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Georgia State University PHYSICS 1111 Simple Harmonic Motion

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Simple Harmonic Motion Name: Robert Brunet Learning Objectives: 1. Design an experiment to find an unknown quantity. 2. Use Hooke’s law to determine the spring constant of a spring. 3. Calculat ... e and measure the period for an oscillating mass and spring system. 4. Understand the dependence of period of a simple harmonic oscillator on the amplitude. Apparatus: Spring, metal stand and fixing bracket, mass hanger, set of weights, meter stick, stopwatch. Overview: In this experiment you will investigate simple harmonic motion for a spring and mass system. You will design an experiment to determine the spring constant of a given spring and use that to predict the period of oscillations. You will then measure the oscillation behavior of the spring and mass system. Part A: Finding the spring constant, k 1. The force exerted by a spring, Fsp , is always in a direction to restore the spring to its unstretched and uncompressed length. This is called a restoring force. An ideal spring is one where the magnitude of this spring force is directly proportional to how far the spring is stretched or compressed, d . This relationship is called Hooke’s Law and can be written as Fsp=kd . The constant, k , tells us the stiffness of the spring and is called the spring constant. We want to design an experiment to determine the spring constant k . A starting point may be to hang a mass from the spring as shown in the figure and to investigate the equilibrium of spring and mass system for this case. To develop your procedure, begin by drawing the free body diagram for the mass M. Then use the forces on your diagram to write down Newton’s Second Law in the vertical direction. Also write down’s Hooke’s Law for the force from a spring [Show More]

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