Question

A turn of radius 20m is banked for the vehicle of mass 200kg going at a speed of 10m//s. Find the direaction and magnitude of frictional force acting on a vehicle if it moves with a speed a) 5m//s b) 15m//s Assume that frication is sufficient to prevent slipping (g =10m//s^(2)) .

Answer 1

ANSWER

In the second case force of friction f will act downwards.

Using ΣF

x

=

r

mv

2

and ΣF

y

=0, we get

Nsinθ+fcosθ=

r

mv

2

...(iii)

Ncosθ−fsinθ=mg ...(iv)

Substituting θ=tan

−1

(

2

1

),v=15m/s,m=200kg

and r=20 m in the above equations, we get

f=500

5

N (downwards)