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Break drum and flywheel

The 8-in.-radius brake drum is attached to a larger flywheel that is not shown. The total mass moment of inertia of the flywheel and drum is 14 lb·ft·sand the coefficient of kinetic friction between the drum and the brake shoe is 0.35. Knowing that the initial angular velocity of the flywheel is 410 rpm counterclockwise, determine the vertical force P that must be applied to the pedal C if the system is to stop in 100 revolutions.

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