Research question:
How the different weights above a ruler can affect its bending?
Introduction:
My investigation is related with cranes as the cranes need to be made of materials that resist big amounts of weight and move it with out without breaking. My experiment will explain why the weight affect the bending of a material, in my case, a ruler. To explain why the ruler bends when we put weight we must explain why the force of gravity makes the weight go down and how does that affect if force.
If a body is near a planet, there will be an acceleration of that object directed to the central area of that planet. This is not possible if there are other forces affect them. In the earth, the acceleration of the gravity is 9.81 m/s². To know the force of the different weight we must use the formula Force=Mass x Acceleration, the unit of force is Newton, the unit for mass is kg and the unit for acceleration is m/s². We know that, for example, the first one won´t have mass so 0 x 9,81 m/s² is equal to 0 N. If we use second one the force will be 0,25 x 9,81 m/s², this is equal to 2.45 N. (Anonymous, 2016)
To explain why the ruler bend we should know some concepts. the ruler a solid material and it molecules are in ordered structures. The important point is that depending on the materials there are different types of flexibility, flexibility is the capacity of an object to bend without breaking. ("Definition of FLEXIBLE", 2016) For example, cranes are made of metal because it is very resistant and it isn't very flexible so it can bear a lot of weight easily. The plastic, instead, is very flexible and can bend easily. The ruler is a made off very resistant material although it is very flexible so it is perfect for the experiment.
If a body is near a planet, there will be an acceleration of that object directed to the central area of that planet. This is not possible if there are other forces affect them. In the earth, the acceleration of the gravity is 9.81 m/s². To know the force of the different weight we must use the formula Force=Mass x Acceleration, the unit of force is Newton, the unit for mass is kg and the unit for acceleration is m/s². We know that, for example, the first one won´t have mass so 0 x 9,81 m/s² is equal to 0 N. If we use second one the force will be 0,25 x 9,81 m/s², this is equal to 2.45 N. (Anonymous, 2016)
To explain why the ruler bend we should know some concepts. the ruler a solid material and it molecules are in ordered structures. The important point is that depending on the materials there are different types of flexibility, flexibility is the capacity of an object to bend without breaking. ("Definition of FLEXIBLE", 2016) For example, cranes are made of metal because it is very resistant and it isn't very flexible so it can bear a lot of weight easily. The plastic, instead, is very flexible and can bend easily. The ruler is a made off very resistant material although it is very flexible so it is perfect for the experiment.
Hypothesis:
From my point of view, the ruler that will bend the less will be the first one as it don´t have any weight on the end, this is because it will have the lowest force. The fifth ruler will be the one that will bend more as it will be the one with more weight so it will have the highest force and the ruler will bend more than the others.
Variables:
- The independent variable will be the weight that is on the end of the ruler. This is because I will manipulate it by changing the amount of weight in each ruler. This will affect directly the bending of the ruler. I will measure it with a balance. In the first ruler I won't put any weight. In the second ruler I will put 100 grams. In the third one I will put 200 grams. In the fourth ruler I will put 300 grams. Finally, in the last ruler I will put 400 grams of weight.
- The dependent variable will be the bending of the ruler. This is because it depend on the amount of weight that is on it end. I will measure it with a rule, I will measure the distance from the top of the table to the lowest part of the ruler when it is bent.
-The controlled variable will be the amount of ruler that will be fixed to the table, 15 centimeters, I will measure it with a ruler. Also a controlled variable will the position of the different weights on the end of the ruler, all 2 cm of the border, I will also measure it with a ruler. Another controlled variable will be the temperature. This is important as the temperature can affect the bending of a material. All of them are controlled variables because they are always the same quantity and they don't affect the other two variables.
Materials:
-Different weights
-5 Rules
-Stopwatch
-Tape
Method:
- First of all, I will prepare all the material on a table, t . Then I will fix with tape the first 5 cm of the first ruler to the table in a way that it don´t moves.
- Secondly, I will put the corresponding weight on the end of the ruler, in this case 0 grams.
- Thirdly, I measure the distance from the top of the table to the lowest part of the ruler. I will put the results in a table. I will do 2 more trials to have an average.
- Then I will repeat the process with the other four puting the results in the table.
- Using the data that we have collected in the step 3 and 4 we will do a clean table and a graph in excel.
Table and graph:
Relation between the mass on the ruler and the distance it bends (cm).
Mass (g)
|
Trial 1
|
Trial 2
|
Trial 3
|
Average
|
DESVEST
|
0
|
0,0
|
0,0
|
0,0
|
0,0
|
0,000000
|
100
|
3,0
|
3,5
|
3,5
|
3,3
|
0,235702
|
200
|
4,5
|
5,0
|
5,5
|
5,0
|
0,408248
|
300
|
7,0
|
8,0
|
8,0
|
7,7
|
0,471405
|
400
|
9,5
|
9,5
|
10,0
|
9,7
|
0,235702
|

Conclusion:
Firstly, we can see that there values between the
amount of mass and the centimetres displaced by the rulers are directly
proportional, this means that when we put more mass to the ruler, the
centimetres displaced by it will also increase. By this we know that the mass
is the indirectly proportional value and the centimetres displaced is the
directly proportional value as the centimetres displaced depends on the mass
and the mass doesn't depends on other variable. For example, we can see in the table
that with 100 grams, the average centimetres displaced are 3,3 while with 200
grams, the average centimetres displaced are 5. Also, because of the shape of
the graph we see that the difference between the values is nearly always the
same and that the graph is increasing.
The first error that we found was that as we were always touching the rulers, the rulers had a different position. Before starting with a new weight we put correctly the ruler but during the trials inadvertently we could have moved them a little. This is a very important factor because a slightly difference of position can affect the final result as it obtains more or less velocity. This is an example of random error as it is caused by unpredictable changes in the equipment or conditions of the experiment. It can be solved by fixing the rulers to the table with adhesive tape to avoid it movement.

The third error that we found was that when we were measuring the bending of the ruler we did not read correctly the measurements of the ruler and we did not collect exactly the distance the rule has doubled. This is an example of a parallax it is caused mainly by seeing the object at an oblique angle so we think that a way to solve this error is to observe the ruler with an angle of 0º so we always collect the data correctly.
Photos
We prepare the rules
Then we put the different eight above the rules and measure the distance it bends.
References:
- (2016). Retrieved 9 March 2016, from http://whatis.techtarget.com/definition/gravity-or-gravitationç
- Definition of FLEXIBLE. (2016). Merriam-webster.com. Retrieved 9 March 2016, from http://www.merriam-webster.com/dictionary/flexible
- Flexibility and toughness. (2016). Senze-instruments.com. Retrieved 16 March 2016, from http://www.senze-instruments.com/flexibility_and_toughness.html
- Free Standing Cranes Bring You Flexibility | EMH, Inc.. (2016). Emhcranes.com. Retrieved 11 April 2016, from http://www.emhcranes.com/free-standing-cranes-bring-you-flexibility/
- Gravitational Force: Definition, Equation & Examples - Video & Lesson Transcript | Study.com. (2016). Study.com. Retrieved 11 April 2016, from http://study.com/academy/lesson/gravitational-force-definition-equation-examples.html