Findin buckets' tension when there are two strings n two buckets

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The discussion focuses on calculating the tension in two cords supporting two 3.1 kg paint buckets, both at rest and under upward acceleration of 1.9 m/s². Participants emphasize the importance of drawing free body diagrams for each bucket to visualize the forces acting on them, including tension and gravity. The net force is not zero due to the upward acceleration, which must be factored into the calculations. The challenge lies in eliminating one variable to solve for the tensions in the cords. Understanding the relationship between the forces and the acceleration is crucial for finding the correct tension values.
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1. problem
one 3.1 kg paint bucket is hangin by a massless cord from another 3.1 kg paint bucket, also hanging by a massless cord. if the buckets are at rest, what is the tension in each cord? If the two buckets are pulled upwards with an acceleration of 1.9 m/s^2 by the upper cord, calculate the tention in each cord.



Homework Equations


Newtons second equation of motion


The Attempt at a Solution


draw a free body diagram , tension and gravity acts on both buckets but the upper bucket has two tensions from the upper string and the lower string,
how do u get rid of one variable?
 
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Again, I suggest drawing a free body diagram for EACH object. The free body diagrams are linked by tension. In this case, the net force on each object is not zero... since there is acceleration, so you have to include that when you use the free body diagram to solve for values of force.
 

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