CAIE A-Level Mathematics A2 4.1.6 Equilibrium Questions

Practise modelling a particle about to slip, resolving the normal reaction and using F = μR with the correct impending-motion direction.

Exam points

Model limiting friction, resolve the normal reaction and use F = μR with the correct impending-motion direction.

[Maximum number: 3]

A particle P of mass 0.2 kg lies at rest on a rough horizontal plane. A horizontal force of 1.2 N is applied to P.

Given that P is in limiting equilibrium, find the coefficient of friction between P and the plane.

$R=0.2 \mathrm{~g}$ $1.2=\mu \times 0.2 g$
Resolve horizontally and using
$F=\mu R$ to get an equation in $\mu ; 2$
relevant terms.

$\mu=0.6$
ое

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