Physics-
General
Easy

Question

The displacement of a particle from its mean position (in metre) is given by y equals 0.2 sin invisible function application left parenthesis 10 pi t plus 1.5 pi right parenthesis cos invisible function application left parenthesis 10 pi t plus 1.5 pi right parenthesis. The motion of particle is

  1. Periodic but not S.H.M.    
  2. Non-periodic    
  3. Simple harmonic motion with period 0.1 s    
  4. Simple harmonic motion with period 0.2 s    

The correct answer is: Simple harmonic motion with period 0.1 s


    cos invisible function application left parenthesis 10 pi t plus 1.5 pi right parenthesis
    equals 0.1 sin invisible function application 2 left parenthesis 10 pi t plus 1.5 pi right parenthesis blank left square bracket because   sin invisible function application 2 A equals 2 sin invisible function application A cos invisible function application A right square bracket
    equals 0.1 sin invisible function application left parenthesis 20 pi t plus 3.0 pi right parenthesis
    \Time period, T equals fraction numerator 2 pi over denominator omega end fraction equals fraction numerator 2 pi over denominator 20 pi end fraction equals fraction numerator 1 over denominator 10 end fraction equals 0.1sec

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