A motor cyclist ( to be treated as a point mass) is to undertake horizontal circles inside the cylindrical wall of a well of inner radius 8m find the coefficient of static friction between the tyres and the well. When the minimum speed to perform this stunt is 12m/s (use g = 10 m/s²)
Answers
Given:
A motor cyclist ( to be treated as a point mass) is to undertake horizontal circles inside the cylindrical wall of a well of inner radius 8m. (use g = 10 m/s²)
To find:
Find the coefficient of static friction between the tyres and the well when the minimum speed to perform this stunt is 12m/s
Solution:
From given, we have,
The speed of the motor cyclist = v = 12 m/s^2
The radius of the cylindrical wall of a well = r = 8 m
We know that the necessary centripetal force is provided by the friction between the road and the tyres, so we have,
F = mv²/r = μmg
μ = v²/rg
μ = 12² / (8 × 10)
μ = 144 / 80
μ = 1.8
Therefore, the coefficient of static friction between the tyres and the well is 1.8
this is the answer given in the HSC physics textbook on pgno. 5.
