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Two boxes, A and B, are stacked on top of each other on top of a conveyor belt as shown below. The values of
Two boxes, A and B, are stacked on top of each other on top of a conveyor belt as shown below. The values of the coefficients of friction between the two boxes are k = 0.1 and =0.2. The values of the coefficients of friction between the box B and the conveyor belt are k = 0.4 and , =0.5. The mass of block A is 1 kg, the mass of block B is 10 kg, and you can use the estimate that the acceleration due to gravity (g) is equal to 10 m/s, pointing toward the center of the earth. The belt initially moves with a constant velocity. a. Draw a free body diagram for each box. b. After a few minutes, the conveyor belt goes haywire and begins to accelerate. Redraw the free body diagrams and calculate the acceleration at which the top box will begin to slide. c. Your PHYS 695 classmate points out that a better arrangement, to minimize slipping, might be to stack block B on top of block A. Because boxes A and B are both the same material, you can assume that the coefficients of friction between box A and the belt is the same as those between box B and the belt. Redraw the free body diagrams and calculate the acceleration at which the top box will begin to slide in this scenario. A B
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