TS EAMCET 4-Aug-2021 Shift 2 Question Paper

Given, radius of road, R=16m,
Tangential acceleration, aT=3ms−2,
Radial acceleration =aN,
Coefficient of friction, µ=0.5
and acceleration due to gravity, g=10ms−2
Let minimum speed for skid is v.
As we know that,
f‌‌=µN=m√aN2+aT2
⇒‌‌µmg‌‌=m√aN2+aT2
where, f,N and m are friction force, normal reaction and mass of body, respectively.
⇒‌f=µg=√aN2+aT2
⇒‌f=0.5×10=√aN2+32
⇒‌25=aN2+9
⇒‌aN2=25−9=16
⇒‌aN=4ms−2
‌ and ‌‌aN=‌

v2

R

⇒‌v2=aNR⇒v=√4×16
⇒‌v=√64=8ms−1