Tutorials in Introductory Physics
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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A 150 g block hangs from a spring with spring constant 6.0 N/m. At t=0s the block is 25 cm below the equilibrium point and moving upward with a speed of 95.0 cm/s. Correct Correct answer is shown. Your answer 1.006 Hz was either rounded differently or used a different number significant figures than required for this part. Part B What is the block's distance from equilibrium when the speed is 78 cm/s? Express your answer with the appropriate units. ► View Available Hint(s) 7₁ = 0.26 m Submit ✓ Correct Correct answer is shown. Your answer 26.47 cm(-0 2647 m) was either rounded differently or used a different r of significant figures than required for this part. Part C Previous Answers z = What is the block's distance from equilibrium at t = 7.0 s? Express your answer with the appropriate units. Enter positive value if the block is above the equilibrium point and negative value if the block is below the equilibrium point. ► View Available Hint(s) μA Value Units
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. 4. A spring with spring constant k = 12 slug/s has a mass attached that stretches the spring 2-2/3 ft. The damping coefficient is 7 slug/s. The mass is pushed i ft above the rest position and then released with a velocity of 1 ft/s downward.
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