phy1020.DVI

Figure 5.1: Simple harmonic motion. Shown are the amplitudeA, periodT, and phase constantı. The horizontal linex.t/D 0 is the eq ...

Comparing this with Eq. (5.1) we see that kDm!^2 ; (5.7) or !D r k m : (5.8) In Eq. (5.2), the amplitudeAdepends on how far the ...

Figure 5.3: Kinetic, potential, and total energy of the simple harmonic oscillator as a function of time. The oscillator continu ...

5.2 The Vertical Spring If a horizontal mass on a spring is turned to a vertical position, then the spring is stretched by an am ...

range. In this case one may approximately model the force as a spring force with an “effective spring con- stant”k, and allow at ...

Figure 5.4: Springs in series and parallel (Credit: http://spmphysics.onlinetuition.com.my). wheredis the wire diameter,Nis the ...

Solution.From the above table, for copper,YD 117  109 N/m^2 andD0:355. From Eq. (5.25), we have GD Y 2.1C/ D 117  109 N=m^2 ...

Chapter 6 Damped Oscillations If you build a real simple harmonic oscillator by attaching a mass to a spring and letting it osci ...

Figure 6.1: Damped oscillations. displaced from its equilibrium position, then it will slowly move toward equilibrium, but will ...

Chapter 7 Forced Oscillations Now suppose that we have a harmonic oscillator that is being driven, orforced. For example, imagin ...

Figure 7.1: Amplitude vs. forcing frequency for forced oscillations, for various damping coefficients. The maximum amplitude occ ...

Chapter 8 The Pendulum Asimple plane pendulum(Fig. 8.1) consists of a massmattached to one end a light rod of lengthL; the other ...

8.1 Equation of Motion Since the pendulum (in the small-angle approximation) is a simple harmonic oscillator, its motion is give ...

Figure 8.2: Trace of the motion of a spherical pendulum, made by the author. A flashlight lens was covered with a piece of cardb ...

8.4 The Conical Pendulum. Aconical pendulumis also similar to a simple plane pendulum, except that the pendulum is constrained t ...

Figure 8.4: A physical pendulum. The object has massMand is suspended from pointP;his the distance betweenPand the center of mas ...

8.7 Other Pendulums Double pendulum.Adouble pendulumis formed by attaching one pendulum to the bob of another, so that the two ...

Chapter 9 Waves Having examined simple harmonic motion, we are now in a position to examine waves. Awaveis a dis- turbance in a ...

Figure 9.1: Wave motion at a fixed timet. Ais the wave amplitude,ıis the phase constant, is the wavelength, and D2=is the wave ...

vD=T; and sinceTD1=f, we can write vDf: (9.3) This equation relates the temporal frequencyfof the wave to its “spatial frequen ...