Is this equation valid for a given mechanical system
The Inertia of the motor is $J_m$,there is no loss in the system.then conservation of energy can be used.
the motor is revolving with speed $\omega$.and the gears ratio are equal. $v $ is the velocity of the weight $w$
I am asking that the can the total InertIa can be expressed as $$\frac{1}{2}J'_m\omega^2=\frac{1}{2}J_m\omega^2+\frac{1}{2}mv^2$$.
equivalent moment of inertia referred to the motor shaft is $J'_m$.
This was told by my teacher I think there is something wrong here. I am skeptical about this because we can't talk about adding the both terms and referring them to as total inertia referred to motor shaft.BOOK SOLUTION
What you might be saying is