Math Problem Statement
Force vector F = (6.31 N) î - (8.56 N) k̂ acts on a pebble with position vector r = (5.39 m) ĵ - (1.62 m) k̂ relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (1.07 m, 0, -1.82 m)?
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Calculus
Torque Calculation
Cross Product in 3D
Formulas
Torque (τ) = r × F
Cross product of vectors
Theorems
Vector Cross Product Theorem
Suitable Grade Level
College Level