a rocking chair‚ a bouncing ball‚ a vibrating tuning fork‚ a swing in motion‚ the Earth in its orbit around the Sun‚ and a water wave. In each case the interval of time for a repetition‚ or cycle‚ of the motion is called a period. Eg: motion of pendulum. Periodic motion Oscillation is the repetitive variation‚ typically in time‚ of some measure about a central value (often a point of
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On Mathieu Equations by Nikola Mišković‚ dipl. ing. Postgraduate course Differential equations and dynamic systems Professor: prof. dr. sc. Vesna Županović The Mathieu Equation An interesting class of linear differential equations is the class with time variant parameters. One of the most common ones‚ due to its simplicity and straightforward analysis is the Mathieu equation. The Mathieu function is useful for treating a variety of interesting problems in applied
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Physics Formulas: Mechanics Mechanics is the oldest branch of physics. Mechanics deals with all kinds and complexities of motion. It includes various techniques‚ which can simplify the solution of a mechanical problem. Here are some of the often required physics formulas falling in mechanics domain. Motion in One Dimension The physics formulas for motion in one dimension (Also called Kinematical equations of motion) are as follows. (Here ’u’ is initial velocity‚ ’v’ is final velocity‚ ’a’ is
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Galileo Galilei is one of the most well known and popular scientist beside Albert Einstein. At the very basis of what he did‚ Galileo changed how people looked at the world around them especially the solar system. Eventually the church held a trial against Galileo on the act of heresy and attack on the Aristotelian idea of the universe as the church and many others believed that the earth was at the center of the solar system not the sun. He also had many inventions which helped future scientists
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computer science INDEX 1. I/O Devices 1 2. Memory 19 3. Central Processing Unit 47 4. PC Hardware 59 5. Database Concepts 75 6. Review of C++ 90 7. Object Oriented Programming 109 8. Polymorphism 136 9. Inheritance 144 10. Files 167 UNIT I I/O DEVICES Data are entered in to the computer system by means of an input device. The
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earliest dates are less certain. Some authors‚ however‚ claim that water clocks appeared in China as early as 4000 BC.[2] Some modern timepieces are called "water clocks" but work differently than the ancient ones. Their timekeeping is governed by a pendulum‚ but they use water for other purposes‚ such as providing the power needed to drive the clock by using a water wheel or something similar‚ or by having water in their displays. The Greeks and Romans advanced water clock design to include the inflow
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er 3) Physics of roller coasters | | Simply speaking‚ a roller coaster is a machine that uses gravity and inertia to send a train of cars along a winding track.[1] This combination of gravity and inertia‚ along with G-forces and centripetal acceleration give the body certain sensations as the coaster moves up‚ down‚ and around the track. The forces experienced by the rider are constantly changing‚ leading to feelings of joy in some riders and nausea in others. The basic principles
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presumed the floor the ergometer was placed on was level. A subject was placed on the bike and the “0” mark on the scale was adjusted with the screw in order to correspond with the mark on the pendulum. The forward attachment of the belt was removed from the pendulum. A known weight was attached to the pendulum using a string and the scale reading was recorded. The process was repeated with 3 other known weights and each scale reading was recorded. The data points were summarized in a table and graphed
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5.2 Energy conversion and conservation 1. A change from one form of energy to another is called an energy conversion. 2. Is the following sentence true or false? Most forms of energy can be converted into other forms. True 3. Describe the conservation of chemical energy to mechanical energy in your body. Your body changes chemical energy which was in your food through the system of digestion. Once the energy is released‚ it turns to mechanical energy to move your muscles 4. When you throw
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took the same amount of time to swing back and forth‚ no matter how far it was swinging. When he returned home‚ he set up two pendulums of equal length and swung one with a large sweep and the other with a small sweep and found that they kept time together. It was not until Christian Huygens almost one hundred years later‚ however‚ that the resonant nature of a swinging pendulum was used to create an accurate timepiece. To this point‚ he had deliberately been kept away from mathematics (since a physician
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