Question 33
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.
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.