Box on a table connected by cable(dynamic)

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SUMMARY

The discussion centers on a physics problem involving two boxes connected by a cable over a frictionless pulley. The hanging box, with a mass of 10.0 kg, accelerates downward at 2.0 m/s². The net force equations for both boxes confirm that they share the same acceleration due to their connection via the cable. The equations used include F = ma, which is applied to both masses to derive the tension in the cable and the net forces acting on each box.

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  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of basic mechanics involving pulleys and tension
  • Familiarity with concepts of mass and acceleration
  • Ability to set up and solve equations for dynamic systems
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  • Study the principles of tension in connected systems
  • Learn about frictionless pulley systems in classical mechanics
  • Explore advanced applications of Newton's laws in multi-body dynamics
  • Investigate the effects of varying mass on acceleration in connected systems
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of dynamic systems involving pulleys and tension.

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Homework Statement


A box on a friction less table is connected by a cable to a second, hanging 10.0kg box. The cable has no mass, does not stretch and the pulley is friction less
.
m2 accelerates 2.0m/s/s downwards

Homework Equations


F= ma

The Attempt at a Solution


Fnet=m1a
T= M1a

Fnet=m2a
Fg-T = m2a

Is the acceleration for both equation the same, 2.0m/s/s?
 
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Yes. Two masses are connected by a single cable. Hence they mast have the same acceleration.
 

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