A particle of mass $$\(m\)$$ rests in equilibrium on a fixed rough plane under the action of a force of magnitude $$\(X\)$$. The force acts up a line of greatest slope of the plane, as shown in Figure 3. The plane is inclined at an angle $$\(\alpha\)$$ to the horizontal, where $$\(\tan \alpha=\frac{3}{4}\)$$ The coefficient of friction between the particle and the plane is $$\(\mu\)$$. - When $$\(X=2 P\)$$, the particle is on the point of sliding up the plane. - When $$\(X=P\)$$, the particle is on the point of sliding down the plane. Find the value of $$\(\mu\)$$. (8)

Mathematics
IGCSE&ALevel
EDEXCEL
Exam No:WME01_01_que_20220111 Year:2022 Question No:5

Answer:



Knowledge points:

1. Mathematical models in mechanics
5. Statics of a particle

Solution:

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