2nd year of post-compulsory secondary education
Simple Harmonic Movement
Carlos Campos Álvarez
SHM 
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2.6 Conclusions about the kinematics of an S.H.M.

 


  • The Simple Harmonic Movement is a periodic movement in which the position varies according to a sinusoidal (sine or cosine) equation.

  • The velocity of the body continually changes, being maximum at the centre of the trajectory and nil at the limits, where the body changes the direction of the movement.

  • The S.H.M. is a non-uniformly accelerated movement. Its acceleration is proportional to displacement and in the opposite direction. It shows its maximum value at the limits and its minimum value in the centre.

  • We can imagine an S.H.M. as the projection of a Uniform Circular Movement. The phase indicates the position of the body at the start when time equals zero.
Introduction
Definitions
Representing the S.H.M.
The kinematics of an S.H.M.
Position
Velocity
Acceleration
S.H.M. and Uniform Circular Movement
Phase
Conclusions
The dynamics of an S.H.M.
Elastic force
Frequency
Conclusions
The energy of an S.H.M.
Conservation of energy
Graphic representation
Conclusions
Evaluation