# What is the maximum kinetic energy for harmonic motion with a reduced amplitude?

• Frouel
In summary, harmonic motion is a type of periodic motion where the motion follows a sinusoidal pattern. A wave is a disturbance that carries energy but not matter. Longitudinal waves have particles that vibrate in the same direction as the wave, while transverse waves have particles that vibrate perpendicular to the direction of propagation. Frequency and period are inversely related in harmonic motion. Simple harmonic motion has no external force or friction, while damped harmonic motion has an external force or friction causing the amplitude to decrease over time.
Frouel
Homework Statement
Before the rocket launch, the pendulum suspended in the cockpit made vibrations with the oscillation period of 2 s. During the vertical launch of the rocket, it was noticed that the pendulum made 5 oscillations in 6 s. Calculate the acceleration of the rocket. g = 10m / s2

The maximum kinetic energy of a harmonically vibrating body is 10mJ. Calculate its kinetic energy when the pendulum deflection is A / 3, where A - vibration amplitude

A stone was released into the shaft, which hit the bottom with a velocity of v = 40 m / s2. Assuming that the stone falls with the acceleration due to gravity g = 10 m / s2 and the voice velocity in the air is 340 m / s, calculate the time after which we will hear the stone knock against the bottom of the shaft.
Relevant Equations
Associate with simple harmonic motion and waves.
Solutions in a file.

#### Attachments

• F747DC49-BC46-4130-A71E-AFDC89F77A43.jpeg
69.2 KB · Views: 85
• 534945D1-19BF-4F49-A1CF-280C211FA0E3.jpeg
69.9 KB · Views: 98
• FDFF44B2-9EAA-4875-8514-EDF97783B250.jpeg
64.9 KB · Views: 91
You haven't answered question 1. I'm not sure what you've done for question 2, but the answer seems wrong. Your working for question 3 is not visible.
Make some effort and type out your working.

Further to the response above, please use a separate thread for each unrelated problem.
In question 2, you have calculated what the maximum KE would be if the amplitude were only one third. That is not what you are asked.

## 1. What is harmonic motion?

Harmonic motion is a type of periodic motion in which the displacement of an object from its equilibrium position follows a sinusoidal pattern. This means that the object moves back and forth in a regular pattern, with equal amounts of time spent on each side of the equilibrium position.

## 2. What is the difference between simple harmonic motion and damped harmonic motion?

Simple harmonic motion refers to a motion that continues indefinitely without any external forces acting on the object. Damped harmonic motion, on the other hand, involves an external force (such as friction) that gradually reduces the amplitude of the motion over time.

## 3. How are frequency and period related in harmonic motion?

Frequency and period are inversely related in harmonic motion. Frequency is the number of complete oscillations per unit time, while period is the time it takes for one complete oscillation. The higher the frequency, the shorter the period and vice versa.

## 4. What is a wave?

A wave is a disturbance that travels through a medium, transferring energy from one point to another without causing any net displacement of the medium itself. Waves can be classified as mechanical or electromagnetic, depending on the type of medium they travel through.

## 5. How do waves transfer energy?

Waves transfer energy by causing particles in the medium to vibrate and pass the energy along to neighboring particles. This transfer of energy continues until the wave reaches its destination or dissipates. The amount of energy transferred by a wave is directly proportional to its amplitude.

• Introductory Physics Homework Help
Replies
1
Views
829
• Introductory Physics Homework Help
Replies
13
Views
300
• Introductory Physics Homework Help
Replies
5
Views
1K
• Introductory Physics Homework Help
Replies
16
Views
376
• Introductory Physics Homework Help
Replies
5
Views
821
• Introductory Physics Homework Help
Replies
2
Views
1K
• Introductory Physics Homework Help
Replies
7
Views
716
• Introductory Physics Homework Help
Replies
2
Views
1K
• Introductory Physics Homework Help
Replies
2
Views
1K
• Introductory Physics Homework Help
Replies
7
Views
949