Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 9.2, Problem 4cT
To determine
To determine the type of a boundary between two springs.
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Take a tuning fork and set it vibrating by striking its prong on a rubber pad. Bring it near your ear.
• Do you hear any sound?
Touch one of the prongs of the vibrating tuning fork with your finger and share your experience with any of your family members.
Now, suspend a table tennis ball or a small plastic ball by a thread from a support [Take a big needle and a thread, put a knot at one end of the thread, and then with the help of the needle pass the thread through the ball]. Touch the ball gently with the prong of a vibrating tuning fork (Fig. 1).
• Observe what happens and discuss it.
Please answer only the ones (2 questions) that is in bullet form.
Thank you
Imagine a bar of gold is hung on a spring in your kitchen and it extends the spring by 7 cm. At approximately what frequency in Hz (cycles per second) wilI
the bar oscillate up and down when given a gentle vertical kick, if there is essentially no damping.
Hz
If we take the spring and the bar of gold to the surface of the moon, will the oscillation frequency there be higher, lower, or the same?
Explain your answer above.
Simple Harmonic Motion: A Special Periodic Motion• Describe a simple harmonic oscillator.• Explain the link between simple harmonic motion and waves.
Chapter 9 Solutions
Tutorials in Introductory Physics
Ch. 9.1 - A piece of yarn has been attached to the spring....Ch. 9.1 - During the demonstration, did any of the following...Ch. 9.1 - During the demonstration, each of the following...Ch. 9.1 - Prob. 2aTCh. 9.1 - Prob. 2bTCh. 9.1 - Prob. 3aTCh. 9.1 - Prob. 3bTCh. 9.2 - Describe what happens after the pulse reaches the...Ch. 9.2 - Compare the speed of a pulse in one spring to the...Ch. 9.2 - In answering the questions below, assume that each...
Ch. 9.2 - Prob. 2aTCh. 9.2 - Prob. 2bTCh. 9.2 - Prob. 3aTCh. 9.2 - Prob. 4aTCh. 9.2 - Which of the following quantities are different on...Ch. 9.2 - Prob. 4cTCh. 9.3 - Prob. 1aTCh. 9.3 - Prob. 1bTCh. 9.3 - Prob. 1cTCh. 9.3 - Prob. 1dTCh. 9.3 - Prob. 1eTCh. 9.3 - Prob. 2aTCh. 9.3 - Prob. 2bTCh. 9.3 - Prob. 2cTCh. 9.3 - Prob. 2dTCh. 9.3 - Each of the diagrams at right shows a ray incident...Ch. 9.3 - Does the ray representing a wave always “bend”...Ch. 9.4 - Shown below are mathematical and pictorial...Ch. 9.4 - Three light waves are represented at right. The...Ch. 9.4 - Write an expression for the force exerted on a...Ch. 9.4 - Imagine that the electromagnetic wave in section I...Ch. 9.4 - Prob. 3aTCh. 9.4 - Suppose that the electric field in a light wave...
