A car with mass m drives on a circular vertical track in the given figure. A minimum speed Vm must be maintained for it to complete one revolution without falling off the track. However, the car drives at constant speed vo, where vo

A car with mass m drives on a circular vertical track in the given figure. A minimum speed Vm must be maintained for it to complete one revolution without falling off the track. However, the car drives at constant speed vo, where vo

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter4: Two-and-three Dimensional Motion

Section4.6: Special Case Of Uniform Circular Motion

Problem 4.6CE: A particle travels at a uniform linear speed around a circle of radius r = 0.5 m, completing one...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Define your variables and show how relevant equations were obtained. Handwrite your answer.

A car with mass m drives on a circular vertical track in the given figure.A minimum speed
Vm must be maintained for it to complete one revolution without falling off the track.
However, the car drives at constant speed vo, where vo < Vm•
between the automobile and the track be u.
Let the coefficient of friction
Find the expression for angle 0 where the car begins to slip; show the derivation
of this expression: tan 0 = µ as R → * (flat plane)
m
R
Vo
car
car

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