# Gravitational Field From Ring Mass

• edgepflow

#### edgepflow

Most introductory physics textbooks derive the following formula for the gravitational field for a point mass on the on the axis of the ring:

$g_{x}$ = -$\frac{Gmx}{(x^2 + a^2)^{1.5} }$

where,

m = total mass of ring
x = distance from point mass to ring center

Is there a more general treatment for this ring when the point mass is not on the axis?

yes, and for any other system as well. To solve it for an axis you need to have symmetry like the ring, or the math won't be pretty. Basically integrate dF (dF = GM/r^2 dm , dm=ρdV) over the volume to find F(r)

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## 1. What is a gravitational field from ring mass?

A gravitational field from ring mass is a region in space where an object with mass experiences a force due to the gravitational pull of another object with mass, in this case a ring-shaped object.

## 2. How is the strength of a gravitational field from ring mass determined?

The strength of a gravitational field from ring mass is determined by the mass of the ring and the distance from the center of the ring to the point where the gravitational force is being measured.

## 3. What is the formula for calculating the gravitational field from ring mass?

The formula for calculating the gravitational field from ring mass is G * M / r^2, where G is the universal gravitational constant, M is the mass of the ring, and r is the distance from the center of the ring to the point where the gravitational force is being measured.

## 4. How does the shape of a ring affect its gravitational field?

The shape of a ring does not affect its gravitational field. As long as the mass and distance remain the same, the strength of the gravitational field will also remain the same.

## 5. Can the direction of a gravitational field from ring mass change?

No, the direction of a gravitational field from ring mass remains constant. The direction of the gravitational force will always be towards the center of the ring, regardless of the position or orientation of the object experiencing the force.