Problem 1
An ideal Atwood machine has masses and hanging on opposite sides of a light inextensible string over a frictionless, massless pulley; take as the gravitational acceleration and assume the system is released from rest. The heavier mass moves downward, with both masses having the same acceleration magnitude because the string length is fixed. (a) Find the acceleration. (b) Find the string tension. (c) Find the speed after the heavier mass has descended a distance .
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Finally substitute the given values and check units and limiting behavior. The result agrees with the signs and scale implied by the model and previous parts.