My Math Forum  

Go Back   My Math Forum > Science Forums > Physics

Physics Physics Forum


Thanks Tree2Thanks
  • 1 Post By skeeter
  • 1 Post By skeeter
Reply
 
LinkBack Thread Tools Display Modes
June 15th, 2019, 11:47 PM   #1
Senior Member
 
Joined: Aug 2014
From: India

Posts: 470
Thanks: 1

Find the moment of inertia of the system about the z-axis.

A mass of 1 kg is placed at (1m,2m,0). Another mass of 2kg is placed at (3m,4m,0). Find the moment of inertia of the system about the z-axis.
Ganesh Ujwal is offline  
 
June 16th, 2019, 06:13 AM   #2
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 3,016
Thanks: 1600

Quote:
A mass of 1 kg is placed at (1m,2m,0). Another mass of 2kg is placed at (3m,4m,0). Find the moment of inertia of the system about the z-axis.
for a set of $n$ fixed point masses, $\displaystyle I = \sum_{i=1}^n m_i \cdot r_i^2$

in this case ...

$\displaystyle I = \sum_{i=1}^2 m_1 (x^2+y^2)$
Thanks from topsquark
skeeter is offline  
June 16th, 2019, 11:57 PM   #3
Senior Member
 
Joined: Aug 2014
From: India

Posts: 470
Thanks: 1

What values of $\displaystyle x$ and $\displaystyle y$ should I substitute in $\displaystyle (x^2+y^2)$?
Ganesh Ujwal is offline  
June 17th, 2019, 05:32 AM   #4
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 3,016
Thanks: 1600

Quote:
Originally Posted by Ganesh Ujwal View Post
What values of $\displaystyle x$ and $\displaystyle y$ should I substitute in $\displaystyle (x^2+y^2)$?
Quote:
A mass of 1 kg is placed at (1m,2m,0). Another mass of 2kg is placed at (3m,4m,0).
$\displaystyle \sum_{i=1}^2 m_i(x_i^2+y_i^2) = (1 \, kg)[(1 \, m)^2 + (2 \, m)^2] + (2 \, kg)[(3 \, m)^2 + (4 \, m)^2] $
Thanks from topsquark
skeeter is offline  
Reply

  My Math Forum > Science Forums > Physics

Tags
find, inertia, moment, system, zaxis



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
moment of inertia markosheehan Physics 5 December 26th, 2016 10:16 PM
moment of inertia about y-axis for solid enclosed by z = (1-x^2) , z= 0 , y = 1 and y xl5899 Calculus 9 November 5th, 2016 09:20 AM
moment of inertia markosheehan Physics 5 September 4th, 2016 11:59 AM
moment of inertia avi Physics 3 December 30th, 2015 05:11 AM
Moment of Inertia MasterOfDisaster Physics 9 June 30th, 2011 05:29 PM





Copyright © 2019 My Math Forum. All rights reserved.