Edexcel FM2 AS 2023 June — Question 3

Exam BoardEdexcel
ModuleFM2 AS (Further Mechanics 2 AS)
Year2023
SessionJune
TopicCircular Motion 1

  1. A girl is cycling round a circular track.
The girl and her bicycle have a combined mass of 55 kg .
The coefficient of friction between the track surface and the tyres of the bicycle is \(\mu\).
The track is banked at an angle of \(15 ^ { \circ }\) to the horizontal.
The girl and her bicycle are modelled as a particle moving in a horizontal circle of radius 50 m
The minimum speed at which the girl can cycle round this circle without slipping is \(4.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) Using the model, find the value of \(\mu\).