Chapter 4, Problem 29P

3-37. The force F = {6i + 8j + 10k} N creates a moment about point o of Mo = {-14i + 8j + 2k} N•m. If the force passes through a point having an x coordinate of 1 m, determine the y and z coordinates of the point. Also, realizing that Mo = Fd, determine the perpendicular distance d from point O to the line of action of F. Note: The figure shows F and Mọ in an arbitrary position.

F3-4. Determine the moment of the force about point O. 50 N -100 mm- 60° 200 mm 45° -100 mm-

P-3. Determine the moment of the force about point O. 500 N 3m

The man in the figure draws the rope tied at point A.It pulls with a force of F=150 N. According to this manWrite the force F exerted by it as a Cartesian vector andDetermine the moment about point O.

Replace the two forces acting on the pole by a wrench. Write the force R and moment M associated with the wrench as vectors and specify the coordinates of the point P in the y-z plane through which the line of action of the wrench passes. Assume F₁ = 46 N, F₂ = 107 N, a = 1.6 m, b = 6.3 m. F₁ Answers: R=( i M = (i I Force and moment associated with wrench Coordinates of point P. (y,z) = (i F₂ T b i+ i ¡+ i i j+ i j+ ) m i k) N k) N-m

Determine the moment of force F about the door hinge at B. Express the result as a Cartesian vector.

Q3/ The 30-N force P is applied perpendicular to the portion BC of the bent bar. Determine the moment of P about point B and about point A (in two different ways). P = 30 N C 1.6 m 45° 1.6 m

For the pipe and rope assembly shown in the the diagram, determine the magnitude of the projected component of the force F along the pipe AO and the moment of force F about Point O. a= 5.7m

Handle forces F1 and F2 are applied to the electric drill. Replace this force system by an equivalent resultant force and couple moment acting at point O. Express the results in Cartesian vector from. Determine the resultant force and the moment of the resultant forse about the point O. Express your answer in terms of the unit vectors i, j and k.