When Can You Pretend All the Mass is at the Center of Mass?

AI Thread Summary
The discussion centers on when it is appropriate to treat an object's mass as concentrated at its center of mass. It highlights that this simplification is useful for analyzing the motion of extended objects, especially when different parts are moving at varying speeds. However, it notes that in scenarios like car crash testing or analyzing forces on airplanes, treating the object as a single point mass may not be accurate. The conversation reflects on the practical applications of center of mass in real-world situations, particularly in human movement and engineering contexts. Understanding these limitations is crucial for accurate modeling in physics.
Dr_bug
Messages
16
Reaction score
0

Homework Statement


Discuss when you can and can’t “pretend all the mass of an object is concentrated at the center of mass”.

Homework Equations





The Attempt at a Solution


So I don't really understand what this is supposed to mean. I know that you utilize center of mass when trying to describe the motion of an extended object where different parts of the object is moving with different speeds. But so far i haven't come across anything you really couldn't use this... and explosion problem maybe... i don't really know and would appreciate some input thanks
 
Physics news on Phys.org
Maybe when explaining the motion of large objects, like aeroplanes or human movements
 
well you actually do use center of mass to describe human movements because that's an example that my textbook uses...
 
Dr_bug said:
well you actually do use center of mass to describe human movements because that's an example that my textbook uses...

Well I meant like in testing car crashes, I don't think they consider the entire body as one point mass.


OR analysis of the forces on an aeroplane.
 
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 .
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...
Thread 'Correct statement about a reservoir with an outlet pipe'
The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
Back
Top