Answer to Question #208462 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

$a)f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}$

$f=\frac{1}{2\pi}\sqrt{\frac{300}{3}}=1.59$

$f=1.59\ Hz$

$b) T= \frac{1}{f}$

$T= \frac{1}{1.59}=0.63$

$T=0.63\ s$

$c) A =s$

$A =0.1\ m$

$\text{Answer: } a)f=1.59\ Hz ;b)T=0.63s;c)A=0.1m$