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Oscillations

Summary of the results


 
spring
pendulum
   

equation
 

  d2u/dt2 = - (Cel/m) u  
 

  d2α/dt2 = - (g/) α  
 

solution
 

u(t) = A sin(ωt)
 

α(t) = αmax sin(ωt)
 
angular
frequency
ω = √(Cel/m)
ω = √(g/)
depends
on mass
yes
no
depends
on amplitude
no
no
depends
on gravity
no
yes