Help Understanding Vectors, Equilibrants, and Force Tables

In summary, a physics lab was performed using a level force table with a string around a central post and four strings attached to it. Pulleys and weights were added to determine equilibrium and answer analysis questions. When discussing neglecting the masses of the weight holders, a specific example with numbers should be used to prove the point. Tilting the force table would alter the results due to the weight of the center ring. Friction in the pulleys could cause tension differences in the strings and introduce error in the results. Sources of error for the experiment include friction, particularly in the pulleys, inaccurate measurements from lab members, the inability to add fractions of a weight to the holders, and the possibility of the force table not being completely level.
  • #1
munchy35
27
0

Homework Statement



I performed a physics lab in which we had a level force table with a string around a post in the middle with four strings attached. we then attached pulleys for the strings and weights. we used vectors and weights to find the equilibrium - when the ring was centered. It is a pretty common lab. I'm just having difficulty answering analysis questions.

1. Suppose that the weight holders in this experiment all have the same mass. May their masses be neglected? Explain.

2. If the force table were tilted at a considerable angle, would the results be altered in any way? Explain.

3. Discuss the effects of friction on the measurements.


Homework Equations



No equations!

The Attempt at a Solution



1. I don't think mass could be neglected because force is a vector quantity - they have magnitude and direction. Without the mass, there is no magnitude. ...Is that wrong? Or worded wrongly?

2. The results would be altered if the table was tilted...not sure of explanation. The levelness of the table allows results to be accurate. Adding a tilt...would cause more mass to be added to one side to level out the ring.?

3. Friction - existed in the pulleys preventing the pulleys from transferring full amount of tension to the ring

I just need help answering and wording my answers.

Also would sources of error for lab include...
-friction
-inaccurate measurements from the lab members - not precise measurements
-inability to add a fraction of a weight to a weight holder
-force table might not be completely level

Thank you!
 
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  • #2
munchy35 said:
1. I don't think mass could be neglected because force is a vector quantity - they have magnitude and direction. Without the mass, there is no magnitude. ...Is that wrong? Or worded wrongly?
I don't think the explanation is satisfactory. If you think the mass of the hangers cannot be neglected, then you might construct a specific example with numbers to prove your point.

munchy35 said:
2. The results would be altered if the table was tilted...not sure of explanation. The levelness of the table allows results to be accurate. Adding a tilt...would cause more mass to be added to one side to level out the ring.?

Would the weight of the center ring have any influence?

munchy35 said:
3. Friction - existed in the pulleys preventing the pulleys from transferring full amount of tension to the ring

OK. Can you show that friction in a pulley would imply that the tension of the string on one side of the pulley is different from the tension of the string on the other side of the pulley? Would this cause error in the results of the experiment?

munchy35 said:
Also would sources of error for lab include...
-friction
-inaccurate measurements from the lab members - not precise measurements
-inability to add a fraction of a weight to a weight holder
-force table might not be completely level
You should discuss the sources of error using complete sentences and being as specific as possible. For example, don't just write "inaccurate measurements from the lab members". Instead, briefly discuss which particular measurements were likely to have introduced the most error and explain why.
 

Related to Help Understanding Vectors, Equilibrants, and Force Tables

1. What is a vector?

A vector is a mathematical quantity that has both magnitude and direction. It is represented by an arrow, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction.

2. What is an equilibrant?

An equilibrant is a vector that has the same magnitude as the resultant of two or more vectors, but points in the opposite direction. It is used to balance out the effect of the other vectors and bring the system to equilibrium.

3. How do you calculate the resultant of two or more vectors?

The resultant of two or more vectors can be calculated by using the Pythagorean theorem and trigonometric functions. First, the individual vectors must be broken down into their horizontal and vertical components. Then, the resultant can be calculated by finding the square root of the sum of the squares of the horizontal and vertical components.

4. What is a force table?

A force table is a device used in physics experiments to demonstrate the concept of vector addition. It consists of a circular table with a pulley at the center and three or more strings attached to the edge of the table. By attaching weights to the strings and adjusting their angles, the resultant of the forces can be calculated and tested.

5. How do vectors and force tables relate to real-life situations?

Vectors and force tables are used in various fields, such as engineering, physics, and navigation. In real-life situations, they can be used to calculate forces acting on objects, determine the direction and magnitude of forces, and analyze the equilibrium of a system. For example, in engineering, vectors and force tables are used in the design and construction of structures to ensure that they can withstand the forces acting on them.

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