Question 7
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.
3.4 Forces Questions
87 exam-style questions on OCR (MEI) A Level Maths 3.4 Forces, covering 3.4.1 Language relating to forces, 3.4.2 Acceleration due to gravity, 3.4.3 Identify forces and draw force diagrams, 3.4.4 Resultant of concurrent forces, 3.4.5 Equilibrium of a particle, 3.4.6 Resolve a force into components (A-level only), 3.4.7 Equilibrium condition for resultant zero (A-level only), 3.4.8 Forces in equilibrium sum to zero (A-level only), 3.4.9 Equations for a particle in equilibrium (A-level only), 3.4.10 Frictional force and normal contact force (A-level only), 3.4.11 Model friction with F ≤ μR (A-level only), and 3.4.12 Apply Newton's Laws to friction problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.