a) The acceleration of the objects is
b) The tension in the string is 280.8 N
Explanation:
a)
We start by writing the equations of motion for the two masses attached to the pulley.
For the heavier mass, we have:
(1)
where
is the mass
is the acceleration of gravity
T is the tension in the string
a is the acceleration of the system (here we assumed that the heavier mass accelerates downward)
For the lighter mass, we have
(2)
where
T is the tension in the string
is the mass
is the acceleration of gravity
a is the acceleration of the system (here we assumed that the lighter mass accelerates upward)
From (1) we get
And substituting into (2),
b)
From the previous part of the problem we got an expression for the tension in the string:
Where we have
is the acceleration, found in part a)
Susbtituting, we find
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