Skip to main content
added 94 characters in body
Source Link
Ernie
  • 8.6k
  • 1
  • 17
  • 28

YouUsing a rubber sheet to visualize gravity may be confused byconfusing in some cases, as the visual representationdeformation of a rubberthe sheet is affected by the size of an object, while gravity is not. The rubber sheet analogy is only a visual representation of gravitation outside a massive body. As gravity is proportional to mass, not size, the analogy becomes awkward if applied to a large hollow object. A hollow object affects the objects outside it, as though all its mass were concentrated at a point in its center. Objects inside it can not so easily be accommodated by the rubber sheet analogy.

It may help your understanding ofto understand why the rubber sheet analogy is inappropriate in some cases if you considerone considers what happens gravitationally inside a hollow massive object. Take a look at this website:

http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/Mathematical_Thinking/grvtysp.htm

Also, see the wikipedia article on the Shell Theorem:

http://en.wikipedia.org/wiki/Shell_theorem

Isaac Newton proved the Shell Theorem, which says that (1) if a massive object is a hollow sphere, it's gravitational effect on external objects is as though all its mass were concentrated in the center of the sphere, and (2) no net gravitational force is exerted by the sphere on any object INSIDE, regardless of the object's location within the shell.

An interesting corollary to this is that if there were a gravitating body which could somehow move unobstructed in a hole through the center of the solid Earth, it would spend its time oscillating from outer surface to outer surface through the center. At least, this is what I got from a Leonard Susskind lecture on gravity. See this website for a "hole through the earth" example:

http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html

Don't forget that where gravity is concerned, size makes no difference!

You may be confused by the visual representation of a rubber sheet. The rubber sheet analogy is only a visual representation of gravitation outside a massive body. As gravity is proportional to mass, not size, the analogy becomes awkward if applied to a large hollow object. A hollow object affects objects outside it, as though all its mass were concentrated at a point in its center. Objects inside it can not so easily be accommodated by the rubber sheet analogy.

It may help your understanding of why the rubber sheet analogy is inappropriate in some cases if you consider what happens gravitationally inside a hollow massive object. Take a look at this website:

http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/Mathematical_Thinking/grvtysp.htm

Also, see the wikipedia article on the Shell Theorem:

http://en.wikipedia.org/wiki/Shell_theorem

Isaac Newton proved the Shell Theorem, which says that (1) if a massive object is a hollow sphere, it's gravitational effect on external objects is as though all its mass were concentrated in the center of the sphere, and (2) no net gravitational force is exerted by the sphere on any object INSIDE, regardless of the object's location within the shell.

An interesting corollary to this is that if there were a gravitating body which could somehow move unobstructed in a hole through the center of the solid Earth, it would spend its time oscillating from outer surface to outer surface through the center. At least, this is what I got from a Leonard Susskind lecture on gravity. See this website for a "hole through the earth" example:

http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html

Don't forget that where gravity is concerned, size makes no difference!

Using a rubber sheet to visualize gravity may be confusing in some cases, as the deformation of the sheet is affected by the size of an object, while gravity is not. The rubber sheet analogy is only a visual representation of gravitation outside a massive body. As gravity is proportional to mass, not size, the analogy becomes awkward if applied to a large hollow object. A hollow object affects the objects outside it as though all its mass were concentrated at a point in its center. Objects inside it can not so easily be accommodated by the rubber sheet analogy.

It may help to understand why the rubber sheet analogy is inappropriate in some cases if one considers what happens gravitationally inside a hollow massive object. Take a look at this website:

http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/Mathematical_Thinking/grvtysp.htm

Also, see the wikipedia article on the Shell Theorem:

http://en.wikipedia.org/wiki/Shell_theorem

Isaac Newton proved the Shell Theorem, which says that (1) if a massive object is a hollow sphere, it's gravitational effect on external objects is as though all its mass were concentrated in the center of the sphere, and (2) no net gravitational force is exerted by the sphere on any object INSIDE, regardless of the object's location within the shell.

An interesting corollary to this is that if there were a gravitating body which could somehow move unobstructed in a hole through the center of the solid Earth, it would spend its time oscillating from outer surface to outer surface through the center. At least, this is what I got from a Leonard Susskind lecture on gravity. See this website for a "hole through the earth" example:

http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html

Don't forget that where gravity is concerned, size makes no difference!

added 419 characters in body
Source Link
Ernie
  • 8.6k
  • 1
  • 17
  • 28

TheYou may be confused by the visual representation of a rubber sheet. The rubber sheet analogy is only a visual representation of gravitation outside a massive body. As gravity is proportional to mass, not size, the analogy becomes awkward if applied to a large hollow object. A hollow object affects objects outside it, as though all its mass were concentrated at a point in its center. Objects inside it can not so easily be accommodated by the rubber sheet analogy.

