Analyze the figure $($based on problem $9\mathrm{.}1$ page $169$ and problem $4$ page $144.)$ in order to derive the expression for the calculation of

the Period of oscillation for about axes $xx,YY$ and ZZ $.$ The following expression was developed for the Period of oscillation of a

compound pendulum:

$T=2\sqrt[\phantom{2}]{\frac{k^2+{}^2}{hg}}orT=2\sqrt[\phantom{2}]{\frac{t_m}{mh}}$

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Apply derived expressions for $x_1=80mm,x_2=210mm,y_1=300mm,y_2=240mm$ and $=14.mmm$ and calculate:

The total mass of the body : mass $=$

kg

The distance between the center of gravity and $-as$:$h_y=$

$mm$

The miment of tinertia $f_{xa}{I}_{}=$

$kg{m}^2$

The radius of gyration $k_{}$:$k_{}=$

$m{m}^2$

The penod of oscilation about $-as$:$T_{nx}=$