Lab Report_ Springs
Springs and Oscillators
Abstract
Two experiments were conducted to find the spring constant of a steel spring, and another experiment using a rubber band was performed to see if it agreed with Hooke's law. The spring constant was found statically by measuring the distance traveled as different masses were applied, and also found dynamically by measuring the period of a mass hung from one end and pulled down then released into vertical oscillations. We found that the rubber band does not following Hooke's law due to its non linear attributes of its graph of displacement vs. force. The spring however, followed Hooke's law and the resulting values for static spring constant and dynamic spring constant were 30.30±.35N/m and 26.93±1.32 N/m, respectively.
OBJECTIVE
The objectives of this lab are to verify the linear relationship between displacement and elastic force for different objects, to measure the value of the dynamic spring constant, and to measure the effective mass of the spring.
EQUIPMENT
Metal stand, meter stick, spring, rubber band, weights, hanger, timer, and computer.
PROCEDURE
The procedure for this lab is done in three parts. In the first part, we began by measuring the initial position of the mass hanger with 200g from a spring attached to a support stand. Next, data for position and mass were recorded for each 100 gram weight that was added to the hanger up to a total of 700 grams. Data was recorded again with the removal of each 100 gram weight for uncertainty purposes. The data was entered in Graphical Analysis and graph for displacement vs. elastic force was created.
In the second part, the same procedure was performed, except a rubber band replaced the spring. Data was recorded and again a graph was generated for displacement vs. elastic force.
The last part was to measure the period for a range of masses from 200 grams to 600 grams. The period T, the time for completing one cycle, were timed
Abstract
Two experiments were conducted to find the spring constant of a steel spring, and another experiment using a rubber band was performed to see if it agreed with Hooke's law. The spring constant was found statically by measuring the distance traveled as different masses were applied, and also found dynamically by measuring the period of a mass hung from one end and pulled down then released into vertical oscillations. We found that the rubber band does not following Hooke's law due to its non linear attributes of its graph of displacement vs. force. The spring however, followed Hooke's law and the resulting values for static spring constant and dynamic spring constant were 30.30±.35N/m and 26.93±1.32 N/m, respectively.
OBJECTIVE
The objectives of this lab are to verify the linear relationship between displacement and elastic force for different objects, to measure the value of the dynamic spring constant, and to measure the effective mass of the spring.
EQUIPMENT
Metal stand, meter stick, spring, rubber band, weights, hanger, timer, and computer.
PROCEDURE
The procedure for this lab is done in three parts. In the first part, we began by measuring the initial position of the mass hanger with 200g from a spring attached to a support stand. Next, data for position and mass were recorded for each 100 gram weight that was added to the hanger up to a total of 700 grams. Data was recorded again with the removal of each 100 gram weight for uncertainty purposes. The data was entered in Graphical Analysis and graph for displacement vs. elastic force was created.
In the second part, the same procedure was performed, except a rubber band replaced the spring. Data was recorded and again a graph was generated for displacement vs. elastic force.
The last part was to measure the period for a range of masses from 200 grams to 600 grams. The period T, the time for completing one cycle, were timed