What two factors can make an object stable?

The stability of an object is dependent on two factors:

The base width of the object.
The center of gravity.

What are structures for Grade 3?

A structure is a solid that has a shape, size, and purpose. It holds a load. Example: A tennis shoe is a structure. It holds our foot securely so we can walk or run.

What is an example of something in unstable equilibrium?

A system is in unstable equilibrium if, when displaced, it experiences a net force or torque in the same direction as the displacement from equilibrium. A system in unstable equilibrium accelerates away from its equilibrium position if displaced even slightly. An obvious example is a ball resting on top of a hill.

What happens stable equilibrium?

equilibrium is said to be stable if small, externally induced displacements from that state produce forces that tend to oppose the displacement and return the body or particle to the equilibrium state. Examples include a weight suspended by a spring or a brick lying on a level surface.

How do you find the equilibrium point on a graph?

When two lines on a diagram cross, this intersection usually means something. On a graph, the point where the supply curve (S) and the demand curve (D) intersect is the equilibrium.

What is a sink in math?

A local sink is a node of a directed graph with no exiting edges, also called a terminal (Borowski and Borwein 1991, p. 401; left figure). A global sink (often simply called a sink) is a node in a directed graph which is reached by all directed edges (Harary 1994, p. 201; right figure).

How do you know if its a source or sink?

Classification of equilibrium points.

If f'(p)> 0 then p is a source.
If f'(p) < 0 then p is a sink.
If f'(p) = 0 then we get no information.

Can a node be a source and a sink?

The node point of the equation y = f(y) can either disappear, or split into one sink and one source, when the equation is perturbed with a small amount ε and becomes: y = f(y) + ε.

Is spiral sink stable?

This is a spiral sink and it is stable. That gives one picture of eigenvalues : Real or complex.

Is a saddle point stable or unstable?

The saddle is always unstable; Focus (sometimes called spiral point) when eigenvalues are complex-conjugate; The focus is stable when the eigenvalues have negative real part and unstable when they have positive real part.

Are saddle points ever stable?

Then a saddle point is a hyperbolic periodic point whose stable and unstable manifolds have a dimension that is not zero.

Are saddles asymptotically stable?

The result above shows that each saddle point is stable and that each path- connected component of Saddle(F) is asymptotically stable.