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2 Unit AS 2: Applied Mathematics

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Question 137

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.

Figure for question 8

a.

Find how far up the ladder the man can climb, measured along the ladder from AAA, before the ladder begins to slip.

[7]
b.

State, with a reason, how this distance would change if the wall were rough instead of smooth.

[2]
Markscheme

2 Unit AS 2: Applied Mathematics Questions

  1. A Level
  2. /Maths
  3. /2 Unit AS 2: Applied Mathematics

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