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Derivation of an S.H.M. Equation

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
 

Answers and Replies

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?
 
83
1
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
 

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