A wheel of radius \( R \) has an axle of radius \( R / 5 \). A force \( F \) is applied tangenti...

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A wheel of radius \( R \) has an axle of radius \( R / 5 \). A force \( F \) is applied tangentially to the wheel. To keep the system in a state of rotational rest, a force \( F^{\prime} \) is applied tangentially to the axle. The value of \( F^{\prime} \) is
(1) \( F \)
(2) \( 3 F \)
(3) \( 5 \mathrm{~F} \)
(4) \( 7 \mathrm{~F} \)
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