Answer
given,
mass of the boiled egg = 50 g = 0.05 Kg
spring constant, k = 25 N/m
initial Amplitude, A₁ = 0.3 m
final amplitude, A₂ = 0.1 m
time, t = 5 s
considering the amplitude of damped harmonic oscillation to calculate damping factor.
[tex]A_2 = A_1 e^{-(\dfrac{b}{2m})t}[/tex]
b is the damping factor and t is the time.
[tex]e^{-(\dfrac{b}{2m})t}=\dfrac{A_2}{A_1}[/tex]
on solving
[tex]b= \dfrac{2m}{t}ln(\dfrac{A_1}{A_2})[/tex]
inserting all the given values
[tex]b= \dfrac{2\times 0.05}{5}ln(\dfrac{0.3}{0.1})[/tex]
b = 0.0219 Kg/s
damping coefficient in three significant figure
b = 0.022 Kg/s
