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82 Section Review
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30 Torque Vijesh enters a revolving door that is not moving Explain where and how Vijesh should push to produce a torque with the least amount of force 31 Lever Arm You try to open a door, but you are unable to push at a right angle to the door So, you push the door at an angle of 55 from the perpendicular How much harder would you have to push to open the door just as fast as if you were to push it at 90 32 Net Torque Two people are pulling on ropes wrapped around the edge of a large wheel The wheel has a mass of 12 kg and a diameter of 24 m One person pulls in a clockwise direction with a 43-N force, while the other pulls in a counterclockwise direction with a 67-N force What is the net torque on the wheel
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8 Rotational Motion
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33 Moment of Inertia Refer to Table 8-2 on page 206 and rank the moments of inertia from least to greatest of the following objects: a sphere, a wheel with almost all of its mass at the rim, and a solid disk All have equal masses and diameters Explain the advantage of using the one with the least moment of inertia 34 Newton s Second Law for Rotational Motion A rope is wrapped around a pulley and pulled with a force of 130 N The pulley s radius is 0150 m The pulley s rotational speed goes from 00 to 140 rev/min in 450 s What is the moment of inertia of the pulley 35 Critical Thinking A ball on an extremely lowfriction, tilted surface, will slide downhill without rotating If the surface is rough, however, the ball will roll Explain why, using a free-body diagram
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physicsppcom/self_check_quiz
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83 Equilibrium
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hy are some vehicles more likely than others to roll over when involved in an accident What causes a vehicle to roll over The answer lies in the design of the vehicle In this section, you will learn some of the factors that cause an object to tip over
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Objectives
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Define center of mass Explain how the location of the center of mass affects the stability of an object Define the conditions for equilibrium Describe how rotating frames of reference give rise to apparent forces
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The Center of Mass
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How does an object rotate around its center of mass A wrench may spin about its handle or end-over-end Does any single point on the wrench follow a straight path Figure 8-11a shows the path of the wrench You can see that there is a single point whose path traces a straight line, as if the wrench could be replaced by a point particle at that location The center of mass of an object is the point on the object that moves in the same way that a point particle would move Locating the center of mass How can you locate the center of mass of an object First, suspend the object from any point When the object stops swinging, the center of mass is along the vertical line drawn from the suspension point as shown in Figure 8-11b Draw the line Then, suspend the object from another point Again, the center of mass must be below this point Draw a second vertical line The center of mass is at the point where the two lines cross, as shown in Figure 8-11c The wrench, racket, and all other freely rotating objects rotate about an axis that goes through their center of mass Where is the center of mass of a person located
Vocabulary
center of mass centrifugal force Coriolis force
Center of mass
Figure 8-1 The path of the 1 center of mass of a wrench is a straight line (a) The center of mass of an object such as a tennis racket can be found by first suspending it from any point (b) The point where the strings intersect is the location of the racket s center of mass (c)
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