- 1.1 The Legend of the Huang Chung. - 2.11.1 Application of the Above Relations to the Piano. - 3.10.1 Derivation of the Helmholtz Formula. - 6.3 The Bohr Theory of the Hydrogen Atom. - 7.2 Superposition of Two Sine Waves of the Same Frequency. - 8.11.3 Applications of the Doppler Effect. - 9.1 Broad Outline of the Conversion Process. - the Peak of the Envelope. - 335 10.5 The Blue Color of the Sea and Its Connection with Combination Tones. - 12.3 The “Humorous” Liquids of the Eye. - 14.1 A Simplified Version of the Three-Primary Theory. - 423 14.6.1 The Units for the Admixture of the Three Primaries. - 426 14.6.4 On the Significance of the Chromaticity Diagram. - 437 14.9 The Standard Chromaticity Diagram of the C. - 481 E A Crude Derivation of the Frequency of a Simple. - 507 I.1 Application of the Transformation: Determining. - These are the lengths of the pipes. - Next, take three parts of the new (i.e. - 1.1 The Legend of the Huang Chung 9. - The shape of the disturbance is a small triangle. - 2.1 A pulse traveling down the length of the stretched string. - The speed of the pulse is called the wave velocity. - Suppose next that the height of the pulse is one millimeter (1 mm) (not drawn to scale above). - Look closely at the shape of the reflected pulse. - The figure shows the subsequent motion of the string.. - A second attribute of the sound is its loudness . - of the stretched rope.. - 2.6c the fundamental mode or the first harmonic of the string. - 2.7 Higher harmonics of the vibrating string (drawing by Gary Goldstein). - The third harmonic has three times the frequency of the fundamental. - 2.6d) was equal to the period of oscillation of the rope in the fundamental mode (Fig. - time, we will obtain a graph of the sine function. - Let us review the nature of the sine function.. - we obtain one cycle of the sine wave. - Doubling the force leads to a doubling of the displacement.. - A frequency that is independent of the amplitude of oscillation. - 2.13 that the displacement of the mass exhibits a sine wave pattern. - It can be shown that the frequency of vibration of the SHO is given by 4. - Find the frequency and period of vibration of the SHO.. - 2 multiplied by the frequency of the previous example.. - It is on the order of the average speed. - In the case of the standing wave, we recall that D 2`. - Thus, the length of the string is equal to the wavelength. - 2.17 Modes of vibration of the stretched string. - Then the linear mass density of the string in the spool is 5 g=m D 0:005 kg/m. - Find the wave velocity, the mass of the string, and the tension in the string.. - There is variable displacement all along the length of the string. - This leads to an overestimate of the fundamental period. - The thickness of the string is R 2 R 1 . - The relative phase refers to the relative positions of the waves. - This frequency corresponds to the 380 Hz of the violin. - The shape of the string is triangular.. - (These two frequencies correspond to the fundamental frequencies of the respective strings.) The frequency spectra are:. - General form of the wave velocity:. - Generally, vibrations of the plate are composed of. - What is the frequency of the oscillator?. - 3.4 A sudden move of the piston creates a pulse. - We then refer to the sound density of the wave.. - We will see in the next section that the frequency of the sound produced by a pitch pipe is proportional to the wave velocity. - The figure depicts the displacement of the string at various times. - the other graph displays the displacement y of the gas.. - (b) Based on your answer, what is the length of the pipe?. - The actual shape of the bottle is not relevant. - the area A of the mouth. - Finally, suppose that the volume of the body is 1,800 cm 3 . - where is the mass density of the air. - The volume of the air in the bottle properly increases by V D Ay. - Here m is the mass of the object and v is the speed.. - Mass is a measure of the quantity of matter. - The change in PE of the mountain climber is then. - See Problem 4.2, at the end of the chapter.. - The ratio of the two expressions is 2=4 1:6.. - Thus, the energy of the vibrating string must decrease. - Generally, energy is proportional to the square of the amplitude:. - Specifically, the intensity is inversely proportional to the square of the distance d . - The area A of the spherical surface is 4d 2 . - The change in SL is independent of the initial intensity I . - In the case of a string, attenuation is mainly due to the force of the surrounding air on the string.. - We will focus on the amplitude of the vibration. - What is the process that determines the resulting character of the sound?. - Calculate the electrical power output of the array.. - Discuss your result in relation to the sound quality of the room.. - find the ratio of the RTs. - Remember that the formula includes the six sides of the cube. - In the presence of the point charge, each half will be polarized. - Current is in a direction out of the page. - The alignment of the filings shows up clearly in the figure (Fig. - 5.17 Iron fillings aligning in the direction of the magnetic field. - Now suppose that the direction of the current in the wire is reversed. - A solenoid is attached to the cone of the speaker. - in the 1830s through his discovery of the induced elec- tromotive force (EMF). - 3 This is an application of the Principle of Relativity. - where E E is the electric field at the location of the charge q.. - Here current is directed out of the paper.. - Noteworthy is the closeness of the magnetic lines between the poles:. - One can reverse the roles of the two charges.. - Home exercise: Describe E E ind to the right and left of the solenoid.. - a photograph of the actual apparatus is shown in Fig. - Here it is a B E which is the initial source of the EM pulse. - Where is the magnetic N-pole of the earth? (Approximately?) 3