Go Back   Physics Help Forum > College/University Physics Help > General Physics

General Physics General Physics Help Forum

Like Tree1Likes
  • 1 Post By benit13
Reply
 
LinkBack Thread Tools Display Modes
Old Dec 6th 2018, 03:09 AM   #1
Junior Member
 
Join Date: Dec 2018
Posts: 2
Spring oscillation problem

The questions reads: two masses oscillate on light springs. The second is half the first mass, with twice the spring constant of the first. Which system will have greater frequency, and what is the ratio of the frequency of the second mass to the first.

I have T1=2pi x sq rt of m/k
T2=2pi x sq rt of (m/2)/2k=2pi x sq rt m/4k



I've looked at the answer key and the next step has T2=2pi/2 x sq rt m/k, but i'm not seeing how it got there. I assume it's an algebraic process that I don't understand, can anyone help?
xenu is offline   Reply With Quote
Old Dec 6th 2018, 05:01 AM   #2
Senior Member
 
Join Date: Oct 2017
Location: Glasgow
Posts: 260
The first part seems correct to me.

Originally Posted by xenu View Post
Which system will have greater frequency, and what is the ratio of the frequency of the second mass to the first.

I've looked at the answer key and the next step has T2=2pi/2 x sq rt m/k, but i'm not seeing how it got there. I assume it's an algebraic process that I don't understand, can anyone help?
Frequency is related to the period:

$\displaystyle T = \frac{1}{f}$

Therefore, the ratio of the frequencies is

$\displaystyle \frac{f_2}{f_1} = \frac{T_1}{T_2} = \frac{2 \pi \sqrt{\frac{m}{k}}}{2 \pi \sqrt{\frac{m}{4k}}}$

Have a go at simplifying this to a nicer form...
topsquark likes this.
benit13 is online now   Reply With Quote
Old Dec 6th 2018, 05:13 AM   #3
Junior Member
 
Join Date: Dec 2018
Posts: 2
I got it now, the issue was I didn't realize I could split the sq. root to get like terms. Thanks
xenu is offline   Reply With Quote
Reply

  Physics Help Forum > College/University Physics Help > General Physics

Tags
algebra, oscillation, problem, spring


« Fundamental Laws | - »

Thread Tools
Display Modes


Similar Physics Forum Discussions
Thread Thread Starter Forum Replies Last Post
Oscillation problem MishkaMN Periodic and Circular Motion 5 Nov 11th 2014 03:20 AM
Oscillation Problem HeatherN Waves and Sound 5 Sep 6th 2010 08:08 AM
Block and Spring Problem fireemblem13 Kinematics and Dynamics 1 Dec 30th 2009 08:23 PM
Problem of Uniform Acceleration & Oscillation taichi2910 Kinematics and Dynamics 2 Jun 3rd 2009 05:15 PM
Spring Problem dsptl Kinematics and Dynamics 1 Oct 6th 2008 03:09 PM


Facebook Twitter Google+ RSS Feed