(Further analysis of the nonlinear pendulum) Consider the nonlinear pendulum equation: d²0 dt² In class we obtained the conservation 1 (dº) ² 2 dt 9 sin (0) L of energy equation: + g (1 cos (0)) : = E (a.) What is the value of total energy E when the pendulum is hanging vertically downwards and is at rest?
(Further analysis of the nonlinear pendulum) Consider the nonlinear pendulum equation: d²0 dt² In class we obtained the conservation 1 (dº) ² 2 dt 9 sin (0) L of energy equation: + g (1 cos (0)) : = E (a.) What is the value of total energy E when the pendulum is hanging vertically downwards and is at rest?
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Transcribed Image Text:(Further analysis of the nonlinear pendulum) Consider the nonlinear
pendulum equation:
d²0
dt²
In class we obtained the conservation
9 sin (0)
L
of energy equation:
2
L Ꮎ
1/4 (¹0) ² +
(do)* + g (1 cos (0)) = E
2 dt
(a.) What is the value of total energy E when the pendulum is hanging
vertically downwards and is at rest?
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