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Shm Tides (1 Viewer)
- Thread starter .ben
- Start date
sure thing... but as vafa said, the best way would be to get a really good text book e.g. coroneos...
Introduction
----------------
Simple harmonic motion is basically any motion in which a particle oscillates back and forth from its rest position known as its origin. Alternatively, it is any motion which can be described in terms of sin or cos functions.
Summary
---------------
* The position or displacement of a particle at time t is given by x=acos(nt + @)
* The origin of a particle is when its acceleration is zero but its velocity is maximum
* The amplitude is the maximum displacement that the particle will travel. Thus, you can get the amplitude by solving the displacement formula for a. The amplitudes always have v=0 and z at a maximum towards the origin where z is acceleration.
* The origin of a particle does not necessarily have to be the point where x=0, thus it is important to take into account the above behaviour.
* The velocity of a particle is given by v2= n2(a2 - x2)
* The acceleration of a particle is given by z=-n2x.
* Acceleration is negative when the particle goes from origin to amplitude and positive when the particle goes from amplitude to origin
* The period of a particle (the amount of time it takes for it to complete one oscillation is given by T= 2pi/n
* The frequency of a particle (how many times it oscillates [goes back and forth] per second) is given by f = 1/T
Extra Stuff
----------------
* The velocity and acceleration equations for SHM can be derived from the displacement equation (Do this when you are required to prove something)
* Always analyse the question for any important figures. Initially at rest means that the particle has v=0 when t=0. Initially at origin means that the particle is at the origin, usually x=0 when t=0.
* Another way to prove SHM in an exam is to continuously derive the initial displacement equation and represent it in the form z=-n2x.
* DRAW A BLOODY DIAGRAM
Introduction
----------------
Simple harmonic motion is basically any motion in which a particle oscillates back and forth from its rest position known as its origin. Alternatively, it is any motion which can be described in terms of sin or cos functions.
Summary
---------------
* The position or displacement of a particle at time t is given by x=acos(nt + @)
* The origin of a particle is when its acceleration is zero but its velocity is maximum
* The amplitude is the maximum displacement that the particle will travel. Thus, you can get the amplitude by solving the displacement formula for a. The amplitudes always have v=0 and z at a maximum towards the origin where z is acceleration.
* The origin of a particle does not necessarily have to be the point where x=0, thus it is important to take into account the above behaviour.
* The velocity of a particle is given by v2= n2(a2 - x2)
* The acceleration of a particle is given by z=-n2x.
* Acceleration is negative when the particle goes from origin to amplitude and positive when the particle goes from amplitude to origin
* The period of a particle (the amount of time it takes for it to complete one oscillation is given by T= 2pi/n
* The frequency of a particle (how many times it oscillates [goes back and forth] per second) is given by f = 1/T
Extra Stuff
----------------
* The velocity and acceleration equations for SHM can be derived from the displacement equation (Do this when you are required to prove something)
* Always analyse the question for any important figures. Initially at rest means that the particle has v=0 when t=0. Initially at origin means that the particle is at the origin, usually x=0 when t=0.
* Another way to prove SHM in an exam is to continuously derive the initial displacement equation and represent it in the form z=-n2x.
* DRAW A BLOODY DIAGRAM
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