How Do You Calculate the Moment of Inertia for Displaced Sheets?

AI Thread Summary
To calculate the moment of inertia for four displaced sheets, the formula I=(mh^2/3)+(mw^2/12) is used for each individual sheet. Since the sheets are displaced by a distance d from the center, the parallel axis theorem may also be applied to account for this displacement. The discussion emphasizes that moments of inertia are additive, allowing for the total moment of inertia to be determined by summing the individual contributions. The provided links offer additional resources for understanding the calculations involved. Accurate application of these principles will yield the required moments of inertia around the specified axes.
alaam2005
Messages
5
Reaction score
0

Homework Statement


Four sheets are displaced by d from the center and they are equal and have w by h dimensions with a mass m. It is required to find the moment of inertia around the axes x and z as shown in the figure attached.


Homework Equations



I=(mh^2/3)+(mw^2/12)

The Attempt at a Solution


http://img689.imageshack.us/img689/852/sheet.jpg
 
Last edited by a moderator:
Physics news on Phys.org

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

How to calculate the moment of inertia of a bar with two masses on it?
Replies
24
Views
4K
How do calculate this moment of inertia?
Replies
3
Views
1K
Moment of Inertia in Planet System
Replies
9
Views
2K
Finding the Moment of Inertia for a Rectangular Sheet
Replies
1
Views
4K
How to calculate the moment of inertia of a system with multiple bodies?
Replies
1
Views
2K
Why Use Area Instead of Mass in Moment of Inertia Formula?
Replies
7
Views
2K
What is the Moment of Inertia of a Slender Rod in a Cable System?
Replies
3
Views
2K
Moment of Inertia of Solid Sphere - Proof
Replies
3
Views
5K
Proving generality of moment of inertia
Replies
4
Views
2K
Moment of inertia for this assembly
Replies
2
Views
7K

Hot Threads

Recent Insights

Back
Top