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Grade: 11

                        

We have encountered many vector quantities so far, including position, displacement, velocity, acceleration, force, momentum, and angular momentum. Which of these are defined in- dependent of the choice of the origin in the reference frame?

5 years ago

Answers : (1)

Kevin Nash
askIITians Faculty
332 Points
							The position of the particle is measured with respect to the origin, and is therefore dependent on the choice of origin within a reference frame.
The displacement of the particle is the change in the position of the particle, and is independent of the choice of the origin. It is important to note that the position is independent on the choice of origin but the change in position will be the same for the observer at different origins.
Similarly, velocity is measured as the rate of change of displacement of the particle, and is independent of the choice of origin.
The acceleration of the particle is the rate of change of the linear velocity of the particle and is independent of the choice of origin because no matter where the particle is located, the change of velocity will be observed to be the same.
The force experienced by the particle is depends on its mass and the acceleration, both of which are independent of the location of origin in reference frame. Therefore, the force is also independent of the choice of origin.
The angular moment of the particle is measured using the position vector relative to origin. Therefore any change in origin would cause a change in the angular momentum thereby proving the fact that the angular momentum is dependent on the choice of origin within a reference frame.
5 years ago
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