Loading [MathJax]/jax/output/CommonHTML/jax.js

Lecture 3 [24 March, 2020] PHY 115

PHY 115 

Wave and Oscillation




    ♦ Simple Pendulum:


    ♦ Compound Pendulum: any shape rigid body...
  

    ♦ Differential Equation for Simple Harmonic Motion:

  (1) Force along the string =  Mgcosθ
    (2) Force perpendiculer to the string = Mgsinθ
The component Mgcosθ balance the tension.

  T=Mgcosθ  
The Force active on the oscillating particle is,
  F=Mgcosθwhen,θ0,  the sinθ=θF=Mgθ   
We know,  F=ma  
The linear displacement,  y=lθdydt= dθdtd2ydt2=a= d2θdt2  
Comparing equation (1) and (2),
  F=Mld2θdt2  
Now using equation (1) 
  Mld2θdt2=Mgθd2θdt2+glθ=0  
comparing with differential equation of SHM,
  ω2=gl(2πT)2=glt=2πlg  

HW: Find out T for compound pendulum.

Post a Comment

Post a Comment (0)

Previous Post Next Post