July 15th, 2015, 12:34 PM  #1 
Newbie Joined: Jul 2015 From: Singapore Posts: 3 Thanks: 0  Maximum value
Find the maximum displacement of the oscillation x=2cos(wt) +cos[wt(π /6)] 
July 15th, 2015, 01:46 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,665 Thanks: 651 
Use elementary calculus to get: let $\displaystyle c=\frac{\pi}{6}$ 0=2sin(wt)+sin(wtc)=2sin(wt)+sin(wt)cos(c)cos(wt)sin(c) Let s=sin(wt) $\displaystyle s(2+cos(c))=\sqrt{1s^2}sin(c)$ I'll let you finish  square both sides, solve for $\displaystyle s^2$, etc. 
July 15th, 2015, 01:46 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,561 Thanks: 2562 Math Focus: Mainly analysis and algebra 
I think you should start by using $$\cos(A+B) = \cos A \cos B  \sin A \sin B$$ on the second term.


Tags 
amplitude, maximum 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Difference Between Maximum/Minimum Value and Maximum/Minimum Turning Point  Monox D. IFly  PreCalculus  4  October 13th, 2014 06:58 AM 
A = Maximum(AB, AC, CB)  servant119b  Algebra  2  June 7th, 2012 03:27 PM 
Maximum value  stuart clark  Algebra  5  March 11th, 2011 08:10 PM 
Maximum value  thaithuan_GC  Elementary Math  7  July 23rd, 2009 03:14 PM 
A = Maximum(AB, AC, CB)  servant119b  Calculus  1  December 31st, 1969 04:00 PM 