A simple harmonic oscillator consists of a 1.20 kg block attached to a spring. The block is oscillating back and forth along a straight line on a frictionless horizontal surface. A plot of the position of the block (in cm) as a function of time (in seconds) is shown below. What are (a) the spring constant of the spring and (b) the maximum speed and maximum acceleration of the block? (c) What is the velocity of the block at t = 1.50 s?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.1P
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A simple harmonic oscillator consists of a 1.20 kg block attached to a spring. The block is
ocillating back and forth along a straight line on a frictionless horizontal surface. A plot of the
position of the block (in cm) as a function of time (in seconds) is shown below. What are (a) the
spring constant of the spring and (b) the maximum speed and maximum acceleration of the
block? (c) What is the velocity of the block at t = 1.50 s?
4.
3-
2-
-2-
-3-
-4-
-5+
0.2
0.4
0.6
0.8
Position (cm)
Transcribed Image Text:A simple harmonic oscillator consists of a 1.20 kg block attached to a spring. The block is ocillating back and forth along a straight line on a frictionless horizontal surface. A plot of the position of the block (in cm) as a function of time (in seconds) is shown below. What are (a) the spring constant of the spring and (b) the maximum speed and maximum acceleration of the block? (c) What is the velocity of the block at t = 1.50 s? 4. 3- 2- -2- -3- -4- -5+ 0.2 0.4 0.6 0.8 Position (cm)
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