Determine the resultant displacement

In summary, resultant displacement is the overall change in position or location of an object, calculated by finding the vector sum of all individual displacements. It takes into account both magnitude and direction, and can be negative if the object moves in the opposite direction of its initial position. Resultant displacement is different from total displacement, as it is a vector quantity while total displacement is a scalar quantity. It also relates to velocity and acceleration, as it can be used to calculate an object's average velocity and acceleration over a given time interval.
  • #1
Physics2015
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Homework Statement


Using the superposition principle, determine the resultant displacement of the particles in the medium, at the instant shown.

Homework Equations

The Attempt at a Solution

 

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  • #2
Physics2015 said:

Homework Statement


Using the superposition principle, determine the resultant displacement of the particles in the medium, at the instant shown.

Homework Equations

The Attempt at a Solution

This is what I could think of. I'm not sure how it should be
 

Attachments

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  • #3
What does the diagram represent? How does it relate to particles, medium, and an instant in time?
 

1. What is the definition of resultant displacement?

Resultant displacement is the overall change in position or location of an object, taking into account both magnitude and direction.

2. How is resultant displacement calculated?

Resultant displacement can be calculated by finding the vector sum of all individual displacements. This can be done by using the Pythagorean theorem and trigonometric functions to determine the resultant magnitude and direction.

3. What is the difference between resultant displacement and total displacement?

Resultant displacement takes into account the net displacement of an object, while total displacement refers to the total distance an object has traveled regardless of direction. Resultant displacement is a vector quantity, while total displacement is a scalar quantity.

4. Can resultant displacement be negative?

Yes, resultant displacement can be negative. This indicates that the object has moved in the opposite direction of its initial position.

5. How does resultant displacement relate to velocity and acceleration?

Resultant displacement is the change in position of an object, while velocity is the rate of change of displacement over time and acceleration is the rate of change of velocity over time. Resultant displacement can be used to calculate an object's average velocity and acceleration over a given time interval.

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