The spool shown in the figure is placed ...

The spool shown in the figure is placed on a rough horizontal surface and has inner radius `r` and outer radius `R`. The angle `theta` between the applied force and the horizontal can be varied. The critical angle `theta` for which the spool does not roll and remains stationary is given by

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The spool shown in the figure is placed on a rough horizontal surface and has inner radius `r` and outer radius `R`. The angle `theta` between the applied force and the horizontal can be varied. The critical angle `theta` for which the spool does not roll and remains stationary is given by

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