equilbrium in coplaner forces at rigid body.
¢The forces, which meet at one point, but their lines of action do not lie on the same plane, are known as non-coplanar concurrent forces.
Coplanar forces systems have all the forces acting in one plane. It also means that all forces act within a single plane instead of three dimensions.
non-coplanar is forces that not in same plain.
if the line of action of forces are in different plain is callled non-coplaner force
Coplanar means "on the same plane", so we can imagine that non coplanar means "not on the same plane".For example, if you draw a square and point on a piece of paper, the two objects are coplanar. However, if we were to add depth and the objects were a distance apart, they are said to be non coplanar.
Coplanar or not, the two conditions for equilibrium are:The sum of all forces must be zeroThe sum of all torques must be zero.
In equilibrium, the sum of total vertical, total horizontal forces = 0, and movement of the body = 0.
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.
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.
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 forces, which meet at one point, but their lines of action do not lie on the same plane, are known as non-coplanar concurrent forces.
Coplanar forces systems have all the forces acting in one plane. It also means that all forces act within a single plane instead of three dimensions.
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
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
The sum of all forces must be zeroThe sum of all resultant couple moment must be zero.
By the changing the angles of forces, the system of the forces will be in equilibrium.
non-coplanar is forces that not in same plain.