Question 36
In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A uniform ladder AB AB\,AB of mass 25 kg and length 6 m rests with the end A A\,A on rough horizontal ground and the end B B\,B against a smooth vertical wall. The ladder makes an angle of 60° 60°\,60° with the ground.
The coefficient of friction between the ladder and the ground is 0.35.
A man of mass 80 kg climbs the ladder. The man is modelled as a particle.
a.[7]
Find how far up the ladder the man can climb, measured along the ladder from AAA, before the ladder begins to slip.
b.[2]
State, with a reason, how this distance would change if the wall were rough instead of smooth.
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.