Answer:
0.62
Explanation:
A = Amplitude
f = Frequency = 1.85 Hz
[tex]\mu[/tex] = Coefficient of static
g = Acceleration due to gravity = 9.81 m/s²
Angular frequency
[tex]\omega=2\pi f\\\Rightarrow \omega=2\pi\times 1.85[/tex]
Maximum acceleration
[tex]a_{max}=A\omega^2\\\Rightarrow a_{max}=0.045\times (2\pi\times 1.85)^2[/tex]
[tex]a_{max}=\mu g\\\Rightarrow \mu=\frac{a_{max}}{g}\\\Rightarrow \mu=\frac{0.045\times (2\pi\times 1.85)^2}{9.81}\\\Rightarrow \mu=0.62[/tex]
Coefficient of static friction between penny and tabletop is 0.62
