Two wooden crates rest on top of one another. The smaller top crate has a mass...

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Physics

Two wooden crates rest on top of one another. The smaller topcrate has a mass of m1 = 22 kg and the larger bottom crate has amass of m2 = 93 kg. There is NO friction between the crate and thefloor, but the coefficient of static friction between the twocrates is Î¼s = 0.87 and the coefficient of kinetic friction betweenthe two crates is Î¼k = 0.68. A massless rope is attached to thelower crate to pull it horizontally to the right (which should beconsidered the positive direction for this problem).
1) The rope is pulled with a tension T = 481 N (which is smallenough that the top crate will not slide). What is the accelerationof the small crate?
2) In the previous situation, what is the frictional force thelower crate exerts on the upper crate?
3) What is the maximum tension that the lower crate can bepulled at before the upper crate begins to slide?
4) The tension is increased in the rope to 1286 N causing theboxes to accelerate faster and the top box to begin sliding. Whatis the acceleration of the upper crate?
5) As the upper crate slides, what is the acceleration of thelower crate?

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3.6 Ratings (462 Votes)

1 F ma there is no sliding so this force accelerates both crates equally a Fm 481N22 93kg 418 ms2 2 now we want to know the Fma to accelerate the top crate F 22kg418ms2 9196N Note that frictional forces are usually working in the opposite direction but here we need friction See Answer

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