Angular Momentum multiplication

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SUMMARY

The discussion focuses on calculating the angular momentum of an object about a specific point, location A, using the position vector A = < 7, 6, 0 > m and momentum p = < 20, 8, 0 > kg·m/s. Angular momentum is defined as the cross product of the position vector and momentum vector, expressed mathematically as L = r × p. Participants emphasize the importance of determining the perpendicular component of the position vector to the line of motion to accurately compute angular momentum.

PREREQUISITES
  • Understanding of vector mathematics, specifically cross products
  • Familiarity with the concepts of momentum and angular momentum
  • Knowledge of position vectors in three-dimensional space
  • Basic principles of physics related to motion and forces
NEXT STEPS
  • Study the mathematical properties of the cross product in vector calculus
  • Learn how to calculate angular momentum using L = r × p
  • Explore examples of angular momentum in different physical systems
  • Investigate the role of perpendicular components in vector calculations
USEFUL FOR

Physics students, educators, and professionals in mechanics who are looking to deepen their understanding of angular momentum and its calculations in three-dimensional motion.

cowmoo32
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At a particular instant the location of an object relative to location A is given by the vector A = < 7, 6, 0 > m. At this instant the momentum of the object is p = < 20, 8, 0 > kg · m/s. What is the angular momentum of the object about location A?

According to my book, angular momentum is found by multiplying r*p with r perpindicular from the location to the line of motion. how do I find r perpindicular?
 
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cowmoo32 said:
At a particular instant the location of an object relative to location A is given by the vector A = < 7, 6, 0 > m. At this instant the momentum of the object is p = < 20, 8, 0 > kg · m/s. What is the angular momentum of the object about location A?

According to my book, angular momentum is found by multiplying r*p with r perpindicular from the location to the line of motion. how do I find r perpindicular?
Does your book say anything about the cross product of two vectors and the definition of angular momentum in terms of a cross product?
 

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