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10. What is the a) Period and b) frequency of a mass spring system using a 12 kg mass and a spring with a k value of 2200N/m?

Respuesta :

Answer:

Part a)

Time period of spring block system is

[tex]T = 0.464 s[/tex]

Part b)

Frequency of spring block system is

[tex]f = 2.15 Hz[/tex]

Explanation:

As we know that the time period of spring mass system is given as

[tex]T = 2\pi\sqrt{\frac{M}{k}}[/tex]

now we have

M = 12 kg

k = 2200 N/m

now we have

[tex]T = 2\pi\sqrt{\frac{12}{2200}}[/tex]

[tex]T = 0.464 s[/tex]

Part b)

As we know that time period of spring block system is inversely dependent on the frequency

so we have

[tex]f = \frac{1}{T}[/tex]

[tex]f = \frac{1}{0.464}[/tex]

[tex]f = 2.15 Hz[/tex]

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