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Date: 11-3-2021
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Date: 29-11-2020
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Date: 30-11-2020
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Energy in SHM
We found before that the potential energy stored in a spring is and the kinetic energy is . The conservation of mechanical energy says that
where the total energy is
That is
Thus E is constant. However for a spring x and v are always changing. Can we be sure that E is always constant ?
Example For SHM, show that the total energy is always constant even though K and U always change.
Solution Recall that for SHM we have x = xm cos t and v = -xm sin t. Thus
and
Thus U and K always change. Let's add them.
but we previously found that giving
which is always constant because the amplitude xm is constant!
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دراسة يابانية لتقليل مخاطر أمراض المواليد منخفضي الوزن
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اكتشاف أكبر مرجان في العالم قبالة سواحل جزر سليمان
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المجمع العلمي ينظّم ندوة حوارية حول مفهوم العولمة الرقمية في بابل
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