Mass distribution Definition and 38 Threads

Hello. I'm studying rotation in classical mechanics, and I have a question about how the mass distribution of an asymmetric body affects angular momentum when external forces, such as torques, are applied off the center of mass. I know that the moment of inertia depends on the mass and the axis...

I searched online but I couldn't find sources to support my investigation, the ones I found are either about formula cars or trucks. Links, sources and especially articles will be useful. thanks.

I want to find a dimensionless value that differentiates between concentrated mass systems such as the solar system and dispersed mass systems such as a galaxy. I assume spherical and radial symmetry, consider both the cases for point masses or smooth mass distributions. The only value I can...

Has anyone looked into the details of stellar orbital speeds and required (visible) mass distribution in the Milky Way? Doing some math here - if the local mass density is significantly higher in the inner 10-15% of the galaxy, and then lower and gradually thinning outwards in the disk, we will...

If two sets of objects, of similar size but different mass, were to be part of a rotating celestial system, how differently would they be distributed? Would the distribution of the lower-mass objects be more spread out, while the higher-mass objects would be concentrated toward the centre?

I attached a Jpeg with my attempted solution but I´m not sure if I´m on the right way... I hope for a correction in my calculations

When two BHs collide the resulting single BH bulges and contorts until it settles down to a stable state. 1) Does this mean that during this 'settling' period the mass internal to the merged BH is not (yet) a singularity, but instead two 'singularities' spinning down around each other in...

Is E the correct answer because I think angular velocity is independent of mass distribution of the object? Thanks

I have a test coming up next week and while doing some practice questions I found one I can't wrap my head around. The question is: A pyramid (assume uniform density) is divided in two parts by a horizontal plane through its center of mass. How do the masses of the two parts compare ? There are...

Let's say 5 masses are arranged on x axis. At x=1, 2kg X=2, 4kg X=3, 6kg X=4, 8kg X=5, 10 kg Obviously, there is a total mass of 30 kgIf the mass is distributed continuously by the function M(x) = 2x, then From x= 0 to x=5, there is 25 kg of mass from the simple integral. WHY IS THERE LESS...

speed? This question emerged in my mind while studying a discrete and continuous mathematical model of a falling slinky. In the discrete model, we suppose an instantaneous interaction between mass points at a distance, so the action propagates through the chain of mass points with infinite...

I've searched for a formula of galaxy mass Distribution formula along the radius, often the papers say: ρ∝ex ( ρ is the surface density, x is distance from the Center of the galaxy). is it correct without DM? Or is there any other correct formula?

I'm looking to measure the weight of an tennis racket at different lengths. Obviously If I stick it on the scale it will give roughly the sam,e weight no matter if I put the whole racket on, or a third of the racket. Would there be a way I could measure the weight, of say the first third of an...

This isn't actually a homework problem, but I am still posting it here. I am confused by rotational inertia. How does mass distribution affect rotational inertia? Because I know it should, but I don't know how it would.

Note: I have noted that one of the formulas I have provided does not show up on my webpage in preview mode and so have also made it as an attachment. Quick summary: I have found two different websites that offer the equation that I am looking for in different forms, but I am starting to think...

Homework Statement Given a semi-infinite stick (that is, one that goes off to infinity in one direction), determine how its density should depend on position so that it has the following property: If the stick is cut at an arbitrary location, the remaining semi-infinite piece will balance on a...

Hi, Where can I find a database with the mass distribution and its movement in the well-known universe? Best wishes, Jens

Hi there, my question is along the lines of the following. I understand that in an experiment we obtain a distribution of masses for a given particle, due to the finite resolution of the detectors. In terms of a fundamental (if that even makes sense) decay width, what is the decay width? Is it...

Hello, I would like to ask the following question : --> I have an object of mass M (represented by the blue potato in the two attached drawings). --> I know the coordinates (x,y) of its Center of Gravity (reprensented by big red cross). --> I also know the coordinates of its contact points to...

