A-LevelMathematicsMechanics9709/41 · Oct/Nov 2024 · Q66 Marks
A particle of mass 1.2kg is placed on a rough plane which is inclined at an angle θ to the horizontal, where sin θ = 3/25. The particle is kept in equilibrium by a horizontal force of magnitude P N acting in a vertical plane containing a line of greatest slope (see [Figure 6.1]). The coefficient of friction between the particle and the plane is 0.15. Find the least possible value of P.
- Find the least possible value of P.[6]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- *M1 Attempt at resolving perpendicular to the plane to get an equation
- A1 R=1.2g×(24/25)+P×(7/25)
- *M1 Attempt at resolving parallel to the plane to get an equation
- A1 F+P×(24/25) = 1.2g×(7/25)
- DM1 Use of F=0.15R to get an equation in P only
- A1 P=1.63
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