Calculate Torque: Vector Products Homework

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SUMMARY

The discussion focuses on calculating torque using the vector product in a physics homework scenario. The force applied is (8.7 N)i - (4.2 N)k, and the position vector is (3.7 m)j - (6.5 m)k. The user successfully calculated the torque about the origin but struggled with the torque about the point (5.0 m, 0, -1.7 m). The correct approach involves using the cross product formula, torque = r x F, where r is the moment arm relative to the specified point.

PREREQUISITES
  • Understanding of vector mathematics, specifically cross products
  • Familiarity with torque calculations in physics
  • Knowledge of position vectors and their representation
  • Basic grasp of Newton's laws of motion
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  • Review the concept of the cross product in vector mathematics
  • Practice torque calculations using different position vectors
  • Learn about the significance of the moment arm in torque
  • Explore the implications of changing the reference point for torque calculations
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Students studying physics, particularly those focusing on mechanics and torque calculations, as well as educators looking for examples of vector product applications in real-world scenarios.

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Homework Statement


Force = (8.7 N) - (4.2 N) acts on a pebble with position vector = (3.7 m) - (6.5 m), relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (5.0 m, 0, -1.7 m)?


Homework Equations


The cross product torque=rxf
r'=r-d


The Attempt at a Solution


I got part (a) correct, however I cannot get part (b) correct, I've done it about 5 times and it is completely wrong, my answers are: 0i + 6.21j + 0k. Can anyone tell me what I'm doing wrong?
 
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How did one do the first part?

I'm a bit confused as to the position vector (3.7 m) - (6.5 m) and the pebble location. Is the pebble at the origin and the position vector is the moment arm of the force?
 
Force is Force = (8.7 N)i - (4.2 N)k and position vector = (3.7 m)j - (6.5 m)k, which is relative to the origin
 

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