Circular Motion: Why Centripetal Accel Negative in i Dir & Positive in j Dir?

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SUMMARY

The discussion focuses on the behavior of centripetal acceleration in circular motion, specifically why it is negative in the i direction and positive in the j direction. Participants emphasize the importance of vector representation, suggesting that graphing the vectors can clarify their directions. The vector in question is represented as -i cos 35 + j sin 35, indicating its orientation in a Cartesian coordinate system. Understanding these vector components is crucial for accurately analyzing centripetal acceleration in physics.

PREREQUISITES
  • Understanding of circular motion principles
  • Familiarity with vector representation in Cartesian coordinates
  • Knowledge of trigonometric functions and their applications
  • Basic skills in graphing vectors
NEXT STEPS
  • Study the concept of centripetal acceleration in detail
  • Learn how to graph vectors in two-dimensional space
  • Explore the relationship between trigonometric functions and vector components
  • Investigate the effects of different angles on vector direction in circular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to explain vector analysis in this context.

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Homework Statement


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The Attempt at a Solution


Why the centripetal acceleration is negative in i direction and positive in j direction?
 

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haha1234 said:
Why the centripetal acceleration is negative in i direction and positive in j direction?
From B, which way does the vector -i cos 35 + j sin 35 point?
What direction would you expect the centripetal acceleration to be in?
 
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I recommend graphing the vector on your diagram, then graphing the vector alone. Plotting vectors always helps! Good luck.
 

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