ch4 problem40

# Physics: Principles with Applications

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http://www.hwproblems.com/cgi-bin/book.cgi?bookid=0044&cptn=4pr40&id=489216 Chapter 4, Problem 40 Question Problem The forces acting on the car are the force of gravity which points vertically downwards, the normal force perpendicular to the road surface, and the frictional force parallel to the road surface. In reality, the four wheels support the car against the road surface, and the above forces are distributed among the four wheels and the road surface. However, for convenience of calculations, let us represent the car as a single block resting on a sloping surface. We know that and . We choose the x axis along the road surface, positive pointing down-slope. The components of in the x and y directions are Applying Newton s second law to the x direction, the acceleration in the x direction is directly

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Unformatted text preview: proportional to the net force in that direction, and inversely proportional to the mass of the car. Since the car is stationary on the slope, . Therefore, http://www.hwproblems.com/cgi-bin/book.cgi?bookid=0044&cptn=4pr40&id=489216 (1 of 2) [2/4/2008 4:04:57 PM] http://www.hwproblems.com/cgi-bin/book.cgi?bookid=0044&cptn=4pr40&id=489216 Applying Newton ’ s second law to the y direction Since the car is stationary, . Substitute for in equation (1). Divide both the sides by . In this condition, the forces are balanced and the car just about manages to remain stationary without sliding down. Solve for . So, we can leave a car parked on a slope that is up to inclined to the horizontal. http://www.hwproblems.com/cgi-bin/book.cgi?bookid=0044&cptn=4pr40&id=489216 (2 of 2) [2/4/2008 4:04:57 PM]...
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