Question

Determine the spring constant if a 2000 g mass is applied to a mass spring system causing it to isolate at a frequency of 4HZ

Answer 1

128.8 N/m

Step-by-step explanation:

Frequency for a spring attached oscillating mass is f=1/2π
`\sqrt{k/m]`,

where k is the stiffness of the spring (or spring constant) and m is the mass

Solving for k

f²(4
`\pi^(2)`)=k/m

k=m(f²(4
`\pi^(2)`))=2000(16·4·3.14²) = 1262/9.8=128.8 N/m