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 23.2, Problem 3bTH
To determine

To Sketch: The shape, width and the direction of the motion of the incident pulse for given condition.

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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.
Christine Karera hangs a spring and it oscillates at a frequency of 60 cycles in a minute when an object is attached to it. A. Calculate the mass of the object if the spring constant is 250 N/m. Show your formula transformation. B. Solve for the frequency of a vibrating pendulum if it has a length of 2 m. What will be its period? If you disregard the length provided (2m), what will be the length of the pendulum if period (T) is given with a value of 3 seconds? Show your formula transformation.
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. SS %3D
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