Question 12
In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
Two blocks AAA, of mass 2 kg, and BBB, of mass 3 kg, are connected by a light inextensible string.
Initially A A\,A is held at rest on a rough plane inclined at an angle θ \theta\,θ to the horizontal, where tanθ=34\displaystyle \tan\theta = \frac{3}{4}tanθ=43. The string passes over a smooth fixed pulley at the top of the plane, parallel to a line of greatest slope, and B B\,B hangs freely.
The coefficient of friction between A A\,A and the plane is 58\displaystyle \frac{5}{8}85. The blocks are released and A A\,A moves up the plane. The blocks are modelled as particles.
a.[5]
Find the tension in the string.
b.[2]
After B B\,B reaches the ground, A A\,A continues up the plane and comes to rest before reaching the pulley. Determine whether A A\,A remains at rest.
c.[2]
Suggest two refinements to the model that would make it more realistic.
2.3 Forces and Newton's laws Questions
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.