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
equilbrium in coplaner forces at rigid body.
In equilibrium, coplanar forces must satisfy two conditions: first, the vector sum of all forces in any direction must be zero (ΣF = 0); second, the vector sum of all moments (torques) about any point must be zero (Στ = 0). These conditions ensure that the forces are balanced and there is no rotational motion.
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
For two bodies in physical contact to remain in equilibrium, the condition necessary is that the sum of the forces acting on each body must be equal and opposite.
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.
The condition necessary for two bodies in physical contact to remain in equilibrium is that the sum of the forces acting on each body must be equal and opposite.
Equilibrium Condition.
Lami's theorem states that for a system of coplanar, concurrent, and non-parallel forces in equilibrium, the magnitudes of the forces are directly proportional to the sines of the angles they make with a reference axis. This theorem is applicable when three forces act on a point and are in equilibrium. The forces must be concurrent, meaning they all meet at a single point, and coplanar, meaning they all lie in the same plane. Additionally, the forces must not be parallel to each other.
The equilibrium condition requires the sum of the forces on the body to be zero.
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.
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.