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Car on an Inclined Plane

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A car is on an inclined plane (shoulder of the road) at angle theta. The car has mass of 1.6Mg and center of mass at G. G is located 2.5 ft vertical from the inclined plane (shoulder of the road). If the coefficient of static friction between shoulder of road and tires is us=0.4, determine greatest slope, theta, the incline can have without causing the car to slip or tip over if car travels along shoulder at constant velocity. Wheels (points A and B) are 5ft apart horiztonally on plane. Acceleration is negligible.

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Solution Summary

We know that for the car not to slip m*g*sin(theta) < f. Full calculations, answer and diagram are shown in solution.

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Because the distance between front and rear wheel is 5 ft, therefore the G will be at a distance of 5/2 = 2.5 ft from the front and rear wheels. And the height of the G is 2.5 ft above the shoulder of the ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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