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GATE 2021 MN – Question 35

Geomechanics and Ground Control · Engineering Mechanics · 1 mark · Numerical answer

A vehicle travelling 12 m/s skids without rolling to rest over 15 m on a level road. Deceleration is constant and g=10 m/s². Find the tyre-road kinetic-friction coefficient, to two decimals.

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Correct answer: 0.45 to 0.50

Explanation

From v²=u²+2as, 0=144+30a, so the deceleration magnitude is 4.8 m/s². On a level road with friction causing the deceleration, μg=4.8. Hence μ=4.8/10=0.48. Vehicle mass cancels from the force balance.

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