Question

A 20-kilogram box ¼-meter long is located at the center of a 5-meter long ramp that...

A 20-kilogram box ¼-meter long is located at the center of a 5-meter long ramp that is inclined at 45 degrees above horizontal. A pulley is at the ramp’s upper end and a light weight string runs from the box up and over the pulley connecting to a temporarily supported 5-kilogram mass below the pulley coefficient of static friction (μs) between the block and the ramp is 0.50 and the coefficient of kinetic friction (μk) is 0.40.

a. If the support is removed from beneath the suspended 5-kilogram block, does the 20-kilogram block on the ramp slide, and if so, does it slide up or down the ramp? Show work to support your conclusion

. b. If the block slips, how long does it take the “front” end of the block to reach the end of the ramp?

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