Lab Report 2-Aliah Hamus (1)

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Lab IV: Asymmetric Balance Aliah Hamus March 20, 2024 Physics 1101W, Professor: Ken Heller, TA: Hao Zhang Introduction A physicist like myself wants to understand and achieve asymmetric balance in structures, ranging from large buildings to the human body. This requires understanding the forces necessary for this certain type of design. Our objective was to make clear the principles describing the equilibrium of the structure through measurements and analysis. In learning how asymmetric balance is acquired, you must make a simple model of such a structure using a meter stick, a pivot, a mass set, and a balance. To guide the measurements, you have to build an equation to determine where the system of the meter stick and the weights on it will balance with an asymmetric pivot point and asymmetric placement of weights. For this experiment, my group and I measured out the balance point of the meter stick, which is the pivot point, and we also conducted many calculations and trials for the new balance points. Then, the physicists would change the mass of one of the masses put on the end of the meter stick and measure the lengths of both sides of the meter stick from the pivot point. Including the many trials that were documented, this gave us measurements for our lengths so we could understand the asymmetric balance in the physical, real world. Prediction The hypothesis for this lab was that as the mass increased on one side of the meter stick, the pivot point would also have to move more and more. In our experiment on asymmetric balance within certain structures, the mass distribution and placement of the pivot point will have an effect on the equilibrium of the system. We predicted that increasing the mass of one of the weights on the meter stick would result in a shift in the pivot point to achieve proper equilibrium. The following equations were used to calculate our graph below: - F=ma, force equation - Conservation of Energy - (m1)(L1)=(m2)(L2) The force equation by definition is the net force acting on an object that is equal to the product of mass and acceleration. Although there is no acceleration during this process, there is still gravitational force acting on the whole system. Conservation of energy is the total energy of an isolated system is constant despite internal changes. The final equation was to show that the masses and lengths of each side of the pivot point have to be equal to show equilibrium.

Procedure First, we set up the experiment consisting of a meter stick, a pivot mechanism, a set of masses, and a balance. We had to ensure that the meter stick was secure and the pivot mechanism would not adjust in any way, otherwise, this would affect our lengths. With the meter stick balanced and horizontal, we identified and marked the initial pivot point, which was 50 centimeters. Next, we placed an equal mass on each end of the meter stick and recorded the distances, or lengths, from the pivot point to each mass. This also established the initial balance. Then, we would just adjust the mass on one side of the meter stick, which would make us have to also adjust the pivot point in order for the meter stick to be horizontal. Once we adjusted the pivot point and the mass, we measured the lengths from the pivot point and noticed any change in equilibrium. For every trial, there was a different mass and length for each, except mass 1 was the same since we could only change mass 2. Finally, we analyzed the data collected and noticed the relationships between the mass distribution, pivot placement, and equilibrium. Data Figure 1: All Trials Figure 1: Length 2 and 1/mass2 are represented and are shown that they both act on each other as they continue to increase. Since Length 2 and 1/mass2 both increase, we know that as more weight we put on mass 2, the length of L2 also increases since the equilibrium needs to stay constant and hold a steady balance.

The following are going to be notes that were taken throughout the experiment which are also included in figure 1. Analysis Now that our calculations have been completed, we know that as mass increases, the length 2 increases, and 1/mass 2 also increases. The measurements did compare to our prediction because we predicted that as the mass increases, the lengths would also change since the pivot point would be adjusted to be in equilibrium and make the meter stick horizontally. These same trends were also shown in our graphs, even though we changed the pivot point and used different masses, we still saw the same results for each trial. Conclusion The experiment that was illustrated showed us as young physicists that asymmetric balance within structures can all be used to determine equilibrium, even in the real world. Conservation of energy and force all acted upon each other and the hypothesis that was conducted was confirmed and brought us to the conclusion that equilibrium can be impacted by structures, ranging from large buildings to the human body. This requires an understanding of the forces being applied for this type of design. This process provided a tangible, hands-on experience to comprehend the equilibrium within asymmetric balance. There could have been many enhancements of the precision in measurement by involving more accurate measuring tools and

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techniques. There was also not a large amount of trials that were conducted throughout the experiment which left the results on a very broad spectrum. This was, all in all, a great experience and I highly recommend it for future physics students to perform in order to achieve the goal of understanding asymmetric balance.

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