2) A spring-mass system has the equation x(t) = 6 sin(2nt + t/4) cm for the position of the mass. 6 cm 6 cm a. What is the amplitude? b. What is the angular frequency? с. What is the period in seconds? d. What is the time shift in seconds? е. What is the time of the first maximum in seconds? f. Plot one complete cycle of x(t) by hand. Be sure to have appropriate labels and tick marks on each axis.
2) A spring-mass system has the equation x(t) = 6 sin(2nt + t/4) cm for the position of the mass. 6 cm 6 cm a. What is the amplitude? b. What is the angular frequency? с. What is the period in seconds? d. What is the time shift in seconds? е. What is the time of the first maximum in seconds? f. Plot one complete cycle of x(t) by hand. Be sure to have appropriate labels and tick marks on each axis.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
See attached P2

Transcribed Image Text:### Spring-Mass System Analysis
A spring-mass system is modeled by the equation \( x(t) = 6 \sin(2\pi t + \pi/4) \) cm, representing the position of the mass.
#### Diagram Description:
The diagram illustrates a spring-mass system:
- A mass is attached to a vertical spring.
- The spring is connected to a fixed horizontal surface.
- The mass is labeled with arrows showing its displacement: both sustain a 6 cm measurement.
#### Questions:
a. **What is the amplitude?**
b. **What is the angular frequency?**
c. **What is the period in seconds?**
d. **What is the time shift in seconds?**
e. **What is the time of the first maximum in seconds?**
f. **Plot one complete cycle of \( x(t) \) by hand. Be sure to have appropriate labels and tick marks on each axis.**
This exercise involves determining key characteristics of the sinusoidal motion and visualizing its behavior.
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