PHY 305/601 Classical Mechanics Assignment No. 1 1. Consider a particle of mass m constrained to move on a frictionless cylinder of radius R‚ given by the equation ρ=R in cylindrical polar coordinates (ρ‚ φ‚ z). Besides the force of constraint‚ the only force on the mass is force F=-kr directed toward the originUsing z and φ as generalized coordinates find the Lagrangian L‚ solve Lagrange’s equations and describe the motion. 2. Show that the kinetic energy of any holonomic mechanical system has
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AUTHOR: Patricia C. McKissack Rosemary Patterson’s day hasn’t been going to good for her last day of school. 1st she has to wake up to her parents fusing‚ 2nd Rosemary’s school will close down for good because the stop of segregation‚ 3rd only J.J. and Rosemary shall go to Robertson Elementary and leave there old friends behind. When school ends J.J. and Rosemary meet Bevvy a friend of theirs‚ at Mr. Bob’s grocery store. They all show Mr. Bob their final grades gets then them one candy bar of
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It requires a lot of hit energy to transform a given quantity of water in to vapor. This energy is called enthalpy of vaporization. While water evaporates the temperature around it drops. We see this phenomenon in action in leaving things‚ they use sweat to low their temperature and also in many manmade tools. What is evaporation cooling? Evaporation cooling is a device that cools air by combining the natural process of water evaporation with an air moving system. Evaporative cooling is different
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Aggressive and Violent Behavior Aggression is usually defined by behavioral scientists as behavior that is intended to harm another person. Common forms of aggression are physical (for example‚ punching)‚ verbal (for example‚ saying or writing hurtful things to another person)‚ and relational (for example‚ intentionally and publicly not inviting someone to a party to harm his social relationships). Violence usually is conceived as more extreme forms of physical aggression that are likely to result
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Where are the heroes of today? Where are the leaders‚ the warriors‚ the pioneers? These are different times‚ much more difficult times: times of discretion traveling away from the light of the sun. When I think of American heroes‚ I think of Harriet Tubman‚ Abraham Lincoln‚ Martin Luther King‚ Susan B. Anthony‚ Rosa Parks‚ Franklin Delano Roosevelt‚ and Jackie Robinson. My question remains; where are the heroes of today? The American heroes of the past did their duty with guts and talent‚
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The world has become a safer place now than it was ten years ago. Do you agree? Ten years ago‚ people hoped that the future generations will have a better‚ safer place to live in. Ten years on‚ it has seemed that their hopes have been fulfilled. As Martin Luther once said‚ “Everything that is done in the world is done by hope.” In the world now‚ crimes rates have been decreasing steadily and the world has been inventing new protection equipment. Moreover‚ the world is winning the war against terrorism
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Baby Girl: Preslee 0 Months: 1) Q: You are starting to notice that Preslee’s crying is rhythmic and moderately loud when she is hungry‚ wet‚ or cold. If she is startled‚ there is a sudden intake of breath and a loud wail‚ followed by more deep breaths and loud wails. A: You try to respond to the different types of crying by changing‚ feeding‚ or soothing little Preslee. 2) Q: Preslee spends most of her time falling asleep‚ sleeping‚ or slowly waking up. When she is awake‚ you take advantage
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Ludwig van Beethoven Two hundred years ago one of the greatest composers ever to exist was born. His name was Ludwig Van Beethoven‚ but to the world he was best remembered as Beethoven. The talented musical composer Beethoven became one of best well-known composers and performers ever to exist. Starting his work in music at just a young age‚ Beethoven learned to become passionate for music in a hard way. It was told Beethoven’s father believed in his capability‚ which made Beethoven work that much
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The Teenage Years Growing up is a hard process‚ especially for those who are experiencing their adolescent years. Everyone who has gone through this process agrees that these years have been some of the most awkward and strangest years of their lives; the ‘teen years’ is a period of time in which the majority of people tend to have rebellious and irresponsible behavior‚ where it’s easy to feel isolated and where everything bad that happens is the “end of the world”. Teenagers seem to hate everything
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Compare the statue of Haremhab with the statue of Queen Hatshepsut These two statues are famous to the Egyptian art era. They represent the woman’s position and the man’s position at that day and age. Traditionally‚ the rulers of Egypt were male. So‚ when Hatshepsut‚ Dynasty 18‚ ca. 1473-1458 B.C.‚ assumed the titles and functions of king she was portrayed in royal male costumes. Such representations were more for a political statement‚ rather than a reflection of the way she actually looked
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