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The vibrations from an earthquake are transmitted into the structure of the building. The way the building behaves depends on the natural frequency of the structure. For example, in some cases the building will sway in sync with the vibrations. When this occurs, each oscillation of the structure builds on the one before causing the amount the building deflects to increase. In other cases, the sway of the building is not in sync with the vibrations of the ground. In such cases, consecutive movements of the ground may actually decrease the amount the building moves. Since a buildings height and structural characteristics dictate its natural frequency, it is possible for tall buildings to fair better than short buildings during an earthquake. A simple device can be built to demonstrate this concept. Use a 14 long x4 as a base. Cut four lengths of 1/4 wood dowel, each having a different length. The shortest should be about 1 long and the longest about 6 long. The other two dowels can have lengths somewhere in between. Drill equally space holes in the x4 base and insert the dowels. The order is not important. Next, drill 1/4 holes in four old tennis balls and place one over the end of each dowel. Using a smooth motion with an amplitude of about 4, push the apparatus back-and-forth and observe how each ball/dowel behaves. You should notice that the ball on top of the tall dowel may not move as much as the ball on top of a shorter one. Try smaller or larger amplitudes and different frequencies (back-and-forth speeds). Do the balls behave differently? As for being safer in a taller building, there is no way of being sure. Each building and each earthquake will have their own natural frequency. Sometimes they may match and other times they may not. To be safe during an earthquake, stay away from glass objects and heavy things such as bookcases and filing cabinets. Always try to stand under a door frame since they tend to provide support for the ceiling. A pendulum is a simple potential energy (PE) and kinetic energy (KE) device. Once you start the pendulum bob moving you have defined the total energy of the system. The total energy is related to the height of the bob when it was released. As the pendulum moves towards the bottom of the swing (height decreases) it speeds up so the total energy of the system remains constant (PE decreases and KE increases). When you shorten the string as the bob swings, the system energy must stay the same due to the conservation of energy. If the string is shorter, the bob must swing up to a greater angle in order to maintain the same PE. Since the linear velocity of the bob is a function of the sting length, the bob must move faster to maintain the same KE at the bottom of the swing. As a result, the pendulum will swing higher and faster as the string is shortened. The reverse happens when the string is made longer. If you perform a careful experiment to explore this concept you may notice that they system does not behave exactly as theory would predict. This is due in part to losses such as friction and air resistance. The Guide to Developing a Model Rocket Simulation outlines how to write a simple computer simulation for a pendulum. You could use the computer simulation to conduct virtual experiments on pendulums.
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