Maximum displacement covered by a body in time half of its own time period?

Thread starter waleed21
Start date Jun 25, 2012
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Body Displacement Maximum Period Time Time period

In summary, the maximum displacement of a body is the greatest distance it has moved from its original position. It is directly related to time half of its time period, and is affected by the amplitude, frequency, and time period of its motion. It can be greater than its amplitude in cases of non-simple harmonic motion. The formula for calculating maximum displacement is A = x_max = A * sin(2πt/T), where A is the amplitude, t is the time, and T is the time period of the body's motion.

Jun 25, 2012

waleed21

Hi everyone!

Anyone knows what is the maximum displacement covered by a body in a time equal to half of its time period? Please also give an example. Thank you.

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Jun 25, 2012

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I think there is some information missing here. What is the "time period" of a body?
Maximum displacement where?

1. What is the definition of maximum displacement?

The maximum displacement of a body is the greatest distance the body has moved from its original position.

2. How is the maximum displacement related to time half of the body's time period?

The maximum displacement of a body is directly related to time half of its time period. This means that at the halfway point of the body's time period, it will have reached its maximum displacement.

3. What factors affect the maximum displacement of a body?

The maximum displacement of a body is affected by the amplitude of its motion, its frequency, and the time period of its motion. These factors determine how far the body will move from its original position.

4. Can the maximum displacement of a body be greater than its amplitude?

Yes, the maximum displacement of a body can be greater than its amplitude. This occurs when the body's motion is not simple harmonic motion, but instead has a combination of different types of motion.

5. How is the maximum displacement calculated?

The maximum displacement of a body can be calculated using the formula: A = x_max = A * sin(2πt/T), where A is the amplitude, t is the time, and T is the time period of the body's motion.