Answer to Question #208012 in Classical Mechanics for Rae

Question

The parameters of the spring oscillator shown by the figure are: m = 3 kg and k = 300 N/m. We displace the ball to the left by s = 10 cm from the equilibrium position, then release it. Let us assume there is no loss of energy in the system! Calculate:

a) the natural frequency of the system,

b) the period of the oscillation,

c) the amplitude of the oscillation! 

Answer 1

a)

$\nu=\frac{1}{2\pi}\sqrt{\frac km}=1.59~Hz,$

b)

$T=\frac{1}{\nu}=0.63~s,$

c)

$A=s=0.1~m.$