How Do You Solve for Acceleration and Tension in a Pulley System?

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SUMMARY

The discussion focuses on solving for acceleration and tension in a pulley system involving two masses, m1 and m2. The equations established are m1a = T and m2a = -T + m2g sin(45°). The participant questions the relevance of the normal force m2g cos(45°) and seeks clarification on the correct formulation of the second equation. The consensus is that the normal force is not critical unless friction is involved, confirming the validity of the established equations for this scenario.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of pulley systems and forces
  • Familiarity with trigonometric functions, specifically sine and cosine
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the principles of Newton's laws in detail
  • Learn about friction in pulley systems and its impact on tension
  • Explore advanced pulley systems with multiple masses
  • Review trigonometric identities and their applications in physics problems
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Students studying physics, particularly those focusing on mechanics and pulley systems, as well as educators seeking to clarify concepts related to forces and motion.

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Homework Statement



http://img69.imageshack.us/img69/2429/phyq1.jpg

Homework Equations


to find the acceleration of the 2 objects and the Tension Force.


The Attempt at a Solution



since only 1 pulley used, a=a1=a2, then
m1a=T (1)
m2a=-T+m2gsin45 (2)

i wonder what happen to the m2gcos 45?? and is the 2 equations right for my assumption? thanks
 
Last edited by a moderator:
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m2gcos45 is the normal force applied by m2, which isn't really important unless friction is considered (or unless it's so big that something breaks).
 
but is the 2 equations right? because i am still ponder over m2a=-T+m2gsin45 or m2a=T+m2gsin45 ?? really sad my basic wasnt good...
 

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