The second condition necessary to achieve equilibrium involves avoiding accelerated rotation (maintaining a constant angular velocity ).

If the first two forces R1and R2 perpendicular to each other So, R3 has to balance the resultant of the other two forces R3 = √((R1)2+ (R2)2) Now, the force R3 is removed So, the particle moves with the resultant force R1 and R2 Now, the acceleration is R3 = ma a = R3m Hence, the acceleration of the particle is R3m .

Thus, if all the forces are added together as vectors, then the resultant force (the vector sum) should be 0 Newton. The object is a point on a string upon which three forces were acting.

In this context the word equilibrium means that the coplanar forces are in balance and there is no net force acting.. Below is a list of methods for describing forces in equilibrium acting on a particle. Example 5.1. This discussion on Three forces are acting on a particle of mass m initiallyin equilibrium.

The diagram shows an object, of mass 300 kg, that is at rest and is supported by two cables. If the first two forces (R1 and R2) areperpendicular to each other and suddenly the third force (R3) is removed, then the acceleration of the particle isa)b)c)d)None of the aboveCorrect answer is option 'A'. Equilibrium of a Particle: By particle we mean an object whose physical dimensions are of no significance to the analysis of forces acting on it.Hence, a particle is not necessarily a small object. Mechanics lecture 3 Static forces, resultants, equilibrium of a particle Dr Philip Jackson . Vector Method .

Example 5.1. A particle at rest has forces (2i + 3j), (mi + 6j) and (-4i + nj) acting on it. In this work it is assumed that all the forces act in one plane. The most common application involves the analysis of the forces acting upon a sign that is at rest.

Triangle of forces

Also, a force on on a body not only tends to cause the body to translate (as in the case of the particle) but also tends to cause the body to rotate about any axis which does not intersect with or is not parallel to the line of action of the force.

The forceF 3 which is equal and opposite to the resultant R is known as equilibrant. The forces acting on a particle at rest or moving with constant velocity are in equilibrium. (a) When three forces are concurrent. They are coplanar.. In practical terms this means, for forces in equilibrium the sum of the components of the forces in any direction must be zero.

The diagram shows an object, of mass 300 kg, that is at rest and is supported by two cables. Below is a list of methods for describing forces in equilibrium acting on a particle. The three concurrent forces F 1 ‘ F 2 and F 3 are acting on a body at point 0 and the body is in equilibrium. C.2 ... • The resultant force is the sum of all external forces acting on a body: R = ... Equilibrium of a particle In this context the word equilibrium means that the forces are in balance and there is no net force acting. If the first two forces R1and R2 perpendicular to each other So, R3 has to balance the resultant of the other two forces R3 = √((R1)2+ (R2)2) Now, the force R3 is removed So, the particle moves with the resultant force R1 and R2 Now, the acceleration is R3 = ma a = R3m Hence, the acceleration of the particle is R3m . All the forces in this case would pass through a single point resulting in a concurrent force system. When forces F 1, F 2 and F 3 are acting on the particle, it remains in equilibrium.

Below we discuss three possible approaches.