Moment of Inertia of square based pyramid?

AI Thread Summary
The discussion focuses on calculating the moment of inertia of a regular square pyramid spun around its axis of symmetry. Key concepts include the volume of the pyramid and the center of mass, which are essential for the calculation. The participant has successfully determined the volume and center of mass but struggles with obtaining the correct moment of inertia, consistently missing factors in their calculations. A suggested approach involves analyzing the pyramid as a series of stacked square slabs rotated about their center. Accurate calculation of the moment of inertia is crucial for understanding the dynamics of the pyramid's rotation.
hewey13
Messages
1
Reaction score
0

Homework Statement


A regular square pyramid (base length a, height b) is spun about its axis of symmetry z.
Calculate its moment of inertia about the z axis

Homework Equations


volume of pyramid
centre of mass


The Attempt at a Solution


have found volume and centre of mass. I know the answer to the moment of inertia but when i try to get to it I am always out by factors.
 
Physics news on Phys.org
Try looking at it as a stack of square slabs rotated about their center.
 

Similar threads

Engineering Calculating moment of inertia about z axis
Replies
5
Views
4K
Force to lift a pyramid that is sitting in a water tank
Replies
9
Views
3K
How to Calculate Torque for a Rotating Rack?
Replies
12
Views
2K
Subtracting object MOI from assembly to get other parts MOI?
Replies
3
Views
2K
Moment of inertia in shear stress formula
Replies
5
Views
3K
I Resolve moment of inertia at an angle
Replies
2
Views
2K
Question about an 8th grade math problem
Replies
20
Views
2K
Moment of inertia avoid double integral?
Replies
10
Views
3K
How to use Moments of Inertia to find Max Acceleration (sportbike pre-wheelie)
Replies
9
Views
8K
Moment of Inertia of something that rotates
Replies
15
Views
2K

Hot Threads

Recent Insights

Back
Top