Question

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?

Answer 1

Part a)

Time period of spring block system is

`T = 0.464 s`

Part b)

Frequency of spring block system is

`f = 2.15 Hz`

Step-by-step explanation:

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

`T = 2\pi\sqrt{(M)/(k)}`

now we have

M = 12 kg

k = 2200 N/m

now we have

`T = 2\pi\sqrt{(12)/(2200)}`

`T = 0.464 s`

Part b)

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

so we have

`f = (1)/(T)`

`f = (1)/(0.464)`

`f = 2.15 Hz`