A force FAB acts within the cable connecting points A and B as shown in the figu

Question

A force FAB acts within the cable connecting points A and B as shown in the figure below. This force FAB has a magnitude of 600 N.

1. Write the force FAB in terms of the i, j, and k unit vectors. (Cartesian vector).

2. Calculate the moment vector created by this force at point O and write this moment as a Cartesian vector.

A force FAB acts within the cable connecting points A and B as shown in the figure below. This force FAB has a magnitude of 600 N. Write the force FAB in terms of the i, j, and k unit vectors. (Cartesian vector). Calculate the moment vector created by this force at point O and write this moment as a Cartesian vector.

Explanation / Answer

A(0,1,5) B(3,2,0)

AB=(0-3)i+(2-1)j+(0-5)k

FAB=600(-3i+j-5k) N

Moment about O =OA(CROSS)AB

=(j+5k)(cross)600(-3i+j-5k)

=600(3k-5i-15j-5i)

=600(-10i-15j+3k) Nm

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