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angular frequency = sqrt(k / m)
angular frequency = sqrt(9 / 4)
angular frequency = 1.5 rad/sec
x(t) = 16 * cos(wt)
x(t) = amplitude * cos(wt)
so,
Amplitude = 16 cm
angular frequency = 2 * pi * frequency
1.5 = 2 * pi * frequency
frequency = 0.2387 Hz
time period = 1 / frequency
time period = 1 / 0.2387
time period = 4.189 sec
maximum velocity = w * amplitude
maximum velocity = 1.5 * 0.16
maximum velocity = 0.24 m/s
energy = 0.5 * k * amplitude^2
energy = 0.5 * 9 * 0.16^2
energy = 0.1152 J
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