Coplanar or not, the two conditions for equilibrium are:
from ramanjit singhIts Lamis Theorom.In statics, Lamis theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinearforces, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding forces. According to the theorem,where A, B and C are the magnitudes of three coplanar, concurrent and non-collinear forces, which keep the object in static equilibrium, andα, β and γare the angles directly opposite to the forces A, Band C respectively.Do you like the answer? Yes | NoApproved / Disapproved policy, check and win exciting gifts
ABCD is a squre. forces of magnitudes 1,2,3,P, and Q units act along AB, BC, CD, DA and AC respectively. find the value of P and Q so that the resultant of five forces is a couple
These are forces which act in the same plane (coplanar, not coplanner!) and that their lines of action all meet at a single point.
Collinear forces are concurrent system type of forces, whereas parallel vector forces cannot be concurrent system type of force but they can be coplanar nonconcurrent system type of force
if several COPLANAR FORCES are acting at a point simultaneously such that each one of them can be represented in direction and magnitude by a side of a polygon, taken in order, then the resultant is given by the closing side in the reverse order
In equilibrium, the sum of total vertical, total horizontal forces = 0, and movement of the body = 0.
equilbrium in coplaner forces at rigid body.
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.
In First condition of equilibrium the sum of all forces is zero.
The sum of all forces must be zeroThe sum of all resultant couple moment must be zero.
Equilibrium Condition.
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.
Coplanar just means that all forces act within a single plane, rather than in three dimensions. Examples aren't really necessary -- it's really a mathematical abstraction, because in the real world forces act in three dimensions.
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.