Newton's Laws with a Pulley, with tension, Force

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SUMMARY

The forum discussion centers on calculating the tension in a connecting string in a frictionless pulley system involving two blocks, one weighing 1.0 kg and another weighing 2.0 kg, with an applied force of 8.0 N. The key equations used are Newton's second law, F=ma, and the need to resolve the weight of the 1.0 kg block into components along the incline. The user struggled with the trigonometric calculations necessary to find the weight component acting parallel to the incline, indicating a need for clarity in geometry and trigonometric functions.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Basic knowledge of trigonometry, specifically sine and cosine functions
  • Familiarity with pulley systems and tension in strings
  • Ability to resolve forces into components
NEXT STEPS
  • Study the resolution of forces in inclined planes
  • Learn about tension in pulley systems with multiple masses
  • Review trigonometric identities and their applications in physics
  • Practice problems involving Newton's Laws and frictionless surfaces
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of tension calculations in pulley systems.

mandragora
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Homework Statement


If F = 8.0 N and M = 1.0 kg, what is the tension in the connecting string? The pulley and all surfaces are frictionless.
16aznmv.jpg



Homework Equations


F=ma


The Attempt at a Solution


8-T=2a (2kg block)
T - 1cos10? = 1a (for the 1kg block. I got stuck here, the angle threw me off)

Thanks!
 
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mandragora said:

Homework Statement


If F = 8.0 N and M = 1.0 kg, what is the tension in the connecting string? The pulley and all surfaces are frictionless.
16aznmv.jpg



Homework Equations


F=ma


The Attempt at a Solution


8-T=2a (2kg block)
this is good
T - 1cos10? = 1a (for the 1kg block. I got stuck here, the angle threw me off)

Thanks!
You must first convert mass to weight, and calculate the weight force component acting down the plane (the weight acts straight down, and you can find its components parallel to and perpendicular to the incline). Your trig function is incorrect,,,you will have to do a little geometry to calculate the weight component acting parallel to the plane.
 

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