Calculating Moment of Inertia for Square Particle System

AI Thread Summary
To calculate the moment of inertia for a system of four 30g masses at the vertices of a square with 90cm sides, the formula I = mr² is applied. Each mass is located at a distance of 45cm from the center, determined as the hypotenuse of a right triangle formed by half the square's sides. The moment of inertia is then calculated by multiplying the individual contributions of each mass by four. This approach is confirmed to be correct for the given configuration. The solution effectively demonstrates the application of the moment of inertia formula in a square particle system.
duplaimp
Messages
33
Reaction score
0

Homework Statement


There are four masses (particles) with a mass of 30gr each and they are at the vertices of a square that has each side with a length of 90cm.
What is the moment of inertia of this system through a perpendicular axis that is at the center of the square?

The Attempt at a Solution


My idea is to use the moment of inertia I = mr^{2} (Point mass m at a distance r from the axis of rotation.)
Then the distance will be the hypotenuse of a right triangle that has each side with 45cm and putting that into the moment of inertia and multiply by 4

Is this correct?
 
Physics news on Phys.org
Yes, that is correct.
 
  • Like
Likes 1 person
Thank you
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Trying to understand the logic behind adding vectors with an angle between them'

Thread 'Trying to understand the logic behind adding vectors with an angle between them'

My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
View full post »

Similar threads

Moment of inertia of a disk about an axis not passing through its CoM
Replies
11
Views
3K
What is the "r" in the moment of inertia?
Replies
13
Views
2K
Correct Use of the Parallel Axis Theorem for Moment of Inertia
Replies
2
Views
2K
Moment of inertia of T bar about 3 axes
Replies
21
Views
2K
Parallel Axis Theorem Not Working
Replies
28
Views
1K
Moment of inertia of a rod bent into a square
Replies
12
Views
2K
How do calculate this moment of inertia?
Replies
3
Views
1K
Calculate the moment of inertia of this body
Replies
4
Views
1K
Quick question about moment of inertia
Replies
21
Views
2K
Moment of Inertia of this combined system?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top