[Computer] Repeat the calculations of Example 5.3 (page 185) but with the following parameters
and with the initial conditions xo = 0 and vo = 0. Plot x(t) for 0
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Write down the potential energy U(ϕ) of a simple pendulum (mass m, length 1) in terms of the angle ϕ between the pendulum and the vertical. (Choose the zero of U at the bottom.) Show that, for small angles, U has the Hooke's law form in terms of the coordinate ϕ. What is k?