The 12-kg disk has an angular velocity of = 20 rad/s. If the brake ABC is

The 12-kg disk has an angular velocity of ω = 20 rad/s. If the brake ABC is applied such that the magnitude of force P varies with time as shown, determine the time needed to stop the disk. The coefficient of kinetic friction at B is μ_k = 0.4. Neglect the thickness of the brake.

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T 400 mm -500 mm 200 mm- B - 500 mm P C P (N) 2 -t (s)