Question

I'm designing a mass-spring-dashpot system, and the only dashpot I have has C= 5. I want the system to have a natural frequency $$\omega_0 = \sqrt{\frac{k}{m}} = 2$$, And I want the system to be critically damped so that $$C^2 - 4mk = 0$$. Find the MASS M And spring constant k to complete my creation.

Name: im designing a mass spring dashpot system and the only dashpot i have has c 5 i want the system to have a natural frequency omega0 sqrtfrackm 2 and i want the system to be critically damped 20868
Uploaded: 2022-10-30T09:13:03-08:00
Duration: 2 min 2 s
Channel: Sri K
Description: im designing a mass spring dashpot system and the only dashpot i have has c 5 i want the system to have a natural frequency omega0 sqrtfrackm 2 and i want the system to be critically damped 20868

          I'm designing a mass-spring-dashpot system, and the only dashpot I have has C= 5. I want the system to have a natural frequency $$\omega_0 = \sqrt{\frac{k}{m}} = 2$$, And I want the system to be critically damped so that $$C^2 - 4mk = 0$$. Find the MASS M And spring constant k to complete my creation.

$im designing a mass spring dashpot system and the only dashpot i have has c 5 i want the system to have a natural frequency omega0 sqrtfrackm 2 and i want the system to be critically damped 20868$

Added by Stephen C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

10/30/2022

Step 1

Step 1: We are given that the damping coefficient C = 5 and the natural frequency $$\omega_0 = 2$$. Show more…

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I'm designing a mass-spring-dashpot system, and the only dashpot I have has C= 5. I want the system to have a natural frequency $$\omega_0 = \sqrt{\frac{k}{m}} = 2$$, And I want the system to be critically damped so that $$C^2 - 4mk = 0$$. Find the MASS M And spring constant k to complete my creation.