I thinkIt may help your question is about understanding of why the rubber sheet analogy is inappropriate in some cases if you consider what may happenhappens gravitationally inside a hollow massive object. Take a look at this website:

http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/Mathematical_Thinking/grvtysp.htm

Also, see the wikipedia article on the Shell Theorem:

http://en.wikipedia.org/wiki/Shell_theorem

Isaac Newton proved the Shell Theorem, which says that (1) if a massive object is a hollow sphere, it's gravitational effect on external objects is as though all its mass were concentrated in the center of the sphere, and (2) no net gravitational force is exerted by the sphere on any object insideINSIDE, regardless of the object's location within the shell.

An interesting corollary to this is that if there were a gravitating body which could somehow move unobstructed withinin a hole through the center of the solid Earth, it would spend its time oscillating from outer surface to outer surface through the center. At least, this is what I got from a Leonard Susskind lecture on gravity. See this website for a "hole through the earth" example:

http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html

Don't forget that where gravity is concerned, size makes no difference!

The rubber sheet analogy is only a visual representation of gravitation outside a massive body.

I think your question is about understanding what may happen inside a hollow massive object. Take a look at this website:

http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/Mathematical_Thinking/grvtysp.htm

Also, see the wikipedia article on the Shell Theorem:

http://en.wikipedia.org/wiki/Shell_theorem

Isaac Newton proved the Shell Theorem, which says that (1) if a massive object is a hollow sphere, it's gravitational effect on external objects is as though all its mass were concentrated in the center of the sphere, and (2) no net gravitational force is exerted by the sphere on any object inside, regardless of the object's location within the shell.

An interesting corollary to this is that if there were a gravitating body which could somehow move unobstructed within the solid Earth, it would spend its time oscillating from outer surface to outer surface through the center. At least, this is what I got from a Leonard Susskind lecture on gravity. See this website for a "hole through the earth" example:

http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html

You may be confused by the visual representation of a rubber sheet. The rubber sheet analogy is only a visual representation of gravitation outside a massive body. As gravity is proportional to mass, not size, the analogy becomes awkward if applied to a large hollow object. A hollow object affects objects outside it, as though all its mass were concentrated at a point in its center. Objects inside it can not so easily be accommodated by the rubber sheet analogy.

It may help your understanding of why the rubber sheet analogy is inappropriate in some cases if you consider what happens gravitationally inside a hollow massive object. Take a look at this website:

http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/Mathematical_Thinking/grvtysp.htm

Also, see the wikipedia article on the Shell Theorem:

http://en.wikipedia.org/wiki/Shell_theorem

Isaac Newton proved the Shell Theorem, which says that (1) if a massive object is a hollow sphere, it's gravitational effect on external objects is as though all its mass were concentrated in the center of the sphere, and (2) no net gravitational force is exerted by the sphere on any object INSIDE, regardless of the object's location within the shell.

An interesting corollary to this is that if there were a gravitating body which could somehow move unobstructed in a hole through the center of the solid Earth, it would spend its time oscillating from outer surface to outer surface through the center. At least, this is what I got from a Leonard Susskind lecture on gravity. See this website for a "hole through the earth" example:

http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html

Don't forget that where gravity is concerned, size makes no difference!

Source Link
Ernie
  • 8.6k
  • 1
  • 17
  • 28

The rubber sheet analogy is only a visual representation of gravitation outside a massive body.

I think your question is about understanding what may happen inside a hollow massive object. Take a look at this website:

http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/Mathematical_Thinking/grvtysp.htm

Also, see the wikipedia article on the Shell Theorem:

http://en.wikipedia.org/wiki/Shell_theorem

Isaac Newton proved the Shell Theorem, which says that (1) if a massive object is a hollow sphere, it's gravitational effect on external objects is as though all its mass were concentrated in the center of the sphere, and (2) no net gravitational force is exerted by the sphere on any object inside, regardless of the object's location within the shell.

An interesting corollary to this is that if there were a gravitating body which could somehow move unobstructed within the solid Earth, it would spend its time oscillating from outer surface to outer surface through the center. At least, this is what I got from a Leonard Susskind lecture on gravity. See this website for a "hole through the earth" example:

http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html