In equilibrium, the sum of total vertical, total horizontal forces = 0, and movement of the body = 0.
A rigid body will remain in equilibrium when acted upon by a non-parallel coplanar force if the vector sum of all forces acting on the body is zero, and the vector sum of all torques (or moments) acting on the body is also zero. This condition is known as the equilibrium of forces and moments.
Concurrent coplanar forces have their lines of action intersecting at a common point, allowing them to be resolved using the parallelogram law of forces. Non-concurrent coplanar forces have their lines of action not intersecting at a common point, requiring the use of the triangle law of forces for resolution.
The first condition of equilibrium states that the net force acting on an object must be zero for the object to remain at rest or move at a constant velocity. This condition is also known as the vector sum of all forces being equal to zero.
I am not sure about numbering, but for an object to be in equilibrium, two conditions must be fulfilled:The sum of all the forces on the object must be zero.The sum of all the torques must be zero.
The condition for equilibrium is when the net force acting on an object is zero and the object is either at rest or moving at a constant velocity. This means that the forces acting in opposite directions are equal in magnitude and balanced.
Coplanar or not, the two conditions for equilibrium are:The sum of all forces must be zeroThe sum of all torques must be zero.
equilbrium in coplaner forces at rigid body.
A rigid body will remain in equilibrium when acted upon by a non-parallel coplanar force if the vector sum of all forces acting on the body is zero, and the vector sum of all torques (or moments) acting on the body is also zero. This condition is known as the equilibrium of forces and moments.
first condition for equilibrium is that the a body is satisfy with first condition if the resultant of all the forces acting on it is zero let n numbers of the forces F1, F2,F3,.........., Fn are acting on a body such that sigmaF=0 a book lying on a table or picture hanging on the wall are at rest and thus satisfy with first condition of equilibrium a paratrooper coming with terminal velocity also satisfies first condition of equilibrium
Coplanar forces are a set of forces all of which act in the same plane. Non-coplanar forces are a set of forces in which at least one act in a direction incline to the plane formed by two of the forces.
Equilibrium Condition.
Lami's theorem states that if three forces are in static equilibrium, then the magnitude of each force is proportional to the sine of the angle between the other two forces. Since the forces are in static equilibrium, they sum to zero. This means that if the force vectors are put end-to-end, they form a triangle. The "law of sines" applies to any triangle, and states that the length of each side is proportional to the sine of the opposite angle. Interpreting the sides as force vectors, we get a statement of Lami's theorem.
The equilibrium condition requires the sum of the forces on the body to be zero.
If suppose they are not coplanar then resultant of any two cannot cancel the third one and so equilibrium cannot be maintained. Same way as the forces are not concurrent then the same balancing of the resultant by the third one will not be possible.
The internal equilibrium is a balance condition between internal forces and the commulative integrated stresses.
Concurrent coplanar forces have their lines of action intersecting at a common point, allowing them to be resolved using the parallelogram law of forces. Non-concurrent coplanar forces have their lines of action not intersecting at a common point, requiring the use of the triangle law of forces for resolution.
The first condition of equilibrium states that the net force acting on an object must be zero for the object to remain at rest or move at a constant velocity. This condition is also known as the vector sum of all forces being equal to zero.