PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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If F1 = 100 N , F2 = 120 N and F3 = 80 N, determine the magnitude and coordinate direction angles of the resultant couple moment.
If M1 = 425 Nm, M2 = 355 Nm and M3 = 420 Nm, determine the magnitude and coordinate direction angles of the resultant couple moment.
*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.
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- 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-marrow_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_forwarddetermine the couple moment that is applying on the steering wheel. Express the ansewr as a cartesian vector.arrow_forward
- Handle forces F¡ and F2 are applied to the electric drill. Replace this force system by an equivalent resultant force and couple moment acting at point 0. Express the results in Cartesian vector form. Set F, = { 3j - 6k } N and F2 = { 9i - 4.5j - 15k } N 0.15 m- 0.25 m 0.3 marrow_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_forwardDetermine 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_forward
- The 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_forwardDetermine the moment of the force F=40i8j+5kN about the y-axis.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_forward
- 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.arrow_forwardIn each case, establish a position vector from point B to point Aarrow_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_forward
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