Question

What mass needs to be attached to a spring with a force constant of 7N/m in order to make a simple harmonic oscillator oscillate with a time period of 3s

Answer 1

Answer:

Mass will be 4.437 kg

Explanation:

We have given force constant k = 7 N/m

Time period of oscillation T = 5 sec

So angular frequency $\omega =\frac{2\pi }{T}=\frac{2\times 3.14}{5}=1.256rad/sec$

We know that angular frequency is given by

$\omega =\sqrt{\frac{k}{m}}$

$1.256 =\sqrt{\frac{7}{m}}$

Squaring both side

$1.577 =\frac{7}{m}$

m = 4.437 kg