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(a) You press a knife down on the rim of the grindstone with a normal force of 50N.  The coefficient of friction between the knife and the stone is 0.60.  How much force must be applied to the outer edge of the grindstone to maintain a constant angular velocity of 120 revolutions per minutes.              (b) How much time does it take for the grindstone to go from 120 revolutions per minute to rest if it is acted up by the bearings friction alone?

(a) You press a knife down on the rim of the grindstone with a normal force of 50N.  The coefficient of friction between the knife and the stone is 0.60.  How much force must be applied to the outer edge of the grindstone to maintain a constant angular velocity of 120 revolutions per minutes.              (b) How much time does it take for the grindstone to go from 120 revolutions per minute to rest if it is acted up by the bearings friction alone?

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A grindstone is used to sharpen knives and consists of a stone cylinder and a central axle. There are bearings between the axle and the frame to reduce any friction. This grindstone has a mass of 60 kg, a diameter of 0.600 m and has a moment of Inertia (I) of 4.50 kg.m2.  There is a constant friction torque of 5 N.m. at the bearings.

(a) You press a knife down on the rim of the grindstone with a normal force of 50N.  The coefficient of friction between the knife and the stone is 0.60.  How much force must be applied to the outer edge of the grindstone to maintain a constant angular velocity of 120 revolutions per minutes.              (b) How much time does it take for the grindstone to go from 120 revolutions per minute to rest if it is acted up by the bearings friction alone?

A grindstone is used to sharpen knives and consists of a stone cylinder and a central axle. There are bearings between the axle and the frame to reduce any friction. This grindstone has a mass of 60 kg, a diameter of 0.600 m and has a moment of Inertia (I) of 4.50 kg.m?. There is a constant friction torque of 5 N.m. at the bearings. (a) You press a knife down on the rim of the grindstone with a normal force of 50N. The coefficient of friction between the knife and the stone is 0.60. How much force must be applied to the outer edge of the grindstone to maintain a constant angular velocity of 120 revolutions per minutes. (b) How much time does it take for the grindstone to go from 120 revolutions per minute to rest if it is acted up by the bearings friction alone?
Transcribed Image Text:A grindstone is used to sharpen knives and consists of a stone cylinder and a central axle. There are bearings between the axle and the frame to reduce any friction. This grindstone has a mass of 60 kg, a diameter of 0.600 m and has a moment of Inertia (I) of 4.50 kg.m?. There is a constant friction torque of 5 N.m. at the bearings. (a) You press a knife down on the rim of the grindstone with a normal force of 50N. The coefficient of friction between the knife and the stone is 0.60. How much force must be applied to the outer edge of the grindstone to maintain a constant angular velocity of 120 revolutions per minutes. (b) How much time does it take for the grindstone to go from 120 revolutions per minute to rest if it is acted up by the bearings friction alone?
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