College Physics

Figure 16.11The vertical position of an object bouncing on a spring is recorded on a strip of moving paper, leaving a sine wave. ...

Figure 16.12Graphs ofx(t), v(t),anda(t)versustfor the motion of an object on a spring. The net force on the object can be descri ...

PhET Explorations: Masses and Springs A realistic mass and spring laboratory. Hang masses from springs and adjust the spring sti ...

Thus, (16.29) T= 2πLg for the period of a simple pendulum. This result is interesting because of its simplicity. The only things ...

PhET Explorations: Pendulum Lab Play with one or two pendulums and discover how the period of a simple pendulum depends on the l ...

The conservation of energy principle can be used to derive an expression for velocityv. If we start our simple harmonic motion w ...

(16.46) yt=asin ⎛ ⎝ 2πt T ⎞ ⎠. Thus, the displacement of pendulum is a function of time as shown above. Also the velocity of the ...

Figure 16.18The shadow of a ball rotating at constant angular velocityωon a turntable goes back and forth in precise simple harm ...

Figure 16.20The position of the projection of uniform circular motion performs simple harmonic motion, as this wavelike graph of ...

A record player undergoes uniform circular motion. You could attach dowel rod to one point on the outside edge of the turntable ...

Critical damping is often desired, because such a system returns to equilibrium rapidly and remains at equilibrium as well. In a ...

Fel = f (16.59) kx = μkmg x = μkmg k . 1. By equating the work done to the energy removed, solve for the distanced. The work do ...

16.8 Forced Oscillations and Resonance Figure 16.25You can cause the strings in a piano to vibrate simply by producing sound wav ...

Figure 16.27Amplitude of a harmonic oscillator as a function of the frequency of the driving force. The curves represent the sam ...

16.9 Waves Figure 16.29Waves in the ocean behave similarly to all other types of waves. (credit: Steve Jurveston, Flickr) What d ...

This fundamental relationship holds for all types of waves. For water waves,vwis the speed of a surface wave; for sound,vwis the ...

Figure 16.33The wave on a guitar string is transverse. The sound wave rattles a sheet of paper in a direction that shows the sou ...

Figure 16.36shows two identical waves that arrive at the same point exactly in phase. The crests of the two waves are precisely ...

and, thus, is called astanding wave. Waves on the glass of milk are one example of standing waves. There are other standing wave ...

Figure 16.41First and second harmonic frequencies are shown. Beats Striking two adjacent keys on a piano produces a warbling com ...