Derivation of an S.H.M. Equation

[fatboy_1989]

Can anybody show me how to derive the equation for SHM. (T = 2 x (Pie) x (root m/k))

Help would be greatly appreciated, as i need it for coursework

 

[PaintballerCA]

No one will show you, but we will help you along it deriving it yourself.
How can you model harmonic motion? What function would you use?

 

[mysqlpress]

it depends on cases. but I can give you the general way

first you should find the relationship between the acceleration of oscillator and its displacement

Then, by means of Newton's second law, F=ma
find the a in terms of x if a is directly proportional to minus x
then, for S.H.M a = -w^2x , where w is the angular frequency of motion
w = =2pi/T
T=2pi/w