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Chapter 5 - Chapter 5 Applying Newton's Laws In this...

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1 Chapter 5: Applying Newton’s Laws In this chapter we apply Newton’s laws to solving problems in statics and dynamics We’ll also consider particular types of forces, notably friction Example 5.1 - One dimensional equilibrium A gymnast has just begun climbing up a rope hanging from a gym ceiling. She stops, suspended from the lower end of the rope by her hands. Her weight is 500 N, andthe weight of the rope is 100 N. Analyze the forces on the gymnast and on the rope. at the ceiling statics Example 5.2 - Two dimensional equilibrium In the figure a car engine with weight w hangs from a chain that is linked at a point O to two other chains, one fastened to the ceiling and the other to the wall. Find the tension in each of the three chains, assuming that w is given and the weights of the chains and negligible. statics Example 5.3 - Car on a ramp A car with weight 1.76 x 10 4 N rests on the ramp of a trailer. The car’s brakes and transmission lock are released; only the cable prevents the car from rolling backwards. The ramp makes an angle of 26.0 o with the horizontal. Find the tension in the cable and the force with which the ramp pushes on the car’s tires. statics
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2 Example 5.6 - Acceleration down a hill A toboggan loaded with vacationing students (total weight w ) slides down a long, snow-covered slope. The hill slopes at a constant angle , and the toboggan is so well waxed that there is virtually no friction at all. Find the toboggan’s acceleration and the magnitude n
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