How do you know whether a body is in the state of stable or unstable equilibrium due to the position of its centre of gravity?
A body is in stable equilibrium under the action of gravity if its center of mass is directly over its base of support (Fig.
Stable equilibrium exists when the object is in its lowest energy condition; metastable equilibrium exists when additional energy (ΔG) must be introduced before the object can reach true stability; unstable equilibrium exists when no additional energy is needed before reaching metastability or stability.
A body is said to be in stable equilibrium if, when disturbed from equilibrium, it experiences a net force in a direction opposite to the direction of the displacement.
Assertion : For a floating body to be in stable equilibrium, its centre of buoyancy must be located above the centre of gravity. <br> Reason : The torque produced by the weight of the body and the upthrust will restore body back to its normal position, after the body is disturbed.
In terms of the solution of a differential equation, a function f(x) is said to be stable if any other solution of the equation that starts out sufficiently close to it when x = 0 remains close to it for succeeding values of x.
The stability of atoms depends on whether or not their outer-most shell is filled with electrons. If the outer shell is filled, the atom is stable. Atoms with unfilled outer shells are unstable, and will usually form chemical bonds with other atoms to achieve stability.
Example: A marble placed at the bottom of a hemispherical bowl. Unstable equilibrium: When a particle is displaced slightly from a position, then a force acting on it tries to displace the particle further away from the equilibrium position, it is said to be in unstable equilibrium.
Ans. In order to measure the stability of an object, two factors need to be determined that are the width of the object's base and the height of the object's centre of mass. The position of the centre helps one to know whether the object will remain standing or tip over.
The position of the centre of gravity
A body having its centre of gravity very low is more stable compared to one with a raised centre of gravity. The centre of gravity of a body can be lowered by making its base heavier.
Conditions for equilibrium require that the sum of all external forces acting on the body is zero (first condition of equilibrium), and the sum of all external torques from external forces is zero (second condition of equilibrium). These two conditions must be simultaneously satisfied in equilibrium.
Under what condition is an object is said to be in a 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.
The center of buoyancy is the point where if you were to take all of the displaced fluid and hold it by that point it would remain perfectly balanced, assuming you could hold a fluid in a fixed shape. This point is also called the center of mass.
Lower the centre of gravity more the stability of the object. When the centre of gravity is closer to the base, it is more difficult to topple a body as most of the weight will be concentrated near the base.
An atom is stable if the forces among the particles that makeup the nucleus are balanced. An atom is unstable (radioactive) if these forces are unbalanced; if the nucleus has an excess of internal energy. Instability of an atom's nucleus may result from an excess of either neutrons or protons.
Stable objects have both a broad base of support and a low centre of gravity. The centre of gravity of an object could also be called its balance point. If you support the centre of gravity, the object will balance and be stable.
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. Once displaced, it accelerates away from the crest.
A state of equilibrium where even a small disturbance could produce large changes. A body is said to be in unstable equilibrium when the body does not regain its original position when it experiences an external force.
When the ice cream cone is made to rest on its apex on a book, the movement of the book will disturb the position of the ice cream cone. This is an example of unstable equilibrium.
Balance is a person's ability to control their equilibrium in relation to gravity only, whereas stability is your bodies ability to “return to a desired position or trajectory following a disturbance [to equilibrium].” Equilibrium is a state of no acceleration and can be static (without movement) or dynamic (moving ...
The centre of gravity affects the stability of objects. The lower the centre of gravity (G) is, the more stable the object. The higher it is, the more likely the object is to topple over if it is pushed. Racing cars have shallow centres of gravity so that they can corner rapidly without turning over.
What is the centre of gravity of human body?
Normally the center of gravity of a human is about an inch below the navel in the center of the body.
Condition 1: Net external force acting on body is zero. Condition 2: Net external torque acting on body is zero.
A body is in equilibrium only when there is no net external force acting on it. So, in other words, the sum of all forces acting on it must be zero for a body to be in equilibrium.
A solid body submitted to three forces whose lines of action are not parallel is in equilibrium if the three following conditions apply : The lines of action are coplanar (in the same plane) The lines of action are convergent (they cross at the same point) The vector sum of these forces is equal to the zero vector.
An equilibrium point is hyperbolic if none of the eigenvalues have zero real part. If all eigenvalues have negative real parts, the point is stable. If at least one has a positive real part, the point is unstable.