Question

3. Wat is equilibrant vector2 Draw

Answer 1

Solution:   

The equilibrant vector is a vector that are equal and opposite to the resultant vector . It is used to equilibrium condition for the system .

Suppose two force F₁ = 50 N and  F₂ = 50 N apply on a system with 45⁰ and 135⁰ angle respectively (shown in figure). The resultant force is

70172N If= F = 50N 270 F' = equilibrant = 7072N vector

F = 50 Cos45⁰ + 50 Cos45⁰

F = 100 Cos45⁰

F = 100/1.414

F = 70.72 N

and the resultant angle θ = (θ₁ +θ₂) /2 = (45+135)/2

θ = 90⁰

Hence for the equilibrium condition we apply the force F' 70.72 N (equal to the resultant force) with angle 270⁰ (opposite to the resultant angle) on the system . This applying force vector known as Equilibrant vector .