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How does the energy of a simple pendulum vary as it moves from one extreme position to the other during its ocilllations? |
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Answer» Solution :The TOTAL energy of a simple pendulum is, `E=1/2mA^(2)((g))/(l)(or)E=1/2(mg)/(l)A^(2)` The above equation, shows that the total energy of a simple pendulum remains constant irrrespective of the position at any time during the oscillation i.e., the law of conservation of energy is valid in the case of a simple pendulum. At the extreme position O it is totally converted as kinetic energy. At any other point the sum of the POTENTIAL and kinetic energy at the mean position or MAXIMUM potential energy at the extreme position. As the bob of the pendulum moves from P to O, the potential energy decreases but appears in the same magnitude as kinetic energy. SIMILARLY as the bob of the pendulum moves from O to P or Q, the KINECTIC energy decreases to the extent it is converted into potential energy. as shown in figure.
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