(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
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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
∘
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