A car goes on a circular horizontal road of radius 100 m. What should be the minimum coefficient of friction between the tyres and the road so that it completes the circle with velocity 10 m/s without slipping? (Take g = 10 m/s2)
A car goes on a circular horizontal road of radius 100 m. What should be the minimum coefficient of friction between the tyres and the road so that it completes the circle with velocity 10 m/s without slipping? (Take g = 10 m/s2)
Option 1 -
0.1
Option 2 -
0.2
Option 3 -
0.15
Option 4 -
1
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1 Answer
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Correct Option - 1
Detailed Solution:Centripetal acceleration is provided by friction force. Maximum friction force should be equal to or greater that mv² / R.
µmg = mv²/R ; µ = 100/ (100*10) ; µ = 1/10 ; µ = 0.1
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T1 = m (g + a)
T2 = m (g - a)
Apparent weight = mg – ma
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