Welcome to Physics 7C Emily Ashbaugh

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Presentation transcript:

Welcome to Physics 7C Emily Ashbaugh

Some Logistics Course Webpage:

Simple Harmonic Oscillation Review How can we describe the motion of oscillating objects?

Simple Harmonic Motion (SHM) Constructs Amplitude: maximum distance from equilibrium Period (or frequency): amount of time required to complete a cycle (or number of cycles per unit time) Equilibrium: position at which all forces acting on the object sum to zero. Displacement: position of the object relative to equilibrium Restoring Force: a force that acts on an object that tends move it toward equilibrium Defining SHM: The restoring force is proportional to the displacement. Anything missing?

Mathematics of SHM y=Displacement A=Amplitude T=Period t y In this image, which numbers, if any, show… Displacement? Amplitude? Period?

Mathematics of SHM y=Displacement A=Amplitude T=Period t y y(t) = A sin (2 t/T)??? In this image, what is the mass doing at t=0 seconds? A T T A Is the equation correct as is?

Mathematics of SHM y=Displacement A=Amplitude T=Period t y y(t) = A sin (2 t/T + ) In this image, what is the mass doing at t=0 seconds? In this image, what value does  have? T  =phase y(t) = A sin (2 t/T)? A

Making Waves Watch waves How does the motion you are watching differ from the motion of the mass-spring? How is it the same? What new constructs are needed to describe waves? What constructs can I control when I start the wave? What moves from one end of the machine to the other?

Wave Constructs Waves: A transfer of energy without bringing along the mass. Particles in the medium get disturbed and collide, but they stay oscillating about one position; they don’t travel with the wave. The medium does not effectively move. The disturbance advances, that’s the wave.

Graphing Waves a) At a particular time (holding position constant) b) At a particular position (holding time constant)

Mathematics of Harmonic Waves Displacement (y) is a function of both position along the medium and time. y(x,t) In space, function repeats every wavelength In time, function repeats every period

Longitudinal vs. Transverse Wave Polarization Longitudinal WaveTransverse Wave `