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maximum acceleration the truck has without the box slipping

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A 100 kg box of dimensions 50 cm x 50 cm x 50 cm is in the back of a flatbed truck. The coefficients of friction between the box and the bed of the truck are Us= 0.40 and Uk= 0.20. What is the maximum acceleration the truck can have without the box slipping?

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The solution provides a step-by-step explanation to find out the maximum acceleration the truck can have without the box slipping. Please see attached file which includes a diagram.

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