Question

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Moment of a Force-Vector Formulation 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 veotor cross product, Mo x F. n a properly constructed Cartesian coordinate system he vector cross product can be calculated using a matrix determinant: he elements of the m x d minant is import oe that the o switching rows 2 and 3 of the determinant would change the sign of the moment from positive to negative (or vice versa.) Figure of 3 Part A- Moment due to a force specified by magnitude and endpoints 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 foroe has magnitude P 140 N and is directed as shown. The dimensions are 0.450 m, 202 1.00 m. yi all zi 10 m 2.20 m, and 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. Submit Hints My Answers Give Up Review Part 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 30N 35 N +50 N k. The dimensions are 25 m. 90 m, and 2 1.15 m What is the moment about he origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. Submit Hints My Answers Give Up Review Part Part C Moment due to two forces As shown. a member is fixed at the origin. point O. and has two applied forces. F and F applied at the free end, point B The forces are given by F 05 N 110 45 Nk and F2 has magnitude 175 N and direction angles a 144.00. B 85.0o. and Y-54 ON

Answer 1

e Coo9tdi nate ae 0 (o10, 0 til Vecfa Вс Use Pa 19. -2-20 J-Moe 9-6 4 1-21 91-2, 2 o J-1-10 3 162 o)k mob (o.utei 2 Io )

793 (0)-S (-115-15) +とト232.60

Pant B 0 eto,0, o 드11-25 1.90 1.15 13 o -135 60