random simple question (1 Viewer)

[totallybord]

hi!

what is the simplest and most efficient way to find the following (the solution only say the answer so i assume theres a really simple way of working it out in your brains) :
find the amplitude of the motion: x=1+sin4t+root3cos4t
the only other info you know is that its SHM about x=1
the answer is 2
what i did was using the auxiliary method and found R
thanks to anyone

 

[lolokay]

well if the auxilary method is what I think it is, then that's a pretty simple way to work it out
if you only need the amplitude, and the motion is in the form asin[x] + bcos[x] then it's just
sqrt(a² + b²) which is what you would have done to find R

 

[shaon0]

well if the auxilary method is what I think it is, then that's a pretty simple way to work it out
if you only need the amplitude, and the motion is in the form asin[x] + bcos[x] then it's just
sqrt(a² + b²) which is what you would have done to find R

Yeah.

 

[totallybord]

ok cool thanks!