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

Answer:

Part a)

Time period of spring block system is

$T = 0.464 s$

Part b)

Frequency of spring block system is

$f = 2.15 Hz$

Explanation:

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

$T = 2\pi\sqrt{\frac{M}{k}}$

now we have

M = 12 kg

k = 2200 N/m

now we have

$T = 2\pi\sqrt{\frac{12}{2200}}$

$T = 0.464 s$

Part b)

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

so we have

$f = \frac{1}{T}$

$f = \frac{1}{0.464}$

$f = 2.15 Hz$