- #1

LCSphysicist

- 646

- 162

- Homework Statement
- All below

- Relevant Equations
- All below

Is said that, the superposition of two MHS

X1 = A*cos(c/T1*t)

X2 = A*cos(c/T2*t)

The superposition will be a function which the period will be T in such way that satisfy:

T = n1*T1 = n2*T2

But, if we add X1 and X2 we obtain:

X = 2A*cos(((c/T1) - (c/T2))/2)*cos(((c/T1) + (c/T2))/2)

Why those two equations lead us to differents periods?

X1 = A*cos(c/T1*t)

X2 = A*cos(c/T2*t)

The superposition will be a function which the period will be T in such way that satisfy:

T = n1*T1 = n2*T2

But, if we add X1 and X2 we obtain:

X = 2A*cos(((c/T1) - (c/T2))/2)*cos(((c/T1) + (c/T2))/2)

Why those two equations lead us to differents periods?