The force \( F \) acting on a particle constrained to move along the x-axis is given by the function \[ F(x) = ax \left( b - cx^2 \right) \]where \( a = 2.37 \), \( b = 7.49 \), and \( c = 6.21 \).**Task:**Find the three equilibrium points \( x_1, x_2, \) and \( x_3 \), and enter them in order of ascending x-coordinate:- \( x_1 = \) - \( x_2 = \) - \( x_3 = \) Label each equilibrium point as either stable or unstable:- \( x_1: [ \text{stable} \ \Box \ \text{unstable} \ \Box ] \)- \( x_2: [ \text{stable} \ \Box \ \text{unstable} \ \Box ] \)- \( x_3: [ \text{stable} \ \Box \ \text{unstable} \ \Box ] \)**Answer Bank**- [stable button]- [unstable button]**Diagram Explanation:**The diagram features boxes where equilibrium points should be entered and options to classify each point's stability. It involves a systematically labeled format with inputs for equilibrium calculations and classifications, facilitating structured analysis.

The equilibrium condition is that the net force will be zero. that is, Fx=0

The force F acting on a particle constraincd to move along the x-axis is given by the fucntion F(x) = ax (b - cx?) la = 2.37, b = 7.49, e = 6.21] Find the three cquilibrium points x. x, and x,, and enter them in order of ascending r-coordinate. X3 = Label cach equilibrium point as cither stable or unstable.

The force F acting on a particle constraincd to move along the x-axis is given by the fucntion F(x) = ax (b - cx?) la = 2.37, b = 7.49, e = 6.21] Find the three cquilibrium points x. x, and x,, and enter them in order of ascending r-coordinate. X3 = Label cach equilibrium point as cither stable or unstable.