How Does a Tilted Force Table Impact Vector Equilibrium?

[munchy35]

I'm having trouble understanding the concept of a force table affecting the results of a equilibrant vector/string problem.

If the force table is tilted, the results would be affected, correct?

I just don't know how to explain this in physics terms. If the table is tilted, there will be more weight shifted toward the tilted side? Is this wrong?

Also, can if the mass of each vector in an experiment was the same, could you ignore the mass? I don't think you can because without the mass, vectors would be scalar quantities? I have no idea! lol Any help?

 

[tiny-tim]

I'm having trouble understanding the concept of a force table affecting the results of a equilibrant vector/string problem.

If the force table is tilted, the results would be affected, correct?

I just don't know how to explain this in physics terms. If the table is tilted, there will be more weight shifted toward the tilted side? Is this wrong?

Hi munchy35!

Force is a vector. So it has both magnitude and direction

The direction of the gravitational force changes, relative to the direction of the tension forces.

So everything changes (the vector triangle will be a different shape, for example).

Also, can if the mass of each vector in an experiment was the same, could you ignore the mass? I don't think you can because without the mass, vectors would be scalar quantities? I have no idea! lol Any help?

Mass has nothing to do with the difference between a scalar and a vector.

For example, good ol' Newton's second law is F = ma …

force and acceleration are both vectors, even though acceleration has no "m".

(so if everything on both sides of the equation has an "m", then yes it's ok to cancel or ignore it!)

 

[sir-pinski]

The concept of force tables and vectors can be confusing at first, but with some practice and understanding of the principles involved, it can become clearer.

First, let's define what a force table is. It is a device used in physics experiments to demonstrate the principles of vector addition and equilibrium. It consists of a circular table with a central point, where forces can be applied, and a number of strings attached to this central point, which can be pulled in different directions to create different force vectors.

Now, when we talk about a force table affecting the results of an equilibrant vector/string problem, we are referring to the fact that the table itself can introduce some errors or inconsistencies in the measurements. This is because the table is not always perfectly level or flat, and this can affect the accuracy of the force vectors being created. For example, if the table is tilted, the strings may not be pulled in exactly the intended direction, and this can result in incorrect measurements. Therefore, it is important to make sure that the force table is level and stable before conducting any experiments.

In terms of the mass of the vectors, it is important to consider the mass when calculating the equilibrant vector. This is because the magnitude of a force vector is directly proportional to its mass. So, if the mass of each vector is the same, then the magnitudes of the vectors will also be the same, and this will affect the calculation of the equilibrant vector. However, if the mass of the vectors is not given or is negligible, then it can be ignored in the calculations.

In summary, the force table can affect the results of an equilibrant vector/string problem if it is not level or stable, and it is important to consider the mass of the vectors in the calculations. With some practice and understanding, you will be able to confidently explain these concepts in physics terms.