A vehicle of mass 3000 kg is being driven round a banked bend of radius 75 m on an icy day, calculate the maximum speed the vehicle can maintain without slipping outwards if the coefficient of friction between the road and the tyres is 0.2 and banking angle is 15°. Resolve force in the vertical and horizontal directions because the centripetal force is horizontal towards the axis of curvature. Note that N contributes to the vehicle's equilibrium in the vertical direction as well as maintaining the circular motion N UN mg 15°
A vehicle of mass 3000 kg is being driven round a banked bend of radius 75 m on an icy day, calculate the maximum speed the vehicle can maintain without slipping outwards if the coefficient of friction between the road and the tyres is 0.2 and banking angle is 15°. Resolve force in the vertical and horizontal directions because the centripetal force is horizontal towards the axis of curvature. Note that N contributes to the vehicle's equilibrium in the vertical direction as well as maintaining the circular motion N UN mg 15°
Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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
Transcribed Image Text:Example E6 Pg 72
A vehicle of mass 3000 kg is being driven round a banked bend
of radius 75 m on an icy day, calculate the maximum speed the
vehicle can maintain without slipping outwards if the coefficient
of friction between the road and the tyres is 0.2 and banking
angle is 15°.
Resolve force in the vertical and horizontal directions because
the centripetal force is horizontal towards the axis of curvature.
Note that N contributes to the vehicle's equilibrium in the vertical
direction as well as maintaining the circular motion
UN
mg
15°
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