Question

In unit-vector notation, what is the torque about the origin on a jar of jalapeno peppers located at coordinates (3.0i m, -2.0j m, 4.0k m) due to force   = (3.5 N)i - (9.1 N)j + (9.0 N)k ((a), (b) and (c) for   ,   and   components respectively), force   = (-3.5 N)i - (9.1 N)j - (9.0 N)k ((d), (e) and (f) for   ,   and   components respectively), and the vector sum of   and   ((g), (h) and (i) for   ,   and   components respectively)? Repeat previous part for the torque about the point with coordinates (3.0i m, 2.0j m, 4.0k m) ((j), (k) and (l) for   ,   and   components respectively).

Answer 1

(a)

we know

i ( -18 + 36.4) - j ( 27 - 14) + k ( -27.3 + 7)

18.4 i - 13 j - 20.3 k

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b)

54.4 i + 13 j - 34.3 k

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c)

vector sum F1 + F2 = 0 i -18.2 j - 0 k

so,

72.8 i + 0 j - 54.6 k

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d)

0 N.m