Chapter 4, Problem 11P

Determine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector method using rF; (b) scalar method using rectangular components of F; and (c) scalar method using components of F that are parallel and perpendicular to the line OA.

The force F of magnitude 200 N is perpendicular to the plane ABC. Determine the magnitude of its moment about the x-axis.

The force F=2i12j+5klb acts along the line AB. Recognizing that the moment of F about point B is zero, determine the x- and z-coordinates of point B.

To lift the table without tilting, the combined moment of the four parallel forces must be zero about the x-axis and the y-axis (O is the center of the table). Determine the magnitude of the force F and the distance d.

The forces P and Q act on the handles of the wrench. If P = 321b and Q = 36 lb, determine the combined moment of the two forces about the z-axis.

When the three forces are replaced by an equivalent force-couple system with the force at point O, the couple vector CR is directed parallel to the x-axis. Determine F and the resultant force-couple system.

Determine the magnitude of the moment of the 150-N force about point O. Also find the perpendicular distance between the line of action of the force and point O (as in M = Fd).

The force F=18i12j+10kN is applied to the gripper of the holding device shown. Determine the moment of F about (a) the a-axis; and (b) the z-axis.

The force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.