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.
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.