Superposition of two simple harmonic motion

[Krokodrile]

Homework Statement

find the sum of cos (t+5325) + 1.5 cos (t+5325)

Relevant Equations

X1 `+ X2

Hey! I am stuck in this problem, i don't know how to sum this ecuations.

I remember that its possible because the direction is the same

So, i try to sum like this:

cos (t+5325)
+
1.5 cos (t+5325)

=1.5 cos (t+5325) I don't know if i fine. I thanks your help, please ;)

 

[berkeman]

Homework Statement:: find the sum of cos (t+5325) + 1.5 cos (t+5325)
Relevant Equations:: X1 `+ X2

Hey! I am stuck in this problem, i don't know how to sum this ecuations.

I remember that its possible because the direction is the same

So, i try to sum like this:

cos (t+5325)
+
1.5 cos (t+5325)

=1.5 cos (t+5325) I don't know if i fine. I thanks your help, please ;)

Maybe there is a typo in your post, but otherwise both terms are cos() with the same arguments. So what is 1+1.5?

 

[Krokodrile]

Maybe there is a typo in your post, but otherwise both terms are cos() with the same arguments. So what is 1+1.5?

oh, yes. I lose my mind for a second.

So, the answer would be:

2.5 cos (t+5325) ?

 

[Krokodrile]

Maybe there is a typo in your post, but otherwise both terms are cos() with the same arguments. So what is 1+1.5?

And...only a last question: in the case that 5325 have a negative sign like:

cos (t+5325)
+
1.5 cos (t-5325)

=2.5 cos (t) ??

thank you so much for you help

 

[Orodruin]

And...only a last question: in the case that 5325 have a negative sign like:

cos (t+5325)
+
1.5 cos (t-5325)

=2.5 cos (t) ??

thank you so much for you help

No.