To graph: the displacement function and to find the time beyond which the distance between the weight and equilibrium does not exceed 1 foot.
Answer to Problem 90E
The time beyond which the displacement does not exceed 1 foot from equilibrium is 1.49 sec.
Explanation of Solution
Given information:
The displacement from equilibrium of a weight oscillation on the end of a spring is given by
Where
Calculation:
Consider the displacement
Use Ti-83 calculator to graph the displacement function
Step 1: Start T-83 calculator and press WINDOW button to set the coordinates of viewing windows as shown below
Step 2: Press
Step 3: Press TRACE button and use arrow keys to move along the simple harmonic curve. Move the cursor to the point where
Therefore, for the time beyond which the displacement does not exceed 1 foot from equilibrium is 1.49 sec.
Chapter 5 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