Forces Table Lab Report Essay
Name: Madison Campbell Partner George Tauber
Title: Forces Table
Introduction:
The purpose of this week’s lab, titled “Forces Table”, was to look at vectors in two dimensions. The lab was also used to help up understand how to sum up forces and the decomposition. In our experiment, we had to estimate a third force that would balance out our other two. This would then make the sum of the forces zero. To calculate our forces we used Newton’s Second Law below: (1)
In the above equation, the ƩF represents the sum of all of the forces in Newton’s. The m is the mass of our object in kg, and the a is the acceleration in m/s^2. As stated above, we are trying the get the ƩF to equal 0 by having no acceleration. We can also draw a “free-body diagram” to show what we did, and how the forces affected the lab.
Experimental Procedure:
To begin the lab, we first move our m_1 mass to 17ͦ and added weights so that the total mass was 100g. Next we put our m_2 mass at 67ͦ and added weights so that …show more content…
To find the uncertainties associated with this lab we used the direct method. For the mass, we took our smallest weight that we added and used half of that as our uncertainty. That means that our mass had an uncertainty of ±1g. Our angle uncertainty was half of a tick mark or ±0.50ͦ.
Calculations
Figure 1: Free-body Diagram
Figure 2: Force Diagram
To find the third force we use the equation 1 or Newton’s Second Law. Since we are working with two dimensions, we need to do calculations for both the x and y components.
(2)
(3)
(4)
(5)
ƩF_x represents the sum of all of the forces in the x-direction, while ƩF_y is the sum of all of the forces in the y-direction. The |ƩF| represents the magnitude of the sum of the vectors. The x ⃗ and y ⃗ represent the vector components. Since the acceleration is 0
Title: Forces Table
Introduction:
The purpose of this week’s lab, titled “Forces Table”, was to look at vectors in two dimensions. The lab was also used to help up understand how to sum up forces and the decomposition. In our experiment, we had to estimate a third force that would balance out our other two. This would then make the sum of the forces zero. To calculate our forces we used Newton’s Second Law below: (1)
In the above equation, the ƩF represents the sum of all of the forces in Newton’s. The m is the mass of our object in kg, and the a is the acceleration in m/s^2. As stated above, we are trying the get the ƩF to equal 0 by having no acceleration. We can also draw a “free-body diagram” to show what we did, and how the forces affected the lab.
Experimental Procedure:
To begin the lab, we first move our m_1 mass to 17ͦ and added weights so that the total mass was 100g. Next we put our m_2 mass at 67ͦ and added weights so that …show more content…
To find the uncertainties associated with this lab we used the direct method. For the mass, we took our smallest weight that we added and used half of that as our uncertainty. That means that our mass had an uncertainty of ±1g. Our angle uncertainty was half of a tick mark or ±0.50ͦ.
Calculations
Figure 1: Free-body Diagram
Figure 2: Force Diagram
To find the third force we use the equation 1 or Newton’s Second Law. Since we are working with two dimensions, we need to do calculations for both the x and y components.
(2)
(3)
(4)
(5)
ƩF_x represents the sum of all of the forces in the x-direction, while ƩF_y is the sum of all of the forces in the y-direction. The |ƩF| represents the magnitude of the sum of the vectors. The x ⃗ and y ⃗ represent the vector components. Since the acceleration is 0