How Do You Calculate Acceleration and Tension in a Two-Crate Pulley System?

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SUMMARY

The discussion focuses on calculating the acceleration and tension in a two-crate pulley system involving masses m1 = 10.0 kg and m2 = 4.50 kg, with the latter positioned on a 39.0° incline. The acceleration of the 4.50 kg crate can be derived using Newton's second law, while the tension in the string can be determined by analyzing the forces acting on both crates. The frictionless nature of the pulley and the smooth incline are critical assumptions that simplify the calculations.

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  • Understanding of Newton's second law of motion
  • Basic knowledge of inclined plane physics
  • Familiarity with tension in strings and pulleys
  • Ability to perform vector resolution of forces
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SailorMoon14
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Two packing crates of masses m1 = 10.0 kg and m2 = 4.50 kg are connected by a light string that passes over a frictionless pulley as in the figure. The 4.50 kg crate lies on a smooth incline of angle 39.0°.

a) Find the acceleration of the 4.50 kg crate.

b) Find the tension in the string.

See the figure at this link: http://www.webassign.net/sf/p4_26alt.gif

I appreciate any input anyone can give me :wink:
 
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What are the forces acting on each crate?
The sum of the forces is the product mass x acceleration.
 

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