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A car of mass 1381 kg is parked on a very slippery hillside (see figure below).

ID: 2138426 • Letter: A

Question

A car of mass 1381 kg is parked on a very slippery hillside (see figure below). To keep it from sliding down the hill (? = 11

A car of mass 1381 kg is parked on a very slippery hillside (see figure below). To keep it from sliding down the hill (? = 11 degree ), the owner attaches a cable. Sketch all the forces on the car. (Take the positive x direction to be along the path of the car, and the positive y direction to be in the same direction as the normal force on the car. Do this on paper. Your instructor may ask you to turn in this work.) Determine the components of all the forces on the car along the coordinate axes. Write the conditions for static equilibrium along your two coordinate directions. (Use the following as necessary: ?, m, g, T for the magnitude of the tension, and N for the magnitude of the normal force. Do not substitute numerical values; use variables only.) If there is no frictional force between the road and the tires, what is the tension in the cable?

Explanation / Answer

b) Fx=1381kgsin11=263.507

Fy=1381cos11=1355.6

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