Differential equation/ spring application

Punchlinegirl
Messages
221
Reaction score
0
A mass weighing 8 lb stretches a spring 1.5 in. The mass is also attached to a damper with coefficient γ . Determine the value of γ for which the system is critically damped; be sure to give units for γ .

I have no idea where to start. Can someone help me out?
 
Physics news on Phys.org
Punchlinegirl said:
A mass weighing 8 lb stretches a spring 1.5 in. The mass is also attached to a damper with coefficient γ . Determine the value of γ for which the system is critically damped; be sure to give units for γ .

I have no idea where to start. Can someone help me out?
You have to review your text on the general solution to the differential equation for damped simple harmonic motion. There is a good explanation http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html#c1"

AM
 
Last edited by a moderator:
Punchlinegirl said:
A mass weighing 8 lb stretches a spring 1.5 in. The mass is also attached to a damper with coefficient γ . Determine the value of γ for which the system is critically damped; be sure to give units for γ .

I have no idea where to start. Can someone help me out?
The fact that "A mass weighing 8 lb stretches a spring 1.5 in." tells you the spring constant. What is the standard differential equation for a spring with damper?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Given unit impulse response, obtain differential equation
Replies
7
Views
1K
2nd order ODE: modeling a spring
Replies
7
Views
2K
A Decoupling of a spring mass system
Replies
5
Views
1K
Why can't a critical point of a system of DEs be complex?
Replies
27
Views
2K
ODE Applications - Unforced Mechanical Vibrations
Replies
5
Views
4K
Modeling a Damped Spring System with Differential Equations
Replies
4
Views
2K
Use Wronskian method in solving the given second order differential equation
Replies
7
Views
2K
Spring Problem, Differential Equations
Replies
1
Views
2K
How to solve spring mass damper system manually?
Replies
16
Views
3K
Question on Ordinary Differential Eqn
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top