If the road of the previous problem is horizontal (no banking), what should be the minimum friction coefficient so that a scooter going at 18 km/hr does not skid?

Question

Philoid · Accepted Answer

Since, there is no banking now, the Frictional force (f) must be able to balance the centripetal force (mv²/r)

⇒ f ≥ mv²/r

⇒ μmg ≥ mv²/r where, μ = friction coefficient

⇒ μ ≥ v²/rg

We are given, v = 18km/hr = 5m/s, r = 10 m, g =10 m/s²

⇒

⇒ μ ≥ 0.25

Minimum friction coefficient, μ = 0.25