Mathematics (AS & A Level) · May / June 2022 · Paper 41 · Question 3
9709
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A crate of mass 300kg is at rest on rough horizontal ground. The coefficient of friction between the crate and the ground is 0.5. A force of magnitude X N, acting at an angle ! above the horizontal, is applied to the crate, where sin ! = 0.28. Find the greatest value of X for which the crate remains at rest. [5]
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