A-LevelMathematicsMechanics9709/43 · Oct/Nov 2020 · Q36 Marks
A string is attached to a block of mass 4 kg which rests in limiting equilibrium on a rough horizontal table. The string makes an angle of 24° above the horizontal and the tension in the string is 30 N.
- (a)Draw a diagram showing all the forces acting on the block.[1]
- (b)Find the coefficient of friction between the block and the table.[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [1] 4 forces, labelled
- [1] For resolving horizontally or vertically
- [1] 30 cos 24 = F (F = 27.406...)
- [1] R + 30 cos 24 = 40 (R = 27.797...)
- [1] Using μ = F/R
- [1] μ = 0.986 (0.9859...)
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