Our values,
[tex]f= 0.8Hz[/tex]
[tex]k= 4N/m[/tex]
We can find the angular velocity,
[tex]w=2\pi f[/tex]
[tex]w=2\pi(0.8)[/tex]
[tex]w=5.02rad/s[/tex]
a) To calculate the mass we know that the formula of
[tex]w=\sqrt{\frac{k}{m}}[/tex]
Re-arrange for the mass
[tex]m=\frac{k}{w^2}=\frac{4}{5.02^2} = 0.15872Kg[/tex]
b) We can use the latest equation to make a relation between the mass and the frquency,
We have that,
[tex]w=2\pi f[/tex] (1)
[tex]w=\sqrt{\frac{k}{m}}[/tex] (2)
Making equal ,
[tex]2\pi f=\sqrt{\frac{k}{m}}[/tex]
Re-arrange to m,
[tex]m = \frac{k}{(2\pi f)^2}[/tex]