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- An observer standing at point A hears a sound maximum from the two speakers. They they walk parallel to the two speakers toward B and first hear a sound minimum when arriving at point B. What is the frequency (in Hz) of the sound emitted by the two speakers? Assume a speed of sound of 340 m/s. 10.0 m 6.0 m r₁ r لانا B •Aarrow_forwardSimple Harmonic Motion: You should have noticed that over a long enough period of time the oscillations get smaller in amplitude. If we used a larger surface are for the mass hanger would the change in amplitude occur at a faster rate? a) Why or why not do you think that is? b) Do you think it would change the length of the period? (longer or shorter?) Why? c) What is the physical reason the period does or does not change if the amplitude damps out quickly?arrow_forwardDoes the rubber band follow Hooke’s law?• Is there evidence that the rubber band follows Hooke’s law for in one region or interval of applied?weight, but does not follow it in another region or interval?• Can you find the “spring constant” of the rubber band?arrow_forward
- A 500 g block connected to a light spring of which the force constant is 20 N/m oscillates on a horizontal, frictionless air surface. • Calculate the total energy of the system and the maximum speed of the block if the amplitude of the motion is 3 cm. • Compute the potential and kinetic energies of the system when the position is 2 Cm. • What is the velocity of the block when the position is 2 cmarrow_forward1. Open the PhET simulation https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and- springs en.html and choose "Lab". Set gravity and damping to zero and the spring constant to the smallest value. Hook the 100-gram mass to the spring and pull it away from equilibrium and release. Click on "Slow" to better observe the experiment. You can also use the zoom button to magnify the energy graphs. a. What is true of the total mechanical energy during the undamped oscillations? b. What is the kinetic energy when the elastic potential energy is maximum? c. What is the elastic energy when the kinetic energy is maximum? d. Now increase the damping to a small but non-zero value. What happens to the mechanical energy? Where does it go? Note that the bar on the right is the total energy: Etot = KE + Uel + Etherm not the mechanical energy. 2. The graph shows the x position of a small ball hooked onto a spring of spring constant 2000 N/m. a. What is the mass of the ball? N 40 30 20…arrow_forwardThis is the equation for a math related physics problem Let’s assume that the period T depends on the length L in a non-linear way, namely a power law: T=aL^b - Take the logarithm of both sides, and reduce this equation by using the rules for logarithms: In your final reduction, you should recognize that some values are constant, while one term is dependent upon the length L (specifically on log10(L)) You plot data to make a plot of log10(L) vs log10(T) (L is independent axis). - Answer: what is the reduced equation? What is the mathematical relationship between the slope of the log-log line and the unknowns a and b? What is the mathematical relationship between the intercept of the log-log line with the vertical axis and the unknowns a and b?arrow_forward
- Problem 8: Graph one complete cycle only, making sure that amplitude, period, and phase shift are clearly presented, and that the scale your are using on each axis is clearly presented: f(x) = sin(x+). All calculations necessary to find period and phase shift must be shown.arrow_forwardThe pendulum shown below consists of a uniform disk with radius r = 2.35 cm and a mass of 410 grams. The disk is supported in a vertical plane by a pivot located d = 1.75 cm from the center of the disk. Pivot• d R. a. What is the frequency of oscillation if the disk is displaced by a small angle and released? Hz b. What is the frequency of oscillation if the mass of the disk is and then displaced by a small angle and released? Hzarrow_forwardQuestion 2: Harmonic Oscillators (Undamped Motion), and Archimedean principles (2nd Order ODE) • For a pendulum, find the frequency of oscillation of a pendulum of length L, neglecting air resistance and weight of the rod, and assuming 0 to be small, that sine z 0 In the Archimedean principle, it states that the buoyant force = the weight of the water displaced by that body that is either partly or totally submerged. A cylindrical buoy of diameter = 60cm is shown. When depressed and released, the buoy vibrates with a period of 2 seconds. What is the weight of the buoy?arrow_forward
- 5A = Material point of mass m moves under the influence of force F-kr = –krî With in other words, the mass m is at the tip of an isotropic harmonic oscillator with equilibrium position at the origin of the axes. a) Calculate the potential energy V(r) of m. b) To design qualitatively 1) the potential energy V(r) of the mass m, 2) its "centrifugal" dynamic energy (r) = 1² /2mr² where L is the measure of angular momentum of the mass m and r its distance from the origin of the axes, and 3) the active potential energy of U(r) = V (r)+ Vä(r). "arrow_forwardFigure below shows a block m executing a simple harmonic motion with a period of 3.0s, along a straight line between point X and Y which are 28cm apart. Point O is a midpoint between X and Y. a) Calculate magnitude of acceleration of the block m at point P b) Determine the position along XY, from equilibrium when kinetic energy of block and spring potential are equalarrow_forwardAn unstretched spring is said to be at its "equilibrium length." Is this a stable equilibrium or an unstable equilibrium? Explain.arrow_forward
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