After the work is done the elastic object undergoes oscillation. This gives us the time necessary to perform 5 cycles because in this part of the lab we will be finding an average time, T secper period of the oscillation.
This is a percent difference of only 0. Why does the sphere oscillate with simple harmonic motion. For a more accurate measurement, record the time for multiple periods and divide that time by the number of periods observed. Hanging a mass and measuring the displacement of the spring and 2.
Calculate its spring constant. Do your data confirm this expectation. The other point which might cause confusion is velocity being zero at the extreme positions, but remember we came across this before; when an object is thrown up its instantaneous velocity is zero at the very top, even though its acceleration is not zero.
It should be noted that the period of motion is independent of the amplitude of the oscillations. The data confirms this expectation, as the period was nearly the same for each trial. Using the known spring constant and Equation 5, calculate what the period T of oscillation should be for each of the masses; report them in Table 1.
Measure the period T with a stopwatch. The resulted graph of period versus amplitude yielded a linear fit slope of close to 0 This was repeated with various amounts of mass. What is the period of a system in simple harmonic motion.
We can further study spring constants by studying a spring that compresses and finding its constant. Equations in the form of Equation 3 describe what is called simple harmonic motion.
In addition, observations will be made throughout the activity and probing questioning will be used to assist students in clearing up any misconceptions they may have. Using the meter stick, note the non-deformed position of the spring, or the distance between the bottom of the spring and the tabletop.
The resulted graph of period versus amplitude yielded a linear fit slope of close to 0 This was something that could not be avoided; at that amplitude the spring pulled the hook up too quickly which caused the loss of contact.
This procedure was repeated for different values of the length of the pendulum. What is the percent difference between them.
Students will record data collected in a table and plot specific quantities in an x-y scatter plot. Hooke's Law implies that in order to deform an elastic object, like a slingshot, a force must be applied to overcome the restoring force exerted by that object.
In this video, we will demonstrate an experiment that uses springs and weights to validate the concepts behind Hooke's law and simple harmonic motion.
This experiment consists of a spring with a known spring constant, a stand, a set of weights with different but known masses, a meter stick, and a stopwatch. This means there was human error, most likely in terms of not being precise with the displacement readings because the recordings for the masses used were accurate.
We then did it for g, g, g, g, g, g, and g. We first hung g on the spring and then stretched it 10 cm down and let it go and run for 10 seconds. This was something that could not be avoided; at that amplitude the spring pulled the hook up too quickly which caused the loss of contact.
How is the period T expected to depend upon the amplitude A. How will students organize and interpret the data collected during the investigation. We could see that the plot created a linear graph so we performed a linear fit of the points. It is assumed that this lab follows a chapter lesson on simple harmonic motion.
Principles Holding a spring in either its compressed or stretched position requires that someone or something exerts a force on the spring. The data confirms this expectation, as the period was nearly the same for each trial.
As expected from Hooke's Law, the dependence is linear and the slope of the line gives the spring constant. Determine the spring constant from the inverse of the slope using 3. This oscillation happens over a very specific period given by this formula, making LC circuit an integral part of many electronic devices.
the requirements for simple harmonic motion, (3) to learn Hooke's Law, (4) to verify Hooke's Law for a simple spring, (5) to measure the force constant of a spiral spring, (6) In simple harmonic motion the period and frequency are independent of the amplitudes of the oscillations. Experiment 1 Hooke's Law and Simple Harmonic Motion.
1. To verify Hooke's law for a linear spring, and. 2. To verify the formula for the period, T, of an oscillating mass-spring system Equipment. Simple Harmonic Motion If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur.
SHM means that position changes with a sinusoidal dependence on time. Simple harmonic motion and Hooke’s law. The following text is used only for teaching, research, scholarship, educational use and informative. Title Hooke's Law and Simple Harmonic Motion: Description Students are asked to find the spring constant of spring 3.
From there they determine the magnitude of the unknown masses, period of oscillation, and the gravity on Planet X. where k is the spring constant and m the mass of the system undergoing the simple harmonic motion. The unit of angular frequency is The unit of angular frequency is radians per second = rad/s.Hookes law and simple harmonic motion