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1.Consider a simple pendulum. The period …

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1.Consider a simple pendulum. The period of oscillation of The simple pendulum depends on it's length and acceleration due to gravity. Derive the expression for period of oscillation by method of dimensions. (5 Points)
  • 1 answers

Gaurav Seth 4 years, 8 months ago

Let Time period =T
      Mass of the bob = m
      Acceleration due to gravity = g
     Length of string = L

Let 
      
      
      
      ⇒a=0 ⇒ Time period of oscillation is independent of mass of the bob
     
      -2b=1
      ⇒b=-
      
      b+c = 0
      - + c =0
      c=
      
Giving values to a,b and c in first equation
      
      

The real expression for Time period is
      

 

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