Answer
(a) $25J$
(b) $28J$
(c) $52J$
Work Step by Step
(a) Work done about the X-axis is given as
$W=K_f$
$\implies W=\frac{1}{2}I_x\omega_x^2$
We plug in the known values to obtain:
$W=\frac{1}{2}(9.0)(2.35)$
$W=25J$
(b) Work done about the Y-axis is given as
$W=K_f$
$\implies W=\frac{1}{2}I_Y\omega_Y^2$
We plug in the known values to obtain:
$W=\frac{1}{2}(10)(2.35)$
$W=28J$
(c) Work done about the Z-axis is given as
$W=K_f$
$\implies W=\frac{1}{2}I_Z\omega_Z^2$
We plug in the known values to obtain:
$W=\frac{1}{2}(19)(2.35)$
$W=52J$