Hi. This may be a trivial question, but I'm unable to find a definitve answer. How is the mass on a atomic nucleus distributed? I read somewhere that it was uniformly distributed, and somewhere else that it resembled a normal distribution. Can you help me out? Thank you.

Isn't the point of center of mass is where the masses on both sides are equally distributed? Why is it not the case here?

Homework Statement An obect whose mass is distributed according to function m(r)=m0e-r, for r ranging from 0 to ∞. Calculate total mass of the object. Write down and evaluate appropriate integral. 2. The attempt at a solution well, I wasnt sure really how to start but thought it may be...

why do we say that nuclear mass distribution and nuclear charge distribution follows the same function while nucleus has both charged and uncharged particles?

Hi, I am trying to get a better understanding of the mass distribution as described by the LCDM cosmological model and data that might be more anchored in observation. What I mean by this is that the LCDM model appears to operate on the assumption of the large-scale homogeneity of the universe...

Hi, I am amidst writing my 4k word high school physics paper (IB extended essay) and am in need of some help/guidance. The experiment I am conducting is as stated above. I have been changing the distribution of a set of masses from front, middle and rear on a model car and recording changes in...

The field outside a body with spherical mass distribution is well known but for a non simmetrical body (or a almost simmetrical body like the earth) which is the approach?. Do you know any reference? thank you

In the popular physics books that I enjoy reading, black holes are described as containing a singularity of zero volume that contains 100% of the mass. I can't envision this, since 100% of the spacetime inside the event horizon would then be empty space except for virtual particles. Is this...

Why can't we know the mass distribution inside a black hole. If we are observing from outside the event horizon I couldn't tell how the mass was moving around inside the black hole, I could just figure out how much was in there by measuring the G field.

Homework Statement Suppose that one is given a lump of clay of total mass M and constant density. Let P denote a particular point in space. In what way should one shape and position the clay so that the gravitational field in point P is maximum possible? It is assumed that the clay stays in...

Homework Statement If the polar icecaps melted, the resulting water would spread over the entire earth. This new mass distrubtion would tend to make the length of a day: a.longer,b.shorter,c.be unchanged,d.explode Homework Equations Mass does distribute uniformly but I am not sure how...

Hi all, I'm writing a car simulation for a game engine, and this problem has me going bonkers. For a car with known mass and center of mass, how can you figure out the "share" of mass that each tire is supporting? For standard tire arrangements (4 tires on 2 axles) I know it's just a ratio...

Hey all, New to the forum (obviously, since this is my first post). I've been scouring the internet trying to find some guidance on a problem I've been having, but have had no luck. Let me just say first off that my physics and math backgrounds are fairly elementary. I have minors in both...

Hi. Gauss' law applied to gravity states that the gravitational flux through a given surface is proportional to the total enclosed mass. Considering a gaussian surface which encloses a continuous mass distribution, an arbitrary re-distribution of the total mass must yield the same value...

I conjecture that only spherical symmetric mass distribution can produce radial gravitational force field (according Newton's law of gravitation). Can anybody prove or disprove this conjecture?

What is a typical distribution of mass in a typical spiral galaxy. I understand most is in the centre, but how much? How much in the outer regions? Can anyone point me to graphs or tables? Much appreciated.

how does one prove \tau=I\alpha for continious mass distribution where \tau is the net external torque along the axis of rotation I is the moment of inertia,and \alpha is the angular accelaration ... i know the proof when the mass distribution is discrete...

Hello everyone... can someone help me with this problem please: The rotation curve V(r) for a mass distribution characterizes the rotational velocity of a test particle in orbit in its gravitational field as a function of radius from its center. Suppose you have a spherically symmetric mass...

formula Help! i got this question but i don;t know which formula to use Q - A 1m plank of Mass 1.0kg is placed on two scales which are at either end of the plank. Masses are hung underneath the plank. Mass A = 5.0kg at a distance of 0.30m from the left of the plank Mass B = 5.0kg at a...