## Physics (10th Edition)

$I=1.25kg.m^2$
We have $$\sum\tau=I\alpha$$ $$I=\frac{\sum\tau}{\alpha}$$ The net torque $\sum\tau=10N.m$, and the vase's angular acceleration $\alpha=8rad/s^2$. The total moment of inertia is $$I=1.25kg.m^2$$