PHYS 104 1st Edition Lecture 23Outline of Last Lecture I. Oscillatory MotionII. Simple Harmonic Motiona. Kinematicsb. Period of a mass on a springc. Period of a pendulumd. Energy in SHMIII. Damped OscillationsOutline of Current Lecture IV. Mechanical WavesV. Wave SpeedVI. Sinusoidal WavesVII. SuperpositionVIII. Standing Waves on strings and in pipesCurrent Lecture- A wave disturbance is created by a source.- Once created, the disturbance travels out through the medium at the wave speed v. - A wave transfers energy, but the medium as a whole does not travel—particles of the medium oscillate around equilibrium.- A wave transfers energy from the source, but it does not transfer any of the medium.- In a transverse wave the particles in the medium move perpendicular to the direction in which the wave travels. - In a longitudinal wave, the particles in the medium move parallel to the direction in which the wave travels. - A string with a greater linear mass density responds more slowly. Wave speed decreases with increasing linear mass density. - A string with a greater tension responds more rapidly. Wave speed increases with increasing tension Ts. - Standing waves do not travel in either direction, instead the pattern oscillates in place.- Individual points on a string oscillate up and down, but the wave itself does not travel.- It is called a standing wave because the crests and troughs “stand in place” as it oscillates.These notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute.- In a standing wave pattern on a string, there are some points at which the string never moves. These points are called nodes and are spaced λ/2 apart.- The ends of a string are fixed in place, so they must be nodes.- At the antinodes the points on the string oscillate with maximum displacement- Sound waves are longitudinal pressure waves. Air molecules oscillate, creating regions of compression - (p > patmos) and - rarefaction (p < patmos).- The difference between p(x,t) and patmos is analogous to the displacement y(x,t) of the string from equilibrium.- The open end of a tube is a pressure node: p(0,t) = p(L,t) = patmos- Antinodes of a standing sound wave are where the pressure has the largest variation: maximum compressions and