Quick question! Sign of acceleration
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Quick question! Sign of acceleration

[From: ] [author: ] [Date: 12-05-11] [Hit: ]
Thanks,Chris-The weight of an object is always directed downward.I say the direction of the initial motion is positive.When the external agent pulls the string, the object moves upward, so upward motion is positive.......
In a pulley system, with one end attached to an object of mass M and the other end being held by an external agent. When the external agent pulls the string, the object moves upward.

I am confused whether the acceleration of the object will have a negative or positive sign?

Thanks,
Chris

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The weight of an object is always directed downward.

I say the direction of the initial motion is positive. When the external agent pulls the string, the object moves upward, so upward motion is positive. The object has 2 forces, tension up and weight down.

Tension is positive and weight is negative.
Net force = Tension – Weight = mass * acceleration
Acceleration = Net force ÷ mass

Since the object moves upward, the tension must be greater than the weight. So the net force is positive. So, the acceleration is positive.
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