Unformatted text preview: J = mR 2 = 2 . The equation of motion is J & & + K& = 0 ; and the natural frequency is then ! n = p K=J: Using the energy approach, we &rst &nd the kinetic and potential energies, and then apply the principle of energy conservation T + V = constant. T = 1 2 J _ & 2 , V = 1 2 K& 2 T + V = 1 2 J _ & 2 + 1 2 K& 2 = const: Di/erentiating the total energy and dividing the expression by _ &; we obtain the same equation of motion J & & + K& = 0 ....
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 Spring '10
 Benaroya
 Conservation Of Energy, Energy, Kinetic Energy, 2 j, mgl sin

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