January 8th, 2017, 02:15 PM  #1 
Newbie Joined: Jan 2017 From: brussels Posts: 21 Thanks: 0  simple harmonic motion
I have been given some questions on simple harmonic motion and i have found some relevant formulas i am just unsure as to what they represent and how to use them the question is: An object moving with simple harmonic motion has a frequency of 5Hz with an amplitude of 100mm determine:  Maximum velocity  The velocity 50mm from the equilibrium position  The maximum acceleration  The acceleration 50mm from the equilibrium position  The time taken to move from the extremity of the oscillation to a distance of 50mm from the equilibrium position 
January 8th, 2017, 04:21 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,656 Thanks: 1327 
Do these resemble your "relevant" equations? assuming the object exhibiting SHM starts at maximum displacement at $t=0$ ... $\omega = 2\pi \cdot f$ position ... $x(t) = A\cos(\omega t) \implies x_{max}=A$ velocity ... $v(t) = x'(t) = A\omega\sin(\omega t) \implies v_{max} =A\omega$ acceleration ... $a(t) = v'(t) = x''(t) = A\omega^2 \cos(\omega t) \implies a_{max}=A\omega^2$ see what questions you can work out ... 

Tags 
harmonic, motion, simple 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Simple harmonic motion damping Laplace transform help!  doctordino  Differential Equations  1  February 1st, 2016 12:45 PM 
Simple Harmonic Motion  evaeva  Calculus  1  May 20th, 2014 02:39 AM 
Question on simple harmonic motion  Chikis  Physics  1  June 26th, 2013 10:21 PM 
In simple harmonic motion the accleration of the body is ma  rsoy  Physics  2  June 5th, 2012 12:26 PM 
Simple Harmonic Motion problem  shalikadm  Physics  1  May 28th, 2012 06:33 PM 