Simple Harmonic Lab

Stony Brook University Department of Physics and Astronomy PHY 133 L08 Simple Harmonic Motion Jake Stearns Lab partner: Robert Kulesza, Ahmed Abbasi TA: Mathieu Boisvert Experiment Date: 12 April 2023 Report Date: 19 April 2023

Introduction The purpose of this lab is to use a spring system of two springs connected on either side of a cart on a nearly frictionless surface while a pully with hanging weight on one side to find the spring constant, and prove the conservation of energy. To do this we have to find different variables like mass, tension, and position at different points in time. Data

Max Velocity: ● 0.03/0.03736 = 0.8029978578 Spring Constant k: ● ● = 6.668651622 ● Uncertainty: =(( 4 * 3.141592654 )^ 2 )/( 5.92 )*SQRT(( 0.0546504 / 5.92 )^ 2 ) = 0.2462 Kinetic Energy: ● ½mv^2 ● = 0.11168 ● Uncertianty: =( 0.5 * 0.3464 * 0.8029978578 ^ 2 )*SQRT(( 0.001019803 / 0.03464 )*( 0.1466 / 0. 8029978578 )) Potential Energy: ● Mgx ● (0.3464)(9.81)(0.015) = 0.05097 ● Uncertainty: 0.05097*SQRT (( 0.00101 / 0.3464 )*( 0.0001 / 0.03 ))

Results In the end our measurement of k agreed with part one to uncertainty, but our calculations showed that energy was not conserved although it was mean to be. 3

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