Tuesday, January 13, 2015

SHM Chapter 05 vertcal SHM practice 2

Example


https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM05/SHM05_Simulation.xhtml

A mass undergoes an oscillation where the maximum/minimum amplitude is 16.0 m mark and 2.0 m mark on a rule respectively. It was found that the particle only takes 3.14 s to move from X = 16.0 m to Y = 2.0 m during the oscillations as shown. Determine the   
(a)     amplitude,      
(b)     period,     
(c)     frequency,      
(d)     angular frequency, of the oscillations.
[ 7.0 m, 6.28 s, 0.166 Hz, 1.00 rad/s ]

Run Model:


https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM05/SHM05_Simulation.xhtml
Q1: run model with different mass m and spring constant k to explore different period T, frequency f and angular frequency ω.
Q2: setup your own initial conditions and test your understanding.