Mathematics (AS & A Level) · Oct / Nov 2016 · Paper 42 · Question 5
9709
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A particle of mass m kg is resting on a rough plane inclined at 30Å to the horizontal. A force of magnitude 10 N applied to the particle up a line of greatest slope of the plane is just sufficient to stop the particle sliding down the plane. When a force of 75 N is applied to the particle up a line of greatest slope of the plane, the particle is on the point of sliding up the plane. Find m and the coefficient of friction between the particle and the plane. [6]
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