Boxes hanging attached to box on shelf

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The problem involves a system of three boxes with two hanging and one on a shelf, requiring the calculation of tension in the strings and the acceleration of each box. The equations of motion are based on Newton's second law, with the tension force and gravitational force being key components. The user expresses uncertainty about the setup, particularly regarding the role of pulleys and the need for diagrams to clarify the situation. Analyzing the forces acting on each mass is essential for solving the problem. Understanding the dynamics of the system will lead to the correct calculations for tension and acceleration.
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Homework Statement


A box of mass m2 = 3.5kg rests on a frictionless horizontal shelf and is attached by strings to boxes of masses m1 = 1.5 kg and m3 = 2.5kg, which hang freely as shown in the figure. The system is initially at rest. After it is released, find A) the tension in each string and B) the acceleration of each box

Homework Equations


Ft = m2a
a = m1g / (m1+m2)

The Attempt at a Solution



Not very sure how to proceed, never done a problem with masses hanging on both sides
 
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Presumably the strings pass over pulleys? (Diagrams are always helpful.)

Analyze the forces on each mass and apply Newton's 2nd law.
 

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