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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.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.tion The horizontal force F acts on the handle of the wrench (i.e F is parallel to xy-plane). What is x-component of the moment of this force about the origin "O"? F = 19.5 N, a = 36 mm, b = 200 mm, c = 10 mm, 0 = 30°. ut of B a
- Q: Represent the resultant of the three forces and one couple by an equivalent force R at A and a couple M. find M and the magnitude and direction ofR* -30 400 lb 3' 1000 lb-ft A B 800 lb 6'- 300 lb O R=677N, M-1131 ib-ft, theta= 41.2 degree O R=675N, M=1136 ib-ft, theta= 42.2 degree R=676N, M=1132 ib-ft, theta= 40.2 degreeThe moment of the force F=960-lb about the point O in Cartesian vector form is. F 411 2 ft 4 ft Select one Ma 1000, - 3200kTwo forces act on the rod shown in Fig. 4-15a. Determine the resultant moment they create about the flange at O. Express the result as a Cartesian vector. F, =1-601 +40j + 20k) Ib 2 ft 4 ft B 5 t F; = (80i + 40j - 30k} lb t. (b) (a)
- A trailer has a triangular door ABC secured on the edge BC. If Q = (-2i + 5j + 14k) lb, determine the moment of Q about the BC axis. Please detail at the end the result of each number literal The "x" component of the position vector from B to A The magnitude of the position vector from B to A is equal to The "x" component of the unit vector of the BC axis has the value The result of evaluating the secondary diagonals of the determinant for the moment about the BC axis value The moment of the force about the BC axis2D Moment Coupie Ravullant Dr. Hazim Umran Alwan Moment 1 The 4-kN force F is applied at point A Compute the moment of F about point O expressing it both as a scalar and as a vector quantity Defermine the coordinates of the points on the x and y-axes about which the momerit of F is zero Ans 2 68 kN m, (13,0) (0.0 78) AU LS P-4KN 2- The rectangular plate is made up of 1-ft squares as shown. A 75-1b Force is applied at point A in the direction shown. Determine the moment of this force about point B and about point C. Ans. 134.2 lb. ft, 235 lb.ft 3- A force F of magnitude 40N is applied to the gear. Determine the moment of F about point O Ans. 5.64 N.m In order to raise the flagpole OC, a light frame OAB is atached to the pole and a tension of 78O Ib is developed in the hoisting cable by the power winch D. Calculate the moment Mo of this tension about the hinge point O. Ans. 5010 ib.ft 4- 10 10 20 10 B OD Dr Hazim Umran Alwan UTA2:56 90 0t O V all 22 classroom.google.com/u/ A ميكانيك هندسي Sgall LKs 23 A prybar is used to remove a nail as shown. De- termine the moment of the 240-N force about the peint O of contact between the prybar and the amall support block. 16m 240 N 16m aso mm PROBLEM 2/3s 2/ A man exerts a force Fon the handle of the stationary wheelbarrow