8. A spring of 21 cm length reaches 30.8 cm after hanging a mass of 1/4 kilogram on it. The medium through which the mass moves provides a damping force equal to three times the instantaneous velocity. Find the equation of motion if the mass is released from the equilibrium position with a downward velocity of 2 m/s. Calculate the time at which the mass reaches its extreme displacement, and what is the position of the mass at that moment? (Use 9 = 9.8 m/s²) Sol

Elements Of Electromagnetics
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8. A spring of 21 cm length reaches 30.8 cm after hanging a mass of 1/4 kilogram on it. The medium through which
the mass moves provides a damping force equal to three times the instantaneous velocity. Find the equation of
motion if the mass is released from the equilibrium position with a downward velocity of 2 m/s. Calculate the time
at which the mass reaches its extreme displacement, and what is the position of the mass at that moment? (Use
g = 9.8 m/s²)
Sol.
Transcribed Image Text:8. A spring of 21 cm length reaches 30.8 cm after hanging a mass of 1/4 kilogram on it. The medium through which the mass moves provides a damping force equal to three times the instantaneous velocity. Find the equation of motion if the mass is released from the equilibrium position with a downward velocity of 2 m/s. Calculate the time at which the mass reaches its extreme displacement, and what is the position of the mass at that moment? (Use g = 9.8 m/s²) Sol.
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