Equilibrium of Forces Flashcards
What is the equilibrium of coplanar forces?
It is the state in which multiple forces acting in the same plane on a particle are balanced, resulting in no net force and no movement.
How do you apply the conditions for the equilibrium of coplanar forces to solve problems?
By ensuring that the vector sum of all forces acting on the particle is zero.
What is the triangle law of forces?
If two forces acting simultaneously on a particle are represented in magnitude and direction by two sides of a triangle taken in order, their resultant is represented in magnitude and direction by the closing side of the triangle.
How do you use Lami’s theorem to solve problems?
By applying the theorem, which states that if three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two forces.
What is the polygon law of forces?
If a number of forces acting at a point can be represented by the sides of a polygon taken in order, their resultant force is represented by the closing side of the polygon in the opposite direction.
What is the moment of a couple (torque)?
It is the product of one of the forces in a couple and the perpendicular distance between the lines of action of the forces.
What is the moment of a force?
The moment of a force is the product of the force and the perpendicular distance from the point of rotation to the line of action of the force.
How do you analyze the principle of moment of a force?
By applying the principle that for a body to be in equilibrium, the sum of the clockwise moments about any point must equal the sum of the counterclockwise moments about the same point.
Q: How do you determine the moment of a force and couple?
By using the formulas
Moment = Force × Perpendiculardistance
for a single force and
Torque = Force × Distancebetweenforces for a couple.
What are some applications of moment of a force and couple?
Applications include levers, wrenches, and balance scales.
What is the equilibrant of forces?
The equilibrant is the force that, when added to the resultant, brings a body into equilibrium. It is equal in magnitude and opposite in direction to the resultant.
How do you resolve forces into two perpendicular directions?
By breaking down each force into components along two perpendicular axes, usually the x-axis and y-axis.
What is the resultant of forces?
The resultant is the single force that has the same effect as all the forces acting on the body combined.
