Homework Answers
Atwood machine is one in which there are two masses connected by a massless string tied around a pulley.
For the heavy mass,
Mg - T = Ma
where a = downward acceleration of the mass M and T = upward tension in the string
for the lighter mass,
T - mg = ma
here, the downward acceleration of M = upward acceleration of m since the string is assumed to be taut.
substitute the 1st equation for tension in the 2nd to get:
Mg - Ma - mg = ma
=> 
this is the acceleration of both the masses.
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