While
a person is holding a bag on his head, his/her work done is said to be zero
. However, he tends to lose energy and feel tired after a little time. This is because a force is required by the person to hold the bags or the suitcases in a stationary position. This force is static in nature.
How important is static equilibrium in your everyday life?
Static equilibrium is a
valuable analysis tool
: for example, if two forces are acting on an object that is in static equilibrium, that means they add up to zero. If you know the direction and magnitude of one of the forces, you can write an equation to determine the magnitude and direction of the unknown force.
What are some examples of static equilibrium?
(iv)
a ball kept on the ground
. Hence, any non-moving stationary object can be considered to be in static equilibrium. Note: In some cases, like when equal and opposite forces are applied on a stationary rod kept on a table, the net force on the rod becomes equal to zero but it gains some torque in the process.
What is the static equilibrium of a body?
Static equilibrium of a rigid body is
the state where a solid object isn’t moving because its influences are balanced
. Those influences are forces and torques. For an object to be in static equilibrium, it must be in both translational equilibrium and rotational equilibrium.
What are the three conditions of equilibrium?
- 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.
How do you solve static equilibrium problems?
- Identify the object to be analyzed. …
- Set up a free-body diagram for the object. …
- Set up the equations of equilibrium for the object. …
- Simplify and solve the system of equations for equilibrium to obtain unknown quantities.
What is static equilibrium in simple terms?
Static equilibrium refers to
any system where the sum of the forces, and torque
, on every particle of the system happens to be zero. Simply, it is the equilibrium of a system whose parts are at rest.
Can a moving body be in equilibrium?
Yes,
a body can be in equilibrium if it is in motion
. We call this type of equilibrium as a dynamic equilibrium. We know that a body is said to be in equilibrium if the net force acting on it is zero. By the second law of motion, we know that the acceleration in such bodies is zero.
What is equilibrium condition?
The equilibrium condition of an object exists
when Newton’s first law is valid
. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.
Which best describes are the conditions for static equilibrium?
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.
What are the conditions for static equilibrium?
To achieve complete static equilibrium, a system must have
both rotational equilibrium (have a net torque of zero) and translational equilibrium (have a net force of zero)
. translational equilibrium: A state in which net force is equal to zero.
What are two conditions for equilibrium?
- The sum or resultant of all external forces acting on the body must be equal to zero.
- The sum or resultant of all external torques from external forces acting on the object must be zero.
What is the first condition for static equilibrium?
Statics is the study of forces in equilibrium. Two conditions must be met to achieve equilibrium, which is defined to be motion without linear or rotational acceleration. The first condition necessary to achieve equilibrium is that the net external force on the system must be zero, so that
F = 0
.
What is an example of equilibrium?
An example of equilibrium is in economics
when supply and demand are equal
. An example of equilibrium is when you are calm and steady. An example of equilibrium is when hot air and cold air are entering the room at the same time so that the overall temperature of the room does not change at all.
How do you do static problems?
First, ensure that the problem you’re solving is in fact a static problem—i.e., that no acceleration (including angular acceleration ) is involved. Choose a pivot point — use the location at which you have the most unknowns.
Write equations for the sums of torques and forces in the x and y directions
.
