Answer Happy

Learning Goal: To use the vector cross product to calculate the moment produced by a force, or forces, about a specified point on a member. The moment of a force F about the moment axis passing through O and perpendicular to the plane containing O and F can be expressed using the vector cross product, Morx F. In a properly constructed Cartesian coordinate system, the vector cross product can be calculated using a matrix determinant i j k T₂ F. F F. Notice that the order of the elements of the matrix determinant Figure M=rxFr. Ty 1 of 3 Y Review 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. (Figure 1) The force has magnitude F-150 N and is directed as shown. The dimensions are ₁ = 0.250 m, z₂ = 1.90 m. y = 2.20 m, and 21 = 1,30 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. ▸ View Available Hint(s) Submit vec Mo 199.175,-3.075,134.86 Η ΑΣΦΗ P Pearson Previous Answers X Incorrect; Try Again; 2 attempts remaining Part B - Moment due to a force specified as a Cartesian vector ? i, j, k
To use the vector cross product to calculate the moment produced by a force, or forces, about a specified point on a member. The moment of a force F about the moment axis passing through O and perpendicular to the plane containing O and F can be expressed using the vector cross product, Morx F. In a properly constructed Cartesian coordinate system, the vector cross product can be calculated using a matrix determinant: I J k Figure M=rxFT. Ty T F. F, F. Notice that the order of the elements of the matrix determinant 2 of 3 Part - Moment que to a torce specimed 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. (Figure 2) The force is given by F-120 Ni-125 NJ+80 N k. The dimensions are ₁1.35 m, 1.80 m, and 21.05 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. View Available Hint(s) Mo = Submit IVE ΑΣΦ. 11 Demon Review vec Part C-Moment due to two forces ? i, j, k
The moment of a force F about the moment axis passing through O and perpendicular to the plane containing O and F can be expressed using the vector cross product, MorxF. In a properly constructed Cartesian coordinate system, the vector cross product can be calculated using a matrix determinant: ijk M=rxF=r, Ty T F, F, F Notice that the order of the elements of the matrixdeterminant Figure 3 of 3 As shown, a member is fixed at the origin, point O, and has two applied forces F and F₂, applied at the free end, point B. (Figure 3) The forces are given by F₁ = 115 Ni-110 Nj+75 Nk and F₂ has magnitude 165 N and direction angles a = 150.0,8-63.0", and y=77.9 The dimensions are 21.30 m. y₁=1.85 m, and 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. View Available Hint(s) Mo Submit Provide Feedback P Pearson IVE ΑΣΦ | 11 vec ? i, j, k Next >>