Two identical masses are connected to a horizontal thin massless rod as shown in the figure. Whe...

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Two identical masses are connected to a horizontal thin massless rod as shown in the figure. When their distance from the pivot is \( x \), a torque produces an angular acceleration \( \alpha_{1} \). If the masses are now repositioned so that they are at distance \( 2 x \) each from the pivot, the same torque will produce an angular acceleration \( \alpha_{2} \) such that
(1) \( \alpha_{2}=4 \alpha_{1} \)
(2) \( \alpha_{2}=\alpha_{1} \)
(3) \( \alpha_{2}=\frac{\alpha_{1}}{2} \)
(4) \( \alpha_{2}=\frac{\alpha_{1}}{4} \)
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