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Physics Undergraduate

全部分かりません!ちんぷんかんぷんです!💦

2/2 物理学入門 演習問題 第6回 1. (a) 減衰振動の運動方程式 d²x dx m +ym dt2 dt -at の解がx(t) = Ae™“ cos (at + 8 ) となるためには、α, y, w。 のどのような関数になら -+kx=0 なければならないか示せ。ただし、ω=√k/m はばねの振動数である。 (b) 初期条件x(0)=x,0(0) = v を満たすような解はどのようになるか示せ。その際は x(t) = Aeat cos (wt+8) = Ae-at (cos wt cosdsin wt sin δ) となることを用いて、 A,8 を消去せよ。 (c) 減衰振動の場合、ばねのエネルギー=mu²+=kx2は「常に」単調減少すること をニュートンの方程式から直接示せ。 2 2. 下図のように2つの粒子が3つのバネにつながっている場合を考える。粒子は1次 元の空間しか動かないものとし、それぞれの粒子の平衡位置 (自然長)からのずれを X1X2 とすると、全体のバネの位置エネルギーは V(x1,x2)===kx²+/=/k'(x_-x2)+=kx2 2 と書ける。ここでk, k'はバネ係数である。 粒子 1,2の質量は等しくmとする。 (b) 重心座標xG (a) 粒子 1,2 それぞれの運動方程式を書き下せ。 x₁ + x₂ 2 (c) 重心座標と相対座標に関する運動の、それぞれの周期を求めよ。 = -と相対座標x=x-x2 に対する運動方程式を書き下せ。 Free free 00000 X2 elllllllll X1 IC

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TOEIC・English Undergraduate

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5 A Matter of Taste Reading Passage 042 At the age of just 22, Jamie Oliver became well known across the UK as "The Naked Chef." He called himself this not because he cooked wearing no clothes, but because he wanted to simplify food preparation so that everybody could follow his recipes. He wanted to "strip down" the idea of cooking. Since then he has had numerous TV shows, published 50 many books, and has become a household name in the UK. Today, one of the activities Jamie Oliver is best known for is his great effort to improve the school dinners that children eat every day. One day, he visited the kitchen of a typical London secondary school, and he was shocked to see how much processed junk food the kids were given to eat each day. Fat and sugar levels were extremely high, and nutritional values very 10 low. The "turkey twizzler" became the symbol of these unhealthy meals: processed meat containing 21.2% fat and only 34% actual turkey. Oliver ran the school kitchen for one year and tried to show that it was possible to serve healthy meals on a limited budget—and that kids actually enjoyed eating them. His mission was to radically change the eating habits of children in that school, and across the country. 150 200 15 20 25 CULTIES 250 His project (the "Feed Me Better" campaign) has had some influence on school dinners in the UK. After watching the documentary Jamie's School Dinners, 271,677 people signed a petition calling for healthier school meals. This led the Prime Minister to agree to spend 280 million pounds (about 37 billion yen) on school dinners, to ban some junk food from school menus, and to create a School Food Trust to provide support and advice for people preparing school meals. Research, by the way, shows that children who stop eating sugary, fatty food and instead eat Oliver's school dinners are better behaved in class, and they get higher test 300 scores, too. 350 Of course, the project has had some problems. At first, many students (and even parents) resisted the removal of the junk food they were so used to. In one famous instance, some parents were passing local takeaway food to their children through the school fence. Also, schools that followed the plan for a while were often found to gradually drift back into bad habits. After all, it is easier and cheaper to just give the kids junk food. However, Oliver's efforts represent a positive start, and with obesity becoming such a huge problem (see Unit 4), 400 it's a very necessary start.

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