Calculate Torque Vector for Force F at r - Dot Product

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SUMMARY

The discussion focuses on calculating the torque vector resulting from a force vector F = 3i + 0.5j - 5k (N) applied at a position vector r = 2i + 4k (m). The torque vector is determined using the cross product formula, defined as τ = r × F. Participants emphasize the necessity of understanding the cross product computation to solve the problem effectively.

PREREQUISITES
  • Vector algebra, specifically cross product computation
  • Understanding of force and torque concepts in physics
  • Familiarity with vector notation and operations
  • Basic knowledge of Newton's laws of motion
NEXT STEPS
  • Study the properties and applications of the cross product in physics
  • Learn about torque in rotational dynamics and its implications
  • Explore vector calculus to enhance understanding of vector operations
  • Practice solving problems involving forces and torques in various contexts
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the application of vector mathematics in real-world scenarios.

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Homework Statement


A force F=3i ̂+0.5j ̂-5k ̂(N)is applied to a partial located at r=2i ̂+4k ̂(m)
Determine the torque vector?



Homework Equations





The Attempt at a Solution

 
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Torque is defined as r cross F. Do you know how to compute a cross product?
 

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