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A 0.420-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.8 cm. (Assume the position of the object is at the origin at t=0.) (a) Calculate the maximum value of its speed. 288.64 × Have you calculated the angular velocity? You almost always need this quantity for problems involving simple harmonic motion. cm/s (b) Calculate the maximum value of its acceleration. 7714.29 Write down the equation for x(t) and then think about how to find the acceleration as a function of time from this equation. cm/s² (c) Calculate the value of its speed when the object is 8.80 cm from the equilibrium position. 167.33 Can you determine a time when the object is at this position? You can then use this time in your equation of motion. cm/s (d) Calculate the value of its acceleration when the object is 8.80 cm from the equilibrium position. 6285.71 × How can you determine the force that acts on the object at this position? cm/s² (e) Calculate the time interval required for the object to move from x = 0 to x = 4.80 cm. 0.042 x Can you use your equation for x(t) to determine the time for the object to first reach 4.80 cm? s

A 0.420-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.8 cm. (Assume the position of the object is at the origin at t=0.) (a) Calculate the maximum value of its speed. 288.64 × Have you calculated the angular velocity? You almost always need this quantity for problems involving simple harmonic motion. cm/s (b) Calculate the maximum value of its acceleration. 7714.29 Write down the equation for x(t) and then think about how to find the acceleration as a function of time from this equation. cm/s² (c) Calculate the value of its speed when the object is 8.80 cm from the equilibrium position. 167.33 Can you determine a time when the object is at this position? You can then use this time in your equation of motion. cm/s (d) Calculate the value of its acceleration when the object is 8.80 cm from the equilibrium position. 6285.71 × How can you determine the force that acts on the object at this position? cm/s² (e) Calculate the time interval required for the object to move from x = 0 to x = 4.80 cm. 0.042 x Can you use your equation for x(t) to determine the time for the object to first reach 4.80 cm? s

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A 0.420-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.8 cm. (Assume the position of the object is at the origin at t=0.) (a) Calculate the maximum value of its speed. 288.64 × Have you calculated the angular velocity? You almost always need this quantity for problems involving simple harmonic motion. cm/s (b) Calculate the maximum value of its acceleration. 7714.29 Write down the equation for x(t) and then think about how to find the acceleration as a function of time from this equation. cm/s² (c) Calculate the value of its speed when the object is 8.80 cm from the equilibrium position. 167.33 Can you determine a time when the object is at this position? You can then use this time in your equation of motion. cm/s (d) Calculate the value of its acceleration when the object is 8.80 cm from the equilibrium position. 6285.71 × How can you determine the force that acts on the object at this position? cm/s² (e) Calculate the time interval required for the object to move from x = 0 to x = 4.80 cm. 0.042 x Can you use your equation for x(t) to determine the time for the object to first reach 4.80 cm? s
Transcribed Image Text:A 0.420-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.8 cm. (Assume the position of the object is at the origin at t=0.) (a) Calculate the maximum value of its speed. 288.64 × Have you calculated the angular velocity? You almost always need this quantity for problems involving simple harmonic motion. cm/s (b) Calculate the maximum value of its acceleration. 7714.29 Write down the equation for x(t) and then think about how to find the acceleration as a function of time from this equation. cm/s² (c) Calculate the value of its speed when the object is 8.80 cm from the equilibrium position. 167.33 Can you determine a time when the object is at this position? You can then use this time in your equation of motion. cm/s (d) Calculate the value of its acceleration when the object is 8.80 cm from the equilibrium position. 6285.71 × How can you determine the force that acts on the object at this position? cm/s² (e) Calculate the time interval required for the object to move from x = 0 to x = 4.80 cm. 0.042 x Can you use your equation for x(t) to determine the time for the object to first reach 4.80 cm? s
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