Question 20
In this question 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.
a.[6]
Find the value of TTT.
b.[2]
Explain why the tension needed would be greater if the rope were parallel to the plane.
3.3 R: Forces and Newton's laws Questions
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.