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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

Respuesta :

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 [tex]\omega =\frac{2\pi }{T}=\frac{2\times 3.14}{5}=1.256rad/sec[/tex]

We know that angular frequency is given by

[tex]\omega =\sqrt{\frac{k}{m}}[/tex]

[tex]1.256 =\sqrt{\frac{7}{m}}[/tex]

Squaring both side

[tex]1.577 =\frac{7}{m}[/tex]

m = 4.437 kg

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