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Physics 04-01 Equilibrium Name: 1. What can you say about the velocity of a moving body that is in dynamic equilibrium? Draw a sketch of such a body using clearly labeled arrows to represent all external forces on the body. 2. Under what conditions can a rotating body be in equilibrium? Give an example. 3. What three factors affect the torque created by a force relative to a specific pivot point? 4. A wrecking ball is being used to knock down a building. One tall unsupported concrete wall remains standing. If the wrecking ball hits the wall near the top, is the wall more likely to fall over by rotating at its base or by falling straight down? Explain your answer. How is it most likely to fall if it is struck with the same force at its base? Note that this depends on how firmly the wall is attached at its base. 5. Mechanics sometimes put a length of pipe over the handle of a wrench when trying to remove a very tight bolt. How does this help? [It is also hazardous since it can break the bolt.) 6. [a] When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges? [OpenStax 9.1] 46.8 Nm 7. When tightening a bolt. you push perpendicularly on a wrench with a force of 165 N at a distance of 0.140 m from the center of the bolt. (a) How much torque are you exerting in newton x meters (relative to the center of the bolt)? [b] Convert this torque to footpounds. [OpenStax 9.2) 23.1 Nm, 17.0 ft lb 8. Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 17.5 N at a distance of 0.600 In from the hinges, and the second child pushes at a distance of 0.450 m. What force must the second child exert to keep the door from moving? Assume friction is negligible. [OpenStax 9.3] 23.3 Nm 9. The two children shown in the are balanced on a seesaw of negligible mass. (This assumption is made to keep the example simple-more involved examples will follow.) The first child has a mass of 26.0 kg and sits 1.60 m from the pivot (a) If the second child has a mass of 32.0 kg, how far is she from the pivot? [b] What is F 1- the supporting force exerted by the pivot using the second condition for equilibrium [net 1' = 0], employing any data given or solved for in part (a). [OpenStax 9.4] 1.30 m, 568 N 10. Repeat the previous problem with the center of mass of the seesaw 0.160 m to the left of the pivot [on the side of the lighter child) and assuming a mass of 12.0 kg for the seesaw. The other data given in the example remain unchanged. [OpenStax 9.5] 1.36 m, 686 N