Question 14.2: i) Show that x = 10 sin 3t satisfies the simple harmonic mot...
i) Show that x = 10 sin 3t satisfies the simple harmonic motion equation
\ddot{x} = -9x.
ii) Sketch the graph of x = 10 sin 3t and deduce the amplitude, period and frequency of this motion.
iii) Verify that \dot{x}^{2} = v² = ω²(a² – x²)
iv) Show that x = 25 sin 3t also satisfies \dot{x} = -9x and comment on this result.
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