 My Math Forum Find the moment of inertia of the system about the z-axis.
 User Name Remember Me? Password

 Physics Physics Forum

 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. June 16th, 2019, 06:13 AM   #2
Math Team

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 ...

$\displaystyle I = \sum_{i=1}^2 m_1 (x^2+y^2)$ 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 $\displaystyle (x^2+y^2)$? June 17th, 2019, 05:32 AM   #4
Math Team

Joined: Jul 2011
From: Texas

Posts: 3,016
Thanks: 1600

Quote:
 Originally Posted by Ganesh Ujwal 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).
$\displaystyle \sum_{i=1}^2 m_i(x_i^2+y_i^2) = (1 \, kg)[(1 \, m)^2 + (2 \, m)^2] + (2 \, kg)[(3 \, m)^2 + (4 \, m)^2]$ Tags find, inertia, moment, system, zaxis Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post markosheehan Physics 5 December 26th, 2016 10:16 PM xl5899 Calculus 9 November 5th, 2016 09:20 AM markosheehan Physics 5 September 4th, 2016 11:59 AM avi Physics 3 December 30th, 2015 05:11 AM MasterOfDisaster Physics 9 June 30th, 2011 05:29 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top      