Problems12 - Chapter 12 Problems 1, 2 , 3 =...

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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 36-oz 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 four-object 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 three-object 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.

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Problems12 - Chapter 12 Problems 1, 2 , 3 =...

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