# A lab involving the concept of hookes law and the idea of simple harmonic motion

General Lesson Plan Learning Objectives: What will students know and be able to do as a result of this lesson? State clearly the evidence for your answer. After graphing forces versus displacement, a value of 3. However, when applying this value to the equation and using recorded displacement values, the calculated force come up less than the actual for used.

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Multiplying that value by the extrapolated spring constant gives a theoretical force of 0. All other trials yield a similar lowball theoretical force.

How is the period T expected to depend upon the amplitude A? Do your data confirm this expectation? The data confirms this expectation, as the period was nearly the same for each trial.

Consider the value you obtained for C. The obtained value of C is 0. What is the percent difference between them? Repeat for a value for M of 1. Is there a difference in the percent differences?

If so, which is greater and why? This is a percent difference of 6. This is a percent difference of only 0. The greater percent difference occurs at the lower weight because the weight of the spring is almost insignificant at higher weight. The proportion of the mass to the spring is so great that it has almost no effect on the calculation. Conclusion During part one of the experiment, the vertical displacement of a spring was measured as a function of force applied to it.

The starting position of the spring was recorded using a stretch indicator. Mass was added to the spring, and the displacement was recorded. This was repeated with various amounts of mass.

From these data, a graph of force versus displacement was plotted, and a linear fit slope revealed the spring constant. In this endeavor, the spring constant was valued at 3. 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.

Because such small masses were used, any error in displacement readings was augmented. The spring used may also not have been perfect. During part two of the experiment, the period of the spring was measured as amplitude changed while mass remained constant. The period remained nearly the same throughout every trial, which was to be expected. Any differences in period may be accounted to inadequate stopwatch usage and inaccurate starting displacements throughout the trials.

It should be noted that at amplitude of 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.

The resulted graph of period versus amplitude yielded a linear fit slope of close to 0 During part three of the experiment, the period of the spring was measured as mass was varied while amplitude remained constant.

As the mass was increased, the period also increased. This was not surprising considering the given equations. The square of the period versus mass for each trial was plotted and a linear fit was taken. The calculated value of k was 3. The value of C was determined to be 0. Any error during parts two and three can be attributed to inaccurate stopwatch recordings and slight variance in displacement and release of the masses at each amplitude.Name(s)_____ HOOKE’S LAW and SIMPLE HARMONIC MOTION INTRODUCTION Any motion that repeats itself in equal intervals of time is called periodic motion.

A special form of periodic motion is called Simple Harmonic Motion (SHM). Part II - Simple Harmonic Motion In this part of the experiment you will verify if the period depends on the amplitude; calculate the resonance frequency and spring constant of a system.

You will record the collected data in the Lab 8 Worksheet. Hooke’s Law and Simple Harmonic Motion. PHY – General Physics Lab II Download. Purpose. To determine the spring constant of a spring by measuring its stretch versus applied force, to determine the spring constant of a spring by measuring the period of oscillation for different masses, and also to investigate the dependence.

Hooke's Law and Simple Harmonic Motion Students will graphically determine the spring constant k using their knowledge of Newton's Laws of Motion and Hooke's Law and by determining the period of a weight on a spring undergoing simple harmonic motion.

Like Newton's first law of motion, Einstein's theory states that if a force is applied on an object, it would deviate from a geodesic. For instance, we are no longer following geodesics while standing because the mechanical resistance of the Earth exerts an upward force .

Newton's laws of motion, together with his law of universal gravitation and the mathematical techniques of calculus, provided for the first time a unified quantitative explanation for a .

Hooke's Law and Simple Harmonic Motion | Protocol