Physics-
General
Easy

Question

A man weighing 60 kg stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude 0.1 m and frequency fraction numerator 2 over denominator pi end fraction H z. Which of the following statement is correct

  1. The spring balance reads the weight of man as 60 kg    
  2. The spring balance reading fluctuates between 60 kg. and 70 kg    
  3. The spring balance reading fluctuates between 50 kg and 60 kg    
  4. The spring balance reading fluctuates between 50 kg and 70 kg    

The correct answer is: The spring balance reading fluctuates between 50 kg and 70 kg


    The maximum force acting on the body executing simple harmonic motion is
    m omega to the power of 2 end exponent a equals m cross times left parenthesis 2 pi f right parenthesis to the power of 2 end exponent a equals 60 cross times open parentheses 2 pi cross times fraction numerator 2 over denominator pi end fraction close parentheses to the power of 2 end exponent cross times 0.1N
    equals 60 cross times 16 cross times 0.1 equals 96 N equals fraction numerator 96 over denominator 9.8 end fraction almost equal to 10 k g f and this force is towards mean position.

    The reaction of the force on the platform away from the mean position. It reduces the weight of man on upper extreme i.e. net weight = (60 – 10) kgf.
    This force adds to the weight at lower extreme position i.e. net weight becomes = (60 + 10) kgf.
    Therefore, the reading the weight recorded by spring balance fluctuates between 50 kgf and 70 kgf.

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