Unformatted text preview: vector ﬁeld corresponding to the above equation and, on the same plot, the contours of total energy of the system. Note how the vector ﬁeld is tangential to the contours of the energy. 2. A pendulum is acted upon by a torque T = a sin 2 ( θ ) where θ is the angle that the pendulum of mass m makes with the vertical axis and a is a constant. Write the secondorder equations of motion using Newton’s law. Represent the equations in phasespace form. Find the constant of motion. Plot the vector ﬁeld on the phase space on top of energy contours. 1...
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 Fall '08
 Mezic,I
 Energy, Force, Kinetic Energy, Potential Energy, phase space

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