Natural frequency, damping ratio and steady state amplitude help needed

AI Thread Summary
A 3.0 kg mass suspended from a spring causes a static deflection of 60 mm and experiences viscous damping of 36 N s/m. The discussion seeks to calculate the natural frequency in both Hz and rad/s, the damping ratio, and the steady state amplitude when subjected to a periodic force of 10 N at a frequency of 1.5 Hz. Participants suggest that the original poster should attempt some calculations and refer to relevant textbook examples to better understand the problem. Engaging with the equations and concepts related to the scenario is recommended for clarity. Overall, the thread emphasizes the importance of initial effort in problem-solving before seeking assistance.
CovenK
Messages
1
Reaction score
0
(1) A mass of 3.0 kg is suspended from a vertical spring and produces a static deflection of 60 mm.
The system is also subjected to viscous damping of 36 N s/m.

Calculate the value of the:

(a) natural frequency
i. In Hz
ii. And rad/s

(b) damping ratio

(c) and what will be the steady state amplitude of the oscillations produced when the mass is acted on by a periodic force of amplitude 10 N and frequency 1.5 Hz?


I really don't know how to answer this question, and would appreciate any help if possible.
Many thanks in advance.
 
Physics news on Phys.org
Hi CovenK, welcome to physicsforums :) um, usually people are meant to have done some of the working for the problem before asking for help on the forum. What is it you are stuck on? Have you tried any equations? Maybe the best place to start is to look in the textbook for similar physical situations, and look up the physics words which are in the question.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top