Use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A crate of mass 30 kg is dragged at a constant speed up a rough plane inclined at an angle of 12° 12°\,12° to the horizontal.
The crate is dragged by a rope which lies in the vertical plane containing a line of greatest slope and makes an angle of 18° 18°\,18° with the plane. The tension in the rope is T T\,T newtons.
The coefficient of friction between the crate and the plane is 0.45.
Find the value of TTT.
Explain why the tension needed would be greater if the rope were parallel to the plane.
106 exam-style questions on WJEC A Level Maths 4.9 Forces and Newton's laws (A-level only), covering 4.9.1 Forces and Newton's laws (A-level only), 4.9.2 Forces and Newton's laws (A-level only), 4.9.3 Forces and Newton's laws (A-level only), 4.9.4 Forces and Newton's laws (A-level only), and 4.9.5 Forces and Newton's laws (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.