TRANSVERSE WAVE ON A STRING

[deepika.physicslover]

TRNSVERSE WAVE ON A STRING
CAN WE SAY THAT A PARTICLE OF DA ELEMENT OF A STRING (WHEN GIVEN JURKS CONTINUOSLY CREATING A TRANSVERSE WAVE ON DA STRING)  IS DOING S.H.M (simple harmonic motin) WITHOUT ANY HARM? 

[Fu-Kwun Hwang]

Only if the amplitude is relatively small.
SHM is an approximation. But it is a good approximation in most of the cases.

[deepika.physicslover]

k,now let me proceed step by step towards my doubt....
if a sinusoidal wave is travelling along a string n take the moment when a particle's displacement is max. then :
at the top of the hump tension would b tangential (since the wave function is sin(t)) so the net tension is zero....(tell me if i m wrong somewhere).(tension obeying newtons third law ).
since the particle have max. displacement the vel of the particle at that instsnt is zero also tension is zero at that position then which force is responsible for providing that particle a necessary acceleration so that it can get back 2 its original position.
if i take a string element d(s) not a particle  den the resolving the tangential tension (which is not fully in horizontal direction) in vertical n horizontal directions , the tensions in horizontal (opposite direction)cancel each other n therefore the net is in the vertical direction n yes,satisfies the condition for S.H.M.....since that net force provides necessary acceleration for that string element considered.

[Fu-Kwun Hwang]

Please check out formation of wave and find out relation between displacement/velocity and acceleration(force).

[crestiksa]

I think you just about have it. The only thing I would say is that I think that each of the Zwave switches require a neutral wire at the switch. So if you want z-wave then you will have to consider this in your rewiring. -*-