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Mathematics (AS & A Level) · Oct / Nov 2025 · Paper 41 · Question 5

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θ° θ° P 8mg N A particle P of mass m kg is in equilibrium on a rough plane inclined at an angle ° i to the horizontal. The equilibrium of P is maintained by a force of magnitude 8mg N making an angle ° i with a line of greatest slope (see diagram). The coefficient of friction between P and the plane is 0.5 and P is on the point of slipping down the plane. Find the value of i. [6]

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