Question

(14. The friction coefficient between a road and the tyre of a
vehicle is 4/3. Find the maximum incline the road may
have so that once hard brakes are applied and the wheel
starts skidding, the vehicle going down at a speed of
36 km/hr is stopped within 5 m.
ion coefficient between an athelete's shoes and​

Answer 1

Explanation:

a=0−

2

10

²

×5

a=10

s

2

m

R−mgcosθ=0

from the free body diagram

ma+mgθ−μR=0−−−−−−−−−−−−−−−−1

ma+mgθ−μmgθ=0

a+gsinθ−μgcosθ=0

10+10×sinθ−

3

4

×10θ=0

30+30sinθ−40θ=0

3+3sinθ−4θ=0

4cosθ−3θ=3

squaring we get

=4

(1−sin²θ)

=9+9sin²θ+18sinθsinθ

=18+

2×25

18²−4(25)×(−7)

sinθ=

50

−18+32

=

50

14

=0.28

θ=sin⁻¹[0.28)=16

∘