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(D) The maximum acceleration of the platform executing simple harmonic motion is given by $a_{max} = \omega^2 A = (2\pi f)^2 A$.Substituting the given

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The spring balance reading fluctuates between $50\, kg$ and $70\, kg$.

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(D) The maximum acceleration of the platform executing simple harmonic motion is given by $a_{max} = \omega^2 A = (2\pi f)^2 A$.Substituting the given values,$a_{max} = (2\pi 	imes \frac{2}{\pi})^2 	imes 0.1 = (4)^2 	imes 0.1 = 16 	imes 0.1 = 1.6\, m/s^2$.The maximum pseudo-force acting on the man in the frame of the platform is $F_{max} = m \cdot a_{max} = 60\, kg 	imes 1.6\, m/s^2 = 96\, N$.Converting this force into equivalent mass units,$F_{max} = \frac{96\, N}{g} \approx \frac{96}{9.8} \approx 9.8\, kg \approx 10\, kg$.At the upper extreme position,the acceleration is downwards,so the normal force (reading of the balance) is $N = m(g - a_{max}) = 60 - 10 = 50\, kg$.At the lower extreme position,the acceleration is upwards,so the normal force (reading of the balance) is $N = m(g + a_{max}) = 60 + 10 = 70\, kg$.Therefore,the reading of the spring balance fluctuates between $50\, kg$ and $70\, kg$.

$A$ 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 $\frac{2}{\pi }\, Hz$. Which of the following statements is correct?

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