A box rests on a rough plane inclined at 30∘ 30^\circ\,30∘ to the horizontal. The coefficient of friction between the box and the plane is 29\displaystyle \frac2992. A horizontal force of magnitude 24 N acts towards the upper end of the plane. The box is on the point of slipping down the plane. Take g=9.8g=9.8g=9.8 m s−2^{-2}−2.
Draw and label all the external forces acting on the box.
Find the mass of the box.
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.