A wheel of radius \( R \) with an axle of radius \( R / 2 \) is shown in the figure and is free ...

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A wheel of radius \( R \) with an axle of radius \( R / 2 \) is shown in the figure and is free to rotate about a frictionless axis through its centre and perpendicular to the page. Three forces \( (F, F, 2 F) \) are exerted tangentially to the respective rims as shown in the figure. The magnitude of the net torque acting on the system is nearly
[KVPY 2013]
(a) \( 3.5 F R \)
(b) \( 3.2 F R \)
(c) \( 2.5 \mathrm{FR} \)
(d) \( 1.5 \mathrm{FR} \)
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