По условию: mg=k1*x1, mg=k2*x2. 1) последовательное соединение пружин. Массами самих пружин пренебрегаем. При этом сила, растягивающая первую пружину, будет mg, и сила, растягивающая вторую пружину будет тоже mg. Тогда растяжение первой пружины (как это видно из условия) будет x1, а растяжение второй пружины (как это видно из условия) будет x2. А общее растяжение системы пружин (соединенных последовательно) очевидно будет x = x1 + x2. 2) параллельное соединение пружин. Растяжение обеих пружин одинаковое. Как для первой, так и для второй пружины, растяжение равно x. Опять пренебрегаем массами самих пружин. Тогда mg = F1+F2 = k1x+k2x = x*(k1+k2), x = mg/(k1+k2). Из условия, k1 = mg/x1, k2 = mg/x2, подставляем последние два равенства в уравнение для x. x = mg/( (mg/x1) + (mg/x2) ) = 1/ ( (1/x1) + (1/x2) ) = [ домножим числитель и знаменатель последней дроби на (x1*x2) ] = x1*x2/(x2+x1). x = x1*x2/(x1+x2).
Newspapers and magazines play a very important part in our life. Practically there is no family that does not read them. We can learn many things from newspapers. Perhaps that is why many years ago an American humorous writer said: "All I know is what I see in the papers"; and another American author more than half a century ago wrote that "the careful reader of a few good newspapers can learn more in a year than most scientists do in their great libraries".
We can agree or disagree with these statements (better to disagree, because scientific books and magazines have more information than newspapers), but we'll have to say that newspapers help us in many ways. There are a lot of different kinds of newspapers in our country. One can buy them practically everywhere. It is impossible to read all the newspapers and magazines. Everyone has favourite ones.
My favourite newspaper is "Komsomolskaya Pravda". We can read almost about everything in this newspaper. There are articles dealing with home and abroad news, sport events, life of favourite actors and singers and even the weather. We can find many interesting things there. We can read some useful pieces of advice, some stories about our life, and so on. There are puzzles, songs and even anecdotes there. "Komsomolskaya Pravda" is one of the most interesting newspapers, to my mind.
1) последовательное соединение пружин. Массами самих пружин пренебрегаем. При этом сила, растягивающая первую пружину, будет mg, и сила, растягивающая вторую пружину будет тоже mg.
Тогда растяжение первой пружины (как это видно из условия) будет x1, а растяжение второй пружины (как это видно из условия) будет x2.
А общее растяжение системы пружин (соединенных последовательно) очевидно будет x = x1 + x2.
2) параллельное соединение пружин. Растяжение обеих пружин одинаковое. Как для первой, так и для второй пружины, растяжение равно x. Опять пренебрегаем массами самих пружин. Тогда
mg = F1+F2 = k1x+k2x = x*(k1+k2),
x = mg/(k1+k2).
Из условия, k1 = mg/x1,
k2 = mg/x2, подставляем последние два равенства в уравнение для x.
x = mg/( (mg/x1) + (mg/x2) ) = 1/ ( (1/x1) + (1/x2) ) = [ домножим числитель и знаменатель последней дроби на (x1*x2) ] = x1*x2/(x2+x1).
x = x1*x2/(x1+x2).
Объяснение:
Newspapers and magazines play a very important part in our life. Practically there is no family that does not read them. We can learn many things from newspapers. Perhaps that is why many years ago an American humorous writer said: "All I know is what I see in the papers"; and another American author more than half a century ago wrote that "the careful reader of a few good newspapers can learn more in a year than most scientists do in their great libraries".
We can agree or disagree with these statements (better to disagree, because scientific books and magazines have more information than newspapers), but we'll have to say that newspapers help us in many ways. There are a lot of different kinds of newspapers in our country. One can buy them practically everywhere. It is impossible to read all the newspapers and magazines. Everyone has favourite ones.
My favourite newspaper is "Komsomolskaya Pravda". We can read almost about everything in this newspaper. There are articles dealing with home and abroad news, sport events, life of favourite actors and singers and even the weather. We can find many interesting things there. We can read some useful pieces of advice, some stories about our life, and so on. There are puzzles, songs and even anecdotes there. "Komsomolskaya Pravda" is one of the most interesting newspapers, to my mind.