a.
Find the displacement when
a.
Answer to Problem 101E
Explanation of Solution
Given information:
The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by
Calculation:
Consider that in Harmonic Motion the displacement from equilibrium of an oscillating weight suspended by a spring and subjrct to the damping effect of friction is given by
Here
Consider the following figure
Substitute
Because
Hence, displacement is
b.
Find the displacement when
b.
Answer to Problem 101E
Explanation of Solution
Given information:
The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by
Calculation:
Consider that in Harmonic Motion the displacement from equilibrium of an oscillating weight suspended by a spring and subjrct to the damping effect of friction is given by
Here
Consider the following figure
Substitute
Evaluate value of cosine function using TI-83 calculator as shown below,
First set the calculator at radian mode then enter the function as below,
And
Hence,
Hence, the displacement is
c.
Find the displacement when
c.
Answer to Problem 101E
Explanation of Solution
Given information:
The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by
Calculation:
Consider that in Harmonic Motion the displacement from equilibrium of an oscillating weight suspended by a spring and subjrct to the damping effect of friction is given by
Here
Consider the following figure
Substitute
Evaluate value of cosine function using TI-83 calculator as shown below,
First set the calculator at radian mode then enter the function as below,
And
Hence,
Hence, the displacemnet is
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