Question

A 0.75kg mass vibrates according to the equation x=0.65 cos(7.35t). Determine the a) amplitude b) frequency c) period and d) spring constant?

Answer 1

a) amplitude: 0.65 m

b) frequency:

$$f=\omega/(2\pi)=1.17\text{ Hz}.$$

c) period:

$$T=1/f=0.855\text{ s}.$$

d) spring constant:

$$k=\frac{mg}{A}=11.3\text{ N/m}.$$