Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 23.1, Problem 3dTH
(i)
To determine
The shape of the transmitted and reflected pulse at various instants.
(ii)
To determine
Inconsistency with the free-end boundary condition for the given pulse.
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This graph shows the position versus time for a mass of 4 kg, attached to a spring of spring constant k, that is undergoing damped simple harmonic motion. Part A From the graph of damped oscillations shown above, determine the time constant for the decay in seconds. Part B For the damped oscillations shown in the graph above, determine the spring constant k of the spring in N/m. Part C How much energy in J has been dissipated from the block-spring system after 5 seconds?
I. For the following problems, set up the differential equation that describes the motion under
the assumption of this section. Solve the differential equation. State whether the motion of
the spring system is harmonic, damped oscillation, critically damped oscillation, or
overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form.
5. A long spring wiun spring constant k = 8 g/s² has a mass attached that stretches the
spring 245 cm. the damping coefficient is 8 = 8 g/s. At time t = 0, the mass is at
equilibrium position and has a velocity of 3 cm/s downward.
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Chapter 23 Solutions
Tutorials in Introductory Physics
Ch. 23.1 - Prob. 1THCh. 23.1 - In the spaces provided belowright, carefully draw...Ch. 23.1 - Prob. 2bTHCh. 23.1 - We begin by considering the forces exerted on a...Ch. 23.1 - Prob. 3bTHCh. 23.1 - Prob. 3cTHCh. 23.1 - Prob. 3dTHCh. 23.1 - Prob. 3eTHCh. 23.1 - Prob. 4THCh. 23.2 - Prob. 1TH
Ch. 23.2 - Prob. 2aTHCh. 23.2 - Prob. 2bTHCh. 23.2 - Prob. 2cTHCh. 23.2 - Prob. 3aTHCh. 23.2 - Prob. 3bTHCh. 23.2 - Prob. 3cTHCh. 23.2 - The figure at right has several errors. How many...Ch. 23.3 - Prob. 1aTHCh. 23.3 - Prob. 1bTHCh. 23.3 - Prob. 1cTHCh. 23.3 - For each of the periodic functions below, indicate...Ch. 23.3 - Prob. 2THCh. 23.3 - Use trigonometry to determine the mathematical...Ch. 23.3 - Starting from the equation that you wrote above,...Ch. 23.3 - Suppose the speed of the refracted wave were half...Ch. 23.3 - Prob. 3dTHCh. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - Consider an instant when the fields are nonzero at...Ch. 23.4 - How would your answers to parta be different if...Ch. 23.4 - Prob. 3TH
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