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Simple Harmonic Motion, Urgent, Please

  • Thread starter Jimmy84
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Homework Statement


a particle moves to the right along the x axis with a simple harmonic motion from x0 = 3.0cm in t=0 . if its position x is given by x = 4.0 cos (pi t + phi) , in cms ; find its period T.


Homework Equations





The Attempt at a Solution



The problem ask me more things like the aplitude, phi and others but the amplitude i found was 4.0cm and phi was 41.1 . Now im stuck because im asked more things such as the angular frequency and more the equtions for the velocity , acceleration and more but I need T or omega in order to find those. How can I find T?

My guess is that the problem already suggests T but im starting to learn about harmonic motion so I dont see things clearly for now can anyone give em soem help in order to find T or the angualr frecuency ?

Thanks lot in advance.
 

Answers and Replies

  • #2
PeterO
Homework Helper
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Homework Statement


a particle moves to the right along the x axis with a simple harmonic motion from x0 = 3.0cm in t=0 . if its position x is given by x = 4.0 cos (pi t + phi) , in cms ; find its period T.


Homework Equations





The Attempt at a Solution



The problem ask me more things like the aplitude, phi and others but the amplitude i found was 4.0cm and phi was 41.1 . Now im stuck because im asked more things such as the angular frequency and more the equtions for the velocity , acceleration and more but I need T or omega in order to find those. How can I find T?

My guess is that the problem already suggests T but im starting to learn about harmonic motion so I dont see things clearly for now can anyone give em soem help in order to find T or the angualr frecuency ?

Thanks lot in advance.
The period refers to the length of time from when something happens, to what it happens the next time.

What value of t gives a maximum x value?
What next value of t will also give the maximum x value?
the difference in those two is the period.

Note we use an extreme value, since the particle undergoing SHM is at each intermediate position twice during a cycle - but traveling in the other direction.
 

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