Register to reply

Stiffness in mass spring system

by Smileyxx
Tags: mass, spring, stiffness
Share this thread:
Smileyxx
#1
Nov16-12, 04:27 PM
P: 35
1. The problem statement, all variables and given/known data
What happens to the frequency of oscillation if stiffness increases and why?


2. Relevant equations

?

3. The attempt at a solution
Frequency increases but trying to figure out why.
Phys.Org News Partner Science news on Phys.org
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker
SHISHKABOB
#2
Nov16-12, 04:30 PM
P: 614
By stiffness I'm assuming you mean the spring constant, often known as k. It's found in Hooke's law F = -kx where F is the force the spring is exerting and x is the distance from the equilibrium point.

Don't you have some equations relating the frequency of the oscillations of the spring-mass system and the spring constant of the spring?
Smileyxx
#3
Nov16-12, 04:34 PM
P: 35
Quote Quote by SHISHKABOB View Post
By stiffness I'm assuming you mean the spring constant, often known as k. It's found in Hooke's law F = -kx where F is the force the spring is exerting and x is the distance from the equilibrium point.

Don't you have some equations relating the frequency of the oscillations of the spring-mass system and the spring constant of the spring?
a=[2pie f]^2x. So if k increases f increases which increases a(acceleration) and according to the formula given at the start frequency increases. If that make sense

SHISHKABOB
#4
Nov16-12, 04:44 PM
P: 614
Stiffness in mass spring system

[itex]a = \left( 2 \pi f\right)^{2x}[/itex] ?

I don't recognize that equation >.> I'm very sorry

do you recognize

[itex]x \left( t \right) = Acos \left( \omega t - \phi \right)[/itex]

where

[itex]\omega = \sqrt{ \frac{k}{m}}[/itex]

is the angular frequency of the oscillation, A is the amplitude and [itex]\phi[/itex] is the phase shift?
Smileyxx
#5
Nov16-12, 04:53 PM
P: 35
Quote Quote by SHISHKABOB View Post
[itex]a = \left( 2 \pi f\right)^{2x}[/itex] ?

I don't recognize that equation >.> I'm very sorry

do you recognize

[itex]x \left( t \right) = Acos \left( \omega t - \phi \right)[/itex]

where

[itex]\omega = \sqrt{ \frac{k}{m}}[/itex]

is the angular frequency of the oscillation, A is the amplitude and [itex]\phi[/itex] is the phase shift?
Its a = \left( 2 \pi f\right)^{2} x.
I dint knew the 2nd equation but i get it now. stiffness is proportional to frequency according to that.but does the natural frequency of spring increases as well?
SHISHKABOB
#6
Nov16-12, 05:03 PM
P: 614
Quote Quote by Smileyxx View Post
Its a = \left( 2 \pi f\right)^{2} x.
I dint knew the 2nd equation but i get it now. stiffness is proportional to frequency according to that.but does the natural frequency of spring increases as well?
[itex]a = \left( 2 \pi f\right)^{2}x[/itex] makes much more sense :)

angular frequency is just the natural frequency times 2π

or

[itex] \omega = 2 \pi f[/itex]
Smileyxx
#7
Nov16-12, 05:04 PM
P: 35
Quote Quote by SHISHKABOB View Post
[itex]a = \left( 2 \pi f\right)^{2}x[/itex] makes much more sense :)

angular frequency is just the natural frequency times 2π

or

[itex] \omega = 2 \pi f[/itex]
Thanks alot


Register to reply

Related Discussions
Mass-spring-mass system rotating about its centre of mass relativistically Advanced Physics Homework 0
Mass and Stiffness Matrices for MDOF Torsional System Engineering, Comp Sci, & Technology Homework 0
Three spring two mass system, compression of the middle spring Introductory Physics Homework 3
Natural Frequency of Spring (stiffness k) with mass m Introductory Physics Homework 0
What happens in acompletely reversing mass-spring system? (spring turns inside out) Introductory Physics Homework 2