Research 1: Basic Harmonic Action Dominic Natural stone Lab Spouse: Andrew Lugliani January being unfaithful, 2012 Physics 132 Research laboratory Section 13 Theory With this experiment we investigated and learned about simple harmonic movement. To do this all of us hung and measured different masses on a spring-mass program to calculate the power constant t. Simple harmonic motion can be described as special type of periodic movement.
It is best referred to as an oscillation motion that produces an object to maneuver back-and-forth in answer to a restoring force given by Hooke’s Legislation: 1) F=-kx Where e is the power constant.
In that case using two different types of procedures, we compute the value of the force regular k of your spring in our oscillating program. We seen the period of oscillation and use this formulation: 2) T=2(m/k) Then we reduced the equation to solve for the value of k by: 3) k=4^2/slope “Slope symbolizes the slope of the chart in procedure B. k is then the measure of the stiffness with the spring. We could then compare k to this of a vertically stretched spring with various masses M. Utilizing the following equation: 4) Mg=kx Where times is the distance of the stretch out in the planting season.
To find the value of the constant k put into effect the data via procedure A and chart it. Using this graph, all of us use equation: 5) k=g/slope We can review the two values of the regular k. Both values ought to be exact seeing that we utilized the same planting season in equally procedures. In this article simple harmonic motion is employed to compute the repairing force with the spring-mass system. Procedure Part A: 1st, we create the try things out by suspending the springtime from the support mount and measured the distance from the lower end of the planting season to the ground.
After, we all hung 75 grams in the spring and measured the new distance produced from the extend of the springtime. We after that repeated this task for public 200 to 1000 grams, by increasing the weight by 2 hundred grams every time. Then we-took this info and drawn them over a graph with suspended pounds Mg vs elongation by. After conspiring this info we were then able to assess the force continuous k from the slope of the graph. Portion B: First, we postpone 100 grms from the springtime and let it lay sleeping.
When the springtime was normally set in its equilibrium situation, we a bit pulled throughout the weight and recorded enough time it took to get the weight to total 10 amplitude and worked out the average period of each vacillation. We then simply repeated this procedure for world 100 to 1000 grams by elevating the pounds by 90 grams every time. After we completed this procedure we plotted a graph of T^2 verses hanging mass meters with the data. When then simply found the intercept by T^2=0 to view how it might compare with the significance of negative a third the mass of the planting season.
We after that also determined the springtime constant k by establishing the incline of the graph and compared it with the spring continuous k in part B. Data Part A: Mg(Kg/s^2)| X(m)| 1 . 96| 0. 39| 3. 92| 0. 63| 5. 88| 0. 86| 7. 84| 1 . 11| 9. 8| 1 . 36| Part W: M(Kg)| T (s)| T(s)| T^2(s^2)| 0. 1| almost eight. 24| zero. 824| zero. 679| zero. 2| being unfaithful. 87| zero. 987| 0. 974| zero. 3| doze. 74| 1 ) 274| 1 . 623| zero. 4| 13. 57| 1 . 457| installment payments on your 123| 0. 5| sixteen. 23| 1 ) 623| installment payments on your 634| zero. 6| 18. 49| 1 . 749| several. 059| zero. 7| 19. 21| 1 ) 921| a few. 69| 0. 8| 20. 26| 2 . 026| some. 105| 0. 9| 21. 69| installment payments on your 169| some. 705| 1| 22. 89| 2 . 289| 5. 24| Data Examination
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