then this is one, this is zero, 1 over 3.

So that has the value of 1

minus 1 over 3,

that is 2 over 3 and F over

k. So start with some here over here,

and then when this approach to one,

then this blows up,

and this is some scale that is just 1 over 2.

So at 1 Omega equal to Omega_1,

this will go up.

Therefore, the line has to be like that.

Another interesting point is when

Omega over Omega_1 is a square root to 3.

So that is about 1.7.

So if here is 2,

this is 2 and over here,

this gets to be very, very large.

So there is another interesting line

that blows up the magnitude of this one,

and as you can see here over vicinity

over here that is plus.

So this is like that,

and then little bit over 1.

So if this is a little bit bigger than one,

the term of this one,

and term of this,

and comparing those things is will be minus, therefore,

look like that, and over in this region,

you can readily find the curve looks like that.

So physically, this curve physically means,

one thing is resonant behavior,

and another one is over here.

There's certain frequency that make

the motion of X_1 stationary.

In other words, X_1 does not move.

Remember, we have m, there is x_1,

k, there is x_2, okay, like that.

So at certain frequency of excitation,

the x_1 does not move at all.

This one is moving.

Wow, that has a lot of practical application.

This we called nodal point.