PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Determine the moment of the force about point O. (scalar method and vector method)
*Determine the magnitude of the moments of the force F about the x, y, and z axes.*
Pt A. Solve the problem using a Cartesian vector approach.
Pt B. Solve the problem using a scalar approach.
Find the x-component the resultant of two forces: A= 100N, acting 30 degrees to left of the negative y-axis, and B=150N, acting 45 degrees below the positive x-axis
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- 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.arrow_forwardThe arm ABCD of the industrial robot lies in a vertical plane that is inclined at 40 to the yz-plane. The arm CD makes an angle of 30 with the vertical. A socket wrench attached at point D applies a 52-lb ft couple about the arm CD, directed as shown. (a) Find the couple-vector that represents the given couple. (b) Determine the moment of the couple about the z-axis.arrow_forwardThe wrench is used to tighten a nut on the wheel. Determine the moment of the 120-lb force about the origin O. Express your answer in vector form.arrow_forward
- The tensions in the cables supporting the pole are T1=T2=T3=60kN. Replace the cable tensions with an equivalent force-couple system with the force acting at O. Express your answer in vector form.arrow_forwardThe trapdoor is held in the horizontal plane by two wires. Replace the forces in the wires with an equivalent force R that passes through point A, and determine the y-coordinate of point A.arrow_forwardThe 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.arrow_forward
- The force F of magnitude 200 N is perpendicular to the plane ABC. Determine the magnitude of its moment about the x-axis.arrow_forwardThe moment of the force F=50i100j70klb about point O is MO=400i+410j300klbft. Determine the coordinates of the point where the line of action of F intersects the xz-plane.arrow_forwardNO NEED SOLUTION The given force in the figure passes through the origin and point A(5,-12,16). Its z-component isarrow_forward
- The force of magnitude F acts along the edge of the triangular plate. Determine the moment of F about point O, using scalar method (Varignon's theorem) only.arrow_forwardDetermine the magnitude of the moment of the 200-N force about the x axis. Solve the problem using both a scalar and a vector analysis.arrow_forward1. Aforce F is applied to the wrench. Determine the moment of this force about point 0. Solve the problem using both a scalar analysis and a vector analysis.arrow_forward
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