College physics II Laboratory
“Hooke 's law and simple harmonic oscillations” by Mohamed Omer
Date performed January 18, 2015
Simple harmonic motion is the study of oscillation. An object undergoes oscillation when it experiences a restoring force which restores this object to equilibrium positon. The Simple harmonic oscillation occurs when the net force on an object along the direction of motion is proportional to the object’s displacement and in the opposite direction by this equation F = -kx. In addition, an object whose position-time graph makes a sine or cosine function is in simple harmonic motion. This type of relation is called Hooke’s law. The purpose of this experiment is to prove Hooke’s law and study Simple harmonic motion and to show that this equation T = 2 is valid during Simple harmonic motion.
The relevant theoretical concepts and equations used in this experiment are:
T = 2
| E1 − E2 |
E1 + E2
Percent difference =
The Computer and sensor calibration along with equipment such as DIN plug, force sensor, rod, clamp, spring, sensor’s hook, and hanger were all set up already in the laboratory before we started doing the experiment.
a) We used a meter stick to measure the position of the
Background Information: We are going to use our knowledge of the Le Chatelier’s principle in order to observe this experiment. The principle states that the equilibrium will shift in the direction that will minimize the effects of the change.
Remove the spinning mass from the apparatus, measure and record the mass. The experimental uncertainty in m is determined by the scale’s uncertainty. Replace the spinning mass onto the apparatus, but do not attach the spring yet. Obtain a bulls-eye level and adjust the leveling screws to level the apparatus. Return the bulls-eye level.
Therefore, a theoretical uncertainty value that accommodates both uncertainties of the measurement and the equipment is calculated. The theoretical uncertainty calculation is primarily based on the propagation of error formula. The theoretical uncertainty calculation is as follows.
Describe (sentences) the effect that manipulating each of the following variables has on the SIMPLE HARMONIC MOTION of the spring system. (Note, period, amplitude, speed max in description.
In this experiment,we applied Newton`s first law of motion. It descripes the external force as the sum of all external force applied to the object, which equals zero in equilirbium. As we have seen in the experiment, to reach equilibrium all the forces applied on an object shoud cancel each other out and total force reaches zero.Using different forces and weights we were able to reach equilibruim ineach trial of this
After finding the speed we can predict what the smallest frequency is to create a standing wave. This is known as the first harmonic which is also known as the fundamental frequency. Throughout this experiment we place different weights on the end of the string, because of this different tensions are created and the speed is calculated differently. We do this in order to examine how the different tensions of the string can create different frequencies for
Thus we have the equation of the pendulum’s linear motion Lθ” + 2L’θ’+ gθ = 0(3) Lθ and (Lθ)’ represent the pendulum’s sweep (fig.4) and curvilinear velocity,
By testing all the equipment, like the digimelt, this would prevent any mistakes or errors in the data. A way to test the digimelt would be to melt a known substance and see if the melting point obtained from the digimelt matches the melting from a trusted chemical source. Another way to improve this lab would be to use a new spatula every time a
This experiment shall be repeated twice or more to enhance accuracy of the results obtained. Besides detecting systematic errors, this experiment would aid on the technique and understandings to the correct use of these equipments.
Under the section called ‘Calibration’, WQA specifies that procedures are put in place to ensure that all equipment used for measuring, testing and inspecting gives accurate readings. The next section is ‘Product identification & traceability’. Clear identification of grade, inspection status and description of all material, whether
The objective of this practical is to determine acceleration due to gravity ‘g’ using the simple pendulum model. This is shown when a period of oscillation is seen to be independent of the mass of the mass ‘m’.