Whether or not the particle performs complete oscillations?

In summary, the conversation discusses how to determine if a particle attached to two elastic strings performing SHM will complete oscillations. The example given involves a particle with a given speed and acceleration, and the question is how to determine if the particle will complete oscillations based on the given information.
  • #1
devious_
312
3
If you have a particle that is attached to two elastic strings moving with SHM. How can I determine whether or not the particle performs complete oscillations?

For example I have a particle that's at a point equidistant from A and B (which are the ends of the two strings), and say that the the point where the particle is at equilibrium is 2m from point A (and 3m from point B). If the particle is given a speed V when its at the midpoint of A and B towards the point of equilibrium, say it performs SHM with acceleration a=-(g/k)x. How can I determine using the information I have what I need for the particle to perform complete oscillations? Like, for example, if u^2<3gk then the particle will perform complete oscillations. (The values I used are examples and aren't correct.)
 
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  • #2
What do you mean by "complete" oscillations?
 
  • #3
Nevermind, I got it. :smile:
 

Related to Whether or not the particle performs complete oscillations?

1. What is a complete oscillation?

A complete oscillation refers to the movement of a particle from one extreme point to the other and back to its starting point. It is a full cycle of oscillation.

2. How do you determine if a particle performs complete oscillations?

To determine if a particle performs complete oscillations, you need to observe its movement and track its displacement over time. If the particle returns to its starting point after completing a full cycle of oscillation, it can be considered as performing complete oscillations.

3. Can a particle perform incomplete oscillations?

Yes, a particle can perform incomplete oscillations. This means that the particle does not return to its starting point after a full cycle of movement, but instead stops at a point before reaching the starting point. Incomplete oscillations can occur due to external forces or damping effects.

4. What factors affect whether or not a particle performs complete oscillations?

The factors that affect whether or not a particle performs complete oscillations include the amplitude of the oscillations, the frequency of the oscillations, and the presence of external forces or damping effects. These factors can alter the particle's movement and determine if it will complete a full cycle of oscillation.

5. Why is it important to determine if a particle performs complete oscillations?

Determining if a particle performs complete oscillations is important because it helps us understand the behavior of the particle and its movement patterns. It also allows us to make accurate predictions and calculations related to the particle's motion. Additionally, it can help us identify any external factors that may be affecting the particle's movement.

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