In this question use g=9.8 m s−2g = 9.8 \text{ m s}^{-2}g=9.8 m s−2.
A warehouse technician attempts to reposition a heavy industrial crate of mass 40 kg on a rough horizontal concrete floor. The coefficient of friction between the crate and the floor is 0.6.
The technician pushes the crate with a strictly horizontal force of 230 N. Prove that the crate remains in equilibrium.
The technician subsequently attaches a strap and pulls the crate. The strap is inclined at an angle of 30∘ 30^\circ\,30∘ above the horizontal. The technician exerts a tension of 230 N in the strap.
Determine whether the crate remains stationary under these conditions. Justify your answer with calculations.
Practise Edexcel A Level Maths Forces and Friction with exam-style questions for A Level Maths. 29 questions covering Resolving Forces, Inclined Planes, and Friction, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.