# The Force Table Lab Conclusion Essay

Mozaffari 2

Introduction:

In this experiment, we performed three trials to try figuring out the equilibrant using trigonometry. A certain physics teacher who accidently drops bricks off of buildings to kill students gave us two angles with the force applied to each angle. For the first two trials, we did the trigonometry first, then we checked our calculations by testing it with a force table. Fortunately, the calculations added up and the ring was balanced in the middle of the force table. For the 3

rd

trial, we did not use the force table and only used trigonometry. There are three major ideas that play part in this experiment:

Newton’s 2

nd

Law, Newton’s

3

rd

Law, and vectors.

Newton’s 2

nd

Law helps us figure out the amount of force applied to the angle. The given mass would be multiplied by 9.8 which gives

you the force. Newton’s 3

rd

law states that for every action, there is always an equal and opposite reaction. This applies to this lab because to neutralize the resultant angle, there must be an equal amount of force pulling in the exact opposite direction. That is why you add 180 to the resultant angle. Lastly, vectors show magnitude and direction. In this lab, vectors were used multiple times to show in which way the forces pulled the ring. For example, in trial 2, for one angle, it pulled one way and for the other angle, it pulled the opposite way. Whichever angle had a stronger force, the ring would be pulled more towards that direction. Also, the resultant angle pulls one way and its opposite angle pulls the other way with the same force. It is very similar to a tug-of-war rope. When one teams pulls

one way and the other team pulls the other way with the same force, the rope won’t move; only

the tension of the rope will increase. This is why the ring in the center of the table stays exactly where it was only raised up slightly. At the end of the experiment, we can conclude that trigonometry can be used in place of a force table.

Introduction: Vectors are forces with magnitude and direction. When studying a pair of vectors, one is able to calculate a resultant vector that would balance the other two to create a state of equilibrium. When studying this resulting set of three vectors balanced to a state of equilibrium, one is able to break each vector down into its x and y components, then the sum of the x’s and y’s should equal zero to demonstrate the state of equilibrium that the system is in. This is essentially the process we went through in this lab to demonstrate the equilibrium in a set of pulleys on a force table. Procedure: We began this experiment by setting up a symmetric system of three pulleys, each with 150g, 120 degrees apart, to achieve a state of equilibrium. We tested the validity of our equilibrium by removing the pin in the center circle holding the pullies together; when the system did not move upon removing the pin, we knew we had achieved equilibrium. By slightly changing the angle of one of the pullies, we determined our error analysis angle to be 5 degrees and by adding mass to one of the pullies, we determined our error analysis magnitude to be 10g. Using this information we drew a free body diagram of the system in our lab notebooks, depicting our specific margins for error analysis. Next, we created a new equilibrium system in which Pullies #1 & #2 represented

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