College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Concept explainers

Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards…
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion tak…
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Question

A 7.2 kg-block attached to a 32 N/m-spring constant spring moves on a frictionless horizontal surface, back and forth between -3.0 m and +3.0 m. What is the period of this motion, in seconds?

Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

The image depicts a simple harmonic motion setup involving a spring-mass system on a horizontal surface. ### Description: - **Components:** - A block (yellow) is attached to a spring (represented by a zigzag line) and placed on a linear track. - The spring is fixed at one end to a vertical wall. - The block is free to move along the track. - **Coordinate System:** - A horizontal axis is shown below the setup, labeled as \( x, \, m \), indicating position in meters. - The axis ranges from \(-5.0\) m to \(2.0\) m, with increments marked at every \(0.5\) meters. ### Explanation: - The block can oscillate back and forth when displaced from its equilibrium position at \(0\) meters. This system models simple harmonic motion, where the restoring force provided by the spring is proportional to the displacement of the block. - The graph visually represents how the block's position (\(x\)) can vary over a range of -5.0 to 2.0 meters as it moves back and forth due to the spring's action. This visualization aids in understanding concepts related to oscillatory motion, energy conservation in mechanical systems, and the mathematical description of periodic motion.
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Transcribed Image Text:The image depicts a simple harmonic motion setup involving a spring-mass system on a horizontal surface. ### Description: - **Components:** - A block (yellow) is attached to a spring (represented by a zigzag line) and placed on a linear track. - The spring is fixed at one end to a vertical wall. - The block is free to move along the track. - **Coordinate System:** - A horizontal axis is shown below the setup, labeled as \( x, \, m \), indicating position in meters. - The axis ranges from \(-5.0\) m to \(2.0\) m, with increments marked at every \(0.5\) meters. ### Explanation: - The block can oscillate back and forth when displaced from its equilibrium position at \(0\) meters. This system models simple harmonic motion, where the restoring force provided by the spring is proportional to the displacement of the block. - The graph visually represents how the block's position (\(x\)) can vary over a range of -5.0 to 2.0 meters as it moves back and forth due to the spring's action. This visualization aids in understanding concepts related to oscillatory motion, energy conservation in mechanical systems, and the mathematical description of periodic motion.
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