Which method is correct for this problem involving motion of

In summary, the conversation discussed two methods for determining the direction of two electric forces on a particle. The first method involved analyzing a diagram and considering the direction of the forces when the particle was at the top. The second method involved finding the minimum tension on a string by taking into account the centripetal force, weight of the mass, and the two electric forces. There was some disagreement about the direction of the forces, with one person believing they were in the same direction and another thinking they were not. The second method was also questioned as being similar to the first method but with poor execution.
  • #1
Sanchayan Dutta
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  • #2
It may be that none of the answers are right.
For the first method, are the two electric forces on Q in the same direction, when Q is on top?
 
  • #3
nasu said:
It may be that none of the answers are right.
For the first method, are the two electric forces on Q in the same direction, when Q is on top?
yes they are in same direction.
 
  • #4
Do you think that your diagram represents the situation described in the problem?
I mean "particle B at the highest point".
 
  • #5
The tension in the string is zero at the top for the given conditions.
Add the contributions to the tension (centripetal force, weight of the mass, and the two electrical forces
such that the tension is zero.
It might be easier to think of the acceleration at the top (m v^2 / R = weight + the two electrical forces)
 
  • #6
Sanchayan Dutta said:
yes they are in same direction
They are not. Maybe, as nasu wonders, you are taking Q at the lowest point instead of the highest.
In your method 2, you write that the tension is minimum when Q is at the bottom. What makes you think that?
J Hann said:
Add the contributions to the tension (centripetal force, weight of the mass, and the two electrical forces such that the tension is zero
Seems to me that is exactly Sanchayan's method 1, but the execution was lacking.
 

1. What is the difference between the various methods for analyzing motion in a problem?

The main difference between the various methods for analyzing motion in a problem is the level of complexity and accuracy. Some methods, such as the graphical method, are more basic and provide a visual representation of the motion. Others, like the calculus-based methods, are more advanced and can provide more precise calculations. The choice of method depends on the specific problem and the level of accuracy required.

2. How do I determine which method is appropriate for a specific problem involving motion?

The choice of method depends on the type of motion being analyzed and the available data. For linear motion with constant acceleration, the equations of motion can be used. For more complex motions, such as projectile motion, the vector approach or calculus-based methods may be necessary. It is important to carefully analyze the problem and consider the given information before selecting a method.

3. Can I use more than one method to analyze a problem involving motion?

Yes, it is possible to use multiple methods to analyze a problem involving motion. However, it is important to ensure that the results obtained from each method are consistent with each other. If there are discrepancies, it may indicate errors in the calculations or in the given data. It is also important to consider the level of complexity and time constraints when deciding to use multiple methods.

4. Are there any limitations to using certain methods for analyzing motion?

Yes, each method has its own limitations. For example, the equations of motion can only be used for linear motion with constant acceleration. The graphical method may not be suitable for complex motions involving multiple objects. It is important to understand the limitations of each method and choose the most appropriate one for the specific problem at hand.

5. Can the choice of method affect the accuracy of the results in a problem involving motion?

Yes, the choice of method can have a significant impact on the accuracy of the results. Some methods may provide more precise calculations, while others may be more prone to errors. It is important to carefully consider the given data and any limitations of the chosen method to ensure accurate results. It is also recommended to double-check the calculations and use multiple methods for verification if possible.

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