a.
Graph the function.
a.
Answer to Problem 55E
Explanation of Solution
Given information:
A ball that is bobbing up and down on the end of a spring has a maximum displacement of
Graph the function.
Calculation:
Consider a ball that is bobbing up and down on the end of a spring has a maximum displacement of
The above motion can be representing graphically.
Hence the results shown in plot.
b.
What is the period of the oscillations?
b.
Answer to Problem 55E
Explanation of Solution
Given information:
A ball that is bobbing up and down on the end of a spring has a maximum displacement of
What is the period of the oscillations?
Calculation:
In general a simple harmonic motion is modelled by equation,
So, the period of oscillation is,
Hence, the period of the oscillations is
c.
Determine the first time the weight passes the point of equilibrium (
c.
Answer to Problem 55E
Explanation of Solution
Given information:
A ball that is bobbing up and down on the end of a spring has a maximum displacement of
Determine the first time the weight passes the point of equilibrium (
Calculation:
The first time the weight passes the point of equilibrium (
Since, the weight passes the point of equilibrium,
Hence, the first time the weight passes the point of equilibrium
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning