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16 Nov 2021
Given information
Given:
The following information is supplied to us:
The kinetic and potential energies are equal, and the total energy is divided in half.
Formula used:
The equation for the kinetic energy of an item at the same distance is:
The potential energy is determined using the formula:
Where,
is the mass
is the natural frequency
=is the displacement of the particle
Step-by-step explanation
Step 1.
When a system performs a simple harmonic motion, its total energy remains constant. This is due to the restoring force's conservative character. During a basic harmonic motion, however, the object's kinetic and potential energy change continually.
The object is briefly at rest when it is at one of the extremes (displacement = amplitude), and the kinetic energy is zero, while the potential energy is highest (equal to the total energy). The potential energy becomes zero at the mean location, whereas the kinetic energy achieves its greatest value. The values of potential and kinetic energy become equal at some point between the mean position and amplitude.
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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5a
- Problem 5b
- Problem 6a
- Problem 6b
- Problem 7
- Problem 8a
- Problem 8b
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 11
- Problem 12
- Problem 13
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 15a
- Problem 15b
- Problem 15c
- Problem 15d
- Problem 16
- Problem 17
- Problem 18a
- Problem 18b
- Problem 19a
- Problem 19b
- Problem 20a
- Problem 20b
- Problem 21a
- Problem 21b
- Problem 21c
- Problem 21d
- Problem 21e
- Problem 22
- Problem 23
- Problem 24
- Problem 25a
- Problem 25b
- Problem 25c
- Problem 25d
- Problem 26
- Problem 27
- Problem 28
- Problem 29a
- Problem 29b
- Problem 30a
- Problem 30b
- Problem 31
- Problem 32
- Problem 33
- Problem 34a
- Problem 34b
- Problem 34c
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 37c
- Problem 38
- Problem 39a
- Problem 39b
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44a
- Problem 44b
- Problem 45a
- Problem 45b
- Problem 46
- Problem 47
- Problem 48a
- Problem 48b
- Problem 48c
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55a
- Problem 55b
- Problem 55c
- Problem 56
- Problem 57
- Problem 58
- Problem 59
- Problem 60
- Problem 61