For some other materials, such as aluminium, Hooke's law is only valid for a portion of the elastic range. They must be answered by each individual of the group. Δx: Is the displacement of the spring. The reason for the - sign is that F s and x always have opposite signs. The initial state may not be undefined, but can be null.
This was repeated with various amounts of mass. . Be sure to indicate a what the force pushes or pulls on, and b its direction. Background If an applied force varies linearly with position, the force can be defined as where is called the force constant. Note that the points fall precisely on the line since this is a virtual experiment.
All scale bars are 2 μm. Weigh the 5 loads using an electronic balance and record them. Expected results Mass used Force Spring length Extension 0 g 0 N 20 mm 20 mm 10 g 0. Expm 1 Experiment 1 Hooke's Law and Simple Harmonic Motion Objectives: 1. } The right-hand side constant requires four indices and is a fourth-rank quantity. He is a graduate of Haverford College, and has a master's degree in engineering from Northwestern University.
This is to signify that the restoring force due to the spring is in the opposite direction to the force which caused the displacement. Generally speaking, springs with large values can balance larger forces than springs with low values. A direct method exists for calculating the compliance constant for any internal coordinate of a molecule, without the need to do the normal mode analysis. Introduction: This report on the Stanford Prison Experiment will define the ethical issues related to prisoner treatment and prison culture in a mock scenario created 1971. Is there a difference in the percent differences? Place a 10 0g mass M 1 on the hanger and measure the change in length of the spring Δy. Hooke's equation holds to some extent in many other situations where an body is deformed, such as wind blowing on a tall building, a musician plucking a of a guitar, and the filling of a.
Be careful when you calculate this. One of the basic truths in the universe is that objects tend to go from a state of higher organization to a state of lower organization over time. In the case of a horizontal spring balance we would probably choose to establish the reference point by finding the force measured when the spring is unloaded. The force that that produces is called the weight. Remember that to convert g to kg, you have to divide by 1000. Hang an object of unknown weight from the spring, then measure the spring's change in length.
Do your results confirm or contradict Hooke's Law? Include specific reference to other groups' springs and their spring constants in your discussion. The material spring to be tested is fixed at one end of the clamp, hanging parallel with the ruler meter stick. For media which have the same physical properties in any direction , c can be reduced to only two independent numbers, the K and the G, that quantify the material's resistance to changes in volume and to shearing deformations, respectively. Using the values determined in each trial, the average value o the force constant was computed. Displacement is measured in centimeters.
However, when applying this value to the equation and using recorded displacement values, the calculated force come up less than the actual for used. When the spring is compressed or stretched the x value is positive. Please help to this article by more precise citations. A body of mass, , is suspended from a spring having a spring constant,. Different trials were done in order to compute for the elongation x.
How do your results differ? Calculation table of the spring constant of spring for 30. Determining the Force Constant of the Spring A mass was placed on the mass hanger. If you have specific questions about your science fair project or science fair, our team of volunteer scientists can help. Hooke's Law states that the extension of a spring is directly proportional to the applied load providing the elastic limit has not been exceeded At A level we express the idea in an equation: We can put this in an equation. You may use any commonly available lab equipment.
It is the force constant of the spring. The resulting coefficients are termed. It will be useful to include a diagram, but a diagram is not a substitute for a verbal description. Greg lives on campus at Woodberry with his wife Shari and their son Milo Cebu. Applications: Hooke's law is used to determine the yield point of a material.
A convenient way to apply a precisely-known force is to let the weight of a known mass be the force used to stretch the spring. Measure the initial length of the spring using a plastic ruler and record it. The force constant is k the proportionality constant if a spring. The spring followed a linear response against applied force, demonstrating the validity of Hooke's law at the nanoscale. It should help you understand how to work scientifically. This was accomplished via the geologic and field reports that I currently have access to. Recording Results The results were recorded in a table.