PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Determine the resultant moment of the two forces about the Oa axis. Express the result as a Cartesian Vector.
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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 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.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_forward
- Determine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.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_forwardCalculate the resultant moment produced by two forces about point O. Express the result as a Cartesian vector.arrow_forward
- The force F in the system shown has a magnitude of 500 N and angles directional a = 65°, B = 130° and y = 45°. Determine the moment produced by the force F around point O, if L1 = 0.4m, L2 = 0.3m and L3 = 0.5m. Express the result as a Cartesian Vector. Li L3 Lz Farrow_forwardIf F, = {110i - 120j + 95k} N and F2 = { -160i + 240j + 95k} N, determine the resultant moment produced by these forces about point O. Express the result as a Cartesian vector. 4 m F, 5 m. 3.5 marrow_forwardThe man in the figure pulls the rope tied at point A with a force of F=150 N. Accordingly, write the force F exerted by the man as a cartesian vector and determine its moment with respect to point O.arrow_forward
- Determine the moment of force F about an axis through A and C. Express the result as a Cartesian vectorarrow_forwardSOLVE ASAPThe line of action of force F₁ = 388 N is passing through point A(+2,+3,+1) towards B(+5,+5, +4), while that of force F₂ = 488 N is through point C(+3,+1,−1) towards D(-2, -3, -4). Use a right-handed coordinate system.a. Determine the moment of force F₁ about the origin.b. Determine the moment of force F2 about the origin. c. Determine the magnitude of the resultant moment of forces Fi and F₂ about segment OE. Point O is the origin and point E is at (+5,+5,-3).arrow_forwardExpress the 5-kN force F as a Cartesian vector in terms of the unit vectors i, j, and k. Determine the projection of F onto the x-axis and onto line OA. (Hint: express line OA as an arbitrary length vector and then apply the “DOT” product stuff for projections.)arrow_forward
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