse delivered by pivot is zero when \( x \) equals
(a) \( \frac{L}{2} \)
(b) \( \frac{L}{3} \)
(c) \( \frac{2 L}{3} \)
(d) \( \frac{3 L}{4} \)
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