Question

In unit-vector notation, what is the torque about the origin on a jar of jalapeno peppers located at coordinates (3.0 m, -2.0 m, 4.0 m) due to force Upper F Overscript right-arrow EndScripts Subscript 1 = (4.7 N) i Overscript ̂ EndScripts - (4.8 N) j Overscript ̂ EndScripts + (4.9 N) k Overscript ̂ EndScripts ((a), (b) and (c) for i Overscript ̂ EndScripts , j Overscript ̂ EndScripts and k Overscript ̂ EndScripts components respectively), force Upper F Overscript right-arrow EndScripts Subscript 2 = (-4.7 N) i Overscript ̂ EndScripts - (4.8 N) j Overscript ̂ EndScripts - (4.9 N) k Overscript ̂ EndScripts ((d), (e) and (f) for i Overscript ̂ EndScripts , j Overscript ̂ EndScripts and k Overscript ̂ EndScripts components respectively), and the vector sum of Upper F Overscript right-arrow EndScripts Subscript 1 and Upper F Overscript right-arrow EndScripts Subscript 2 ((g), (h) and (i) for i Overscript ̂ EndScripts , j Overscript ̂ EndScripts and k Overscript ̂ EndScripts components respectively)? Repeat previous part for the torque about the point with coordinates (3.0 m, 2.0 m, 4.0 m) ((j), (k) and (l) for i Overscript ̂ EndScripts , j Overscript ̂ EndScripts and k Overscript ̂ EndScripts components respectively).

Answer 1

Take cross product of the given forces to the position vector.i have done cross product with all the forces ..