Sample Problem 2/16
Sample Problem 2/17
Wrench Resultant Basic Concept
Sample Problem 2/18
Sample Problem 2/19
2/143 Three forces act at point O. If it is known that the y-component of the resultant R is -5 kN and that the z-component is 6 kN, determine F3, θ , and R.
2/144 Three equal forces are exerted on the equilateral plate as shown. Reduce the force system to an equivalent force–couple system at point O. Show that R is perpendicular to MO.
2/145 The thin rectangular plate is subjected to the four forces shown. Determine the equivalent force– couple system at O. What is the resultant of the system?
2/146 The spacecraft of Prob. 2/129 is repeated here. The plan is to fire four 4-N thrusters as shown in order to spin up the spacecraft about its z-axis, but the thruster at A fails. Determine the equivalent force–couple system at G for the remaining three thrusters.
2/147 An oil tanker moves away from its docked position under the action of reverse thrust from screw A, forward thrust from screw B, and side thrust from the bow thruster C. Determine the equivalent force–couple system at the mass center G.
2/148 The pulley and gear are subjected to the loads shown. For these forces, determine the equivalent force–couple system at point O.
2/149 Determine the force–couple system at O which is equivalent to the two forces applied to the shaft AOB. Is R perpendicular to MO?
2/150 The commercial airliner of Prob. 2/86 is redrawn here with three-dimensional information supplied. If engine 3 suddenly fails, determine the resultant of the three remaining engine thrust vectors, each of which has a magnitude of 90 kN. Specify the y and z-coordinates of the point through which the line of action of the resultant passes. This information would be critical to the design criteria of performance with engine failure.
2/151 Represent the resultant of the force system acting on the pipe assembly by a single force R at A and a couple M.
2/152 Two upward loads are exerted on the small three-dimensional truss. Reduce these two loads to a single force–couple system at point O. Show that R is perpendicular to MO. Then determine the point in the x-z plane through which the resultant passes.
2/153 A 25-kg computer and a 10-kg laser printer rest on a horizontal tabletop. Determine the resultant of the system of two corresponding weights and specify the coordinates of the point P in the x-y plane
through which the resultant passes. The two weights act at the points G1 and G2.
2/154 The motor mounted on the bracket is acted on by its 160-N weight, and its shaft resists the 120-N
thrust and 25- couple applied to it. Determine the resultant of the force system shown in terms of a force R at A and a couple M.
2/155 In tightening a bolt whose center is at point O, a person exerts a 180-N force on the ratchet handle with his right hand. In addition, with his left hand he exerts a 90-N force as shown in order to secure the socket onto the bolt head. Determine the equivalent force–couple system at O. Then find the point in the x-y plane through which the line of action of the resultant force of the wrench passes.
2/156 Replace the two forces acting on the pole by a wrench. Write the moment M associated with the
wrench as a vector and specify the coordinates of the point P in the y-z plane through which the line
of action of the wrench passes.
2/157 Replace the two forces acting on the frame by a wrench. Write the moment associated with the
wrench as a vector and specify the coordinates of the point P in the y-z plane through which the line
of action of the wrench passes. Note that the force of magnitude F is parallel to the x-axis.
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