consider two asymptotic behaviors, what will happen if the two masses are equal to each other, that is, m1=m2?

Question

As a second matter of interest, what if one of the masses is much larger than the other: m1 >> m2?

in regards to an atwood's machine. i don't understand what i'm supposed to do here...

Answer 1

The acceleration of the masses in an Atwood's machine is
a = g*(m1-m2)/(m1+ m2)

As m1 -> m2' , a approaches zero.
If m2 >> m1, a --> g