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Unformatted text preview: Chapter 12 Problems 1, 2 , 3 = straightforward, intermediate, challenging Section 12.1 The Conditions for Equilibrium of a Rigid Body 1. A baseball player holds a 36oz bat (weight = 10.0 N) with one hand at the point O (Fig. P12.1). The bat is in equilibrium. The weight of the bat acts along a line 60.0 cm to the right of O . Determine the force and the torque exerted by the player on the bat around an axis through O . Figure P12.1 2. Write the necessary conditions for equilibrium of the object shown in Figure P12.2. Take the origin of the torque equation at the point O. Figure P12.2 3. A uniform beam of mass m b and length supports blocks with masses m 1 and m 2 at two positions, as in Figure P12.3. The beam rests on two knife edges. For what value of x will the beam be balanced at P such that the normal force at O is zero? Figure P12.3 Section 12.2 More on the Center of Gravity Problems 38, 39, 41, 43, and 44 in Chapter 9 can also be assigned with this section. 4. A circular pizza of radius R has a circular piece of radius R /2 removed from one side as shown in Figure P12.4. The center of gravity has moved from C to C along the x axis. Show that the distance from C to C is R /6. Assume the thickness and density of the pizza are uniform throughout. Figure P12.4 5. A carpenter's square has the shape of an L, as in Figure 12.5. Locate its center of gravity. Figure P12.5 6. Pat builds a track for his model car out of wood, as in Figure P12.6. The track is 5.00 cm wide, 1.00 m high and 3.00 m long and is solid. The runway is cut such that it forms a parabola with the equation y = ( x 3) 2 /9 . Locate the horizontal coordinate of the center of gravity of this track. Figure P12.6 7. Consider the following mass distribution: 5.00 kg at (0, 0) m, 3.00 kg at (0, 4.00) m, and 4.00 kg at (3.00, 0) m. Where should a fourth object of mass 8.00 kg be placed so that the center of gravity of the fourobject arrangement will be at (0, 0)? 8. Figure P12.8 shows three uniform objects: a rod, a right triangle, and a square. Their masses and their coordinates in meters are given. Determine the center of gravity for the threeobject system. Figure P12.8 Section 12.3 Examples of Rigid Objects in Static Equilibrium Problems 17, 18, 19, 20, 21, 27, 40, 46, 57, 59, and 73 in Chapter 5 can also be assigned with this section....
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This homework help was uploaded on 04/17/2008 for the course PHYS 1610 taught by Professor Entire during the Spring '08 term at Auburn University.
 Spring '08
 Entire
 Physics

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