The pipe assembly is subjected to the 80N force Determine th

The pipe assembly is subjected to the 80-N force. Determine the moment of this force about point A.

Here, position vector and force vector are -

r(BC) = [(0.55 - 0)i + (0.4 - 0.4)j + (-0.2 - 0)k] m

= [0.55i - 0.2k] m

Further, F = 80[( cos30 * sine 40)i + (cos 30 * cos40)j - sine 30 k] N

= [44.53i + 53.07j - 40.0k] N

Now, moment of force F about the point B is -

M(B) = r(BC) x F = determinant[ i j k ]

0.55 0 -0.2

44.53 53.07 -40.0

Solving this we have,

M(B) = [10.6i + 13.1j + 29.2k] N.m