Part B - Moment due to a force specified as a Cartesian vector
As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B.
The force is given by F = 120 Ni - 125 Nj + 80 N k. The dimensions are z₁ = 1.35 m,
y₁ = 1.90 m, and z₁ = 1.15 m.
What is the moment about the origin due to the applied force F?
Express the individual components of the Cartesian vector to three significant figures,
separated by commas.
You did not open hints for this part.
ANSWER:
Mo =[
i, j, k] N.m
Part C - Moment due to two forces
As shown, a member is fixed at the origin, point O, and has two applied forces, F₁ and F₂, applied at the free end, point B.
The forces are given by F₁ = 105 Ni - 110 Nj + 55 Nk and F₂ has magnitude 175 N
and direction angles α = 149.0°, β = 70.0°, and γ = 67.4°. The dimensions are
z₁ = 1.30 m, y₁ = 1.85 m, and z₁ = 1.10 m.
What is the moment about the origin due to the applied forces?
Express the individual components of the Cartesian vector to three significant figures,
separated by commas.
You did not open hints for this part.
ANSWER:
Mo =[
i, j, k N.m
