Rotational Inertia of Rectangular Cube in a Hoop

Click For Summary
The discussion centers on the rotational inertia of a rectangular cube within a hoop. It clarifies that the equation for a rectangular cube differs from that of a hoop or solid cylinder. The rotational inertia of a cube about an axis perpendicular to a face and through its center of mass is given as 1/6 m s^2. There is confusion regarding the term "rectangular cube," prompting a request for clarification. Understanding the rotational inertia of compound objects involves summing the inertias of individual components.
skywolf
Messages
81
Reaction score
0
i know that the equation for rotational inertia of a hoop is different than the equation for a solid cylinder, but what is the equation for a rectangular cube in a hoop?
_
\ ->
\ (|) <--is what I mean if the diagram helps at all
<-
 
Physics news on Phys.org
I have no idea what that diagram is supposed to show, but the rotational inertia of a compound object is just the sum of the rotational inertias of each component. The rotational inertia of a cube of side s about an axis perpendicular to a face and passing through its center of mass is: 1/6 m s^2
 
What do you mean by the term 'rectangular cube'?
 

Thread 'Is energy really conserved?'

I built a device designed to brake angular velocity which seems to work based on below, i used a flexible shaft that could bow up and down so i could visually see what was happening for the prototypes. If you spin two wheels in opposite directions each with a magnitude of angular momentum L on a rigid shaft (equal magnitude opposite directions), then rotate the shaft at 90 degrees to the momentum vectors at constant angular velocity omega, then the resulting torques oppose each other...
View full post »

Similar threads

Why Do Different Objects Share Similar Moments of Inertia?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Resolve moment of inertia at an angle
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Moment of Inertia about an axis and Torque about a point
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Moment of inertia of human body with limbs at an angle
  • · Replies 12 ·
Replies
12
Views
2K
Rotational inertia: a contradiction?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Inertia of body moving about two distinct parallel axes
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Effects of External Torques on the Angular Momentum of Asymmetric Bodies
  • · Replies 3 ·
Replies
3
Views
2K
Rotational Inertia: Hoop vs Disk
  • · Replies 19 ·
Replies
19
Views
4K
Can any object have moment of inertia greater than that of a hoop?
  • · Replies 9 ·
Replies
9
Views
2K
High School What forces are required to tumble a block?
  • · Replies 16 ·
Replies
16
Views
2K