For simple harmonic motion the period T is independent of the amplitude but does depend on the stiffness of the spring force constant k and the inertial mass M where In this experiment the objective is to determine the force constant k two ways - by investigating Hookes law and by investigating the period of oscillation. After graphing forces versus displacement a value of 353 Nm was determined as the spring constant.
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Hookes 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.
. Matthew Mannetta Simple Harmonic Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. Simple harmonic motion arises whenever an object is returned to the equilibrium position by a restorative force proportional to the objects displace- ment. This motion is over the same path which includes an equilibrium position that.
Daidun Dupre and Taha Asif. Hookes Law and Simple Harmonic Motion Protocol Hookes law may also be expressed in terms of stress and strain. This lab is set up for us to to be able to determine the spring constant with two dif ferent.
During part one of the experiment the vertical displacement of a spring was measured as a function of force applied to it. Download Free Hooke S Law And Simple Harmonic Motion Webign Hooke S Law And Simple Harmonic Motion Webign. Because the force is proportional to displacement of the spring from its equilibrium position a mass attached to the spring will undergo simple harmonic motion.
General College Physics I PHYS 1441 Hooke s Law and Simple Harmonic Motion Lab Report. Objects that quickly regain their original shape after being deformed by a force often obey Hookes law. Hookes Law and Simple Harmonic Motion Protocol Hookes.
F µ - s Þ The most common example of Hookes Law is a stretched string. ΣF -kx where ΣF is the resultant force on the oscillating body x is the vector displacement from equilibrium position and k is the constant of proportionality called the spring constant. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations.
Simple harmonic motion and Hookes law Hookes Law Hookes Law states that when an object is stretched the restoring force is directly proportional to the displacement provided the elastic limit is not exceeded. Adam Capriola Created Date. The purpose of the experiment was to use Hookes Law and Simple Harmonic Motion in measuring the spring force constant and motion in a spring-mass system.
F - k s We represent this mathematically as follows. This follows Hookes Law which states that. Hookes Law and Simple Harmonic Motion Dr.
Hookes Law and Simple Harmonic Motion Esther Prado-Jaimes Objective. This lab is set up for us to to be able to determine the spring constant with two dif ferent methods. Because the force is proportional to displacement of the spring from its equilibrium position a mass attached to the spring will undergo simple harmonic motion.
In this lab we will verify Hookes Law and learn about simple harmonic motion. The spring constant refers to how s tiff a. The motion of the spring will be compared to motion of a pendulum.
The minus sign in front of the spring constant in equation 1 indicates that the elastic force and stretch act in the opposite direction. Into Newtons Second Law one can derive the equation for the angular resonant frequency of the oscillating system. 1 State Hookes law.
Bring thumb drive for this lab. We will determine the spring constant for an individual spring using both Hookes Law and the properties of an oscillating spring system. It is also possible to study the effects if any that amplitude has on the period of a body experiencing simple harmonic motion.
The motion of the spring will be compared to motion of a pendulum. F el k Δ x. Hookes Law Simple Harmonic Motion Introduction.
The starting position of the spring was recorded using a stretch indicator. The data correlate close to Hookes Law but not quite. This prelab is worth 15 points.
This preview shows page 1 - 3 out of 6 pages. Hookes Law and Simple Harmonic Motion Lab Reportpdf - Lab. Unit 7 Hookes Law and Simple Harmonic Motion This is the Signature assignment.
And the gravitational accel eration with a pendulum. F el k x 1 where k is a constant usually called spring constant and x is a stretch the di erence between new x and equilibrium position. Experiment 8 Data Sample.
This experiment examines Hookes law and simple harmonic motion. Hooke s Law and Simple Harmonic Motion Lab Report. The law states that F -ky where F is in this case Mg and y equals the negative displacement.
Weiwei Sun Phys 205 - WHA 25 October 2021 Elizabeth N. 5 ω. In this lab we will verify Hookes Law and learn about simple harmonic motion.
Write the equation for it and define each variable. In this lab we will observe simple harmonic motion by studying masses on springs. Methods and the gravitational acceleration with.
Hookes Law and Simple Harmonic Motion Author. 2232010 124000 AM Other. Mathematically this can be written as Hookes law which is.
Hookes Law and Simple Harmonic Motion The spring extended 5 mm each time a 10 g mass is added which increased the force due to gravity by 01 N. A X max ω 2 cos ω t and 1. 2 Write down the equation for the time period of an object of mass M hooked horizontally b vertically by a spring of spring.
Hookes law in simple terms says that strain is directly proportional to stress. Weiwei Sun Phys 205 - WHA 25 October 2021 Elizabeth N. Adam Capriola Last modified by.
Hookes Law and the phenomenon of simple harmonic motion help in understanding the physics associated with elastic objects. The stretch x according to Hookes Law. Daidun Dupre and Taha Asif Dr.
Hookes law only holds. F kx 121 The illustrative example above is Hookes Law which describes the restorative force of an oscillating spring of stiffness k spring constant. Where k is the spring constant and m the mass of the system undergoing the simple harmonic motion.
Simple Harmonic Motion SHM is the motion when a position of a body can be described by a sinusoidal or a cosinusoidal function of time.
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