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Stuck on hw problem Assume that the forces acting on a mass are such that the potential energy
is the function of x shown in Fig. 24-5: Sketch the solutions in the phase plane. Describe the
different kinds of motion that can occur.
Solution
Every sound we hear, every photon of light that hits our eyes, the movement of grass blown by
the wind and the regular beat of the tides are all examples of waves. They are all around us.
Visible, physical wave*s such as those we see when a rock is thrown into water are what many
people think about when they first began to think about waves. These waves have distinct
properties specific to their type but also exhibit characteristics in common with more abstract
waves such as sound waves and light (electromagnetic) waves.
Below is an interactive illustration that explores particle and energy motion for the three wave
types listed above. Once you have reviewed the illustration and accompanying text, test your
understanding of these concepts with the wave type
At the simplest level, waves are a disturbances that propagate energy through a medium.
Propagation of the energy depend on interactions between the particles that make up the
medium. Particles move as the waves pass through but there is no net motion of particles. This
means, once a wave has passed the particles return to their original position. As a result, energy,
not matter, is propagated by waves.
Different types of waves exhibits specific characteristics. These characteristics are used to
distinguish between wave types. Orientation of particle motion relative to the direction of energy
propagation is one way waves are characterized. There are three categories:
A second way that waves are characterized is by the types of matter they are able to travel
through.Electromagnetic waves (including light) can move through a vacuum. Physical waves
require matter through which to propagate. Physical waves are further distinguished by the
phases of matter through which they can move. Longitudinal waves can pass through liquids and
gasses while transverse waves require a material to be solid to propagate.

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Stuck on hw problem Assume that the forces acting on a mass are such.pdf

  • 1. Stuck on hw problem Assume that the forces acting on a mass are such that the potential energy is the function of x shown in Fig. 24-5: Sketch the solutions in the phase plane. Describe the different kinds of motion that can occur. Solution Every sound we hear, every photon of light that hits our eyes, the movement of grass blown by the wind and the regular beat of the tides are all examples of waves. They are all around us. Visible, physical wave*s such as those we see when a rock is thrown into water are what many people think about when they first began to think about waves. These waves have distinct properties specific to their type but also exhibit characteristics in common with more abstract waves such as sound waves and light (electromagnetic) waves. Below is an interactive illustration that explores particle and energy motion for the three wave types listed above. Once you have reviewed the illustration and accompanying text, test your understanding of these concepts with the wave type At the simplest level, waves are a disturbances that propagate energy through a medium. Propagation of the energy depend on interactions between the particles that make up the medium. Particles move as the waves pass through but there is no net motion of particles. This means, once a wave has passed the particles return to their original position. As a result, energy, not matter, is propagated by waves. Different types of waves exhibits specific characteristics. These characteristics are used to distinguish between wave types. Orientation of particle motion relative to the direction of energy propagation is one way waves are characterized. There are three categories: A second way that waves are characterized is by the types of matter they are able to travel through.Electromagnetic waves (including light) can move through a vacuum. Physical waves require matter through which to propagate. Physical waves are further distinguished by the phases of matter through which they can move. Longitudinal waves can pass through liquids and gasses while transverse waves require a material to be solid to propagate.