Concept explainers
(a)
To find: The equation of theoscillation of the spring.
(a)
Answer to Problem 36E
The equation of the motion of the massis
Explanation of Solution
Given Information:
The mass is
Concept used:
The standard form of the simple harmonic motion when the displacement is maximum at
The angular velocity is given by:
The function of the simple harmonic motion in time period term is given by,
The equation of the motion of the massis calculated as,
Thus, the equation of the motion of the massis
(b)
To find: The general formula for the frequency.
(b)
Answer to Problem 36E
The general formula for the frequency is
Explanation of Solution
Given Information:
The mass is
Concept used:
The standard form of the simple harmonic motion when the displacement is maximum at
The angular velocity is given by:
The function of the simple harmonic motion in time period term is given by,
The equation of the motion of the mass is calculated as,
The standard form of the simple harmonic motion when the displacement is maximum at
Compare both the equation to obtain,
Thus, the general formula for the frequencyis
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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