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When the spring, with the attached 275.0 g mass, is displaced from its new equilibrium position, it undergoes SHM. Calculate the period of oscillation, T , neglecting the mass of the spring itself.

Respuesta :

Answer:

The period of oscillation is 1.33 sec.

Explanation:

Given that,

Mass = 275.0 g

Suppose value of spring constant is 6.2 N/m.

We need to calculate the angular frequency

Using formula of angular frequency

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

Where, m = mass

k = spring constant

Put the value into the formula

[tex]\omega=\sqrt{\dfrac{6.2}{275.0\times10^{-3}}}[/tex]

[tex]\omega=4.74\ rad/s[/tex]

We need to calculate the period of oscillation,

Using formula of time period

[tex]T=\dfrac{2\pi}{\omega}[/tex]

Put the value into the formula

[tex]T=\dfrac{2\pi}{4.74}[/tex]

[tex]T=1.33\ sec[/tex]

Hence, The period of oscillation is 1.33 sec.