Making Amplitude of Oscillation the Same

[schaefera]

Homework Statement

What value must be equal for two different masses to oscillate with the same amplitude?

Homework Equations

x(t)= Acos(wt+p)
v(t)= -Awsin(wt+p)

The Attempt at a Solution

The answer is (xo)^2+(w*vo)^2

But I really don't understand why... does it have something to do with the fact that, if you subbed into that answer with the x(t) and v(t) equation you would be able to factor out "w" and then the sine and cosine terms squared sum to the value 1?

 

[I like Serena]

Homework Statement

What value must be equal for two different masses to oscillate with the same amplitude?

Homework Equations

x(t)= Acos(wt+p)
v(t)= -Awsin(wt+p)

The Attempt at a Solution

The answer is (xo)^2+(w*vo)^2

But I really don't understand why... does it have something to do with the fact that, if you subbed into that answer with the x(t) and v(t) equation you would be able to factor out "w" and then the sine and cosine terms squared sum to the value 1?

The answer does not seem to be quite right.
I believe it should be: (xo)^2+(vo/w)^2

What you would need, is that A is the same for both masses.
But assuming A, and p are not given, but w and the initial conditions x0, v0 are given, can you solve the equations to find A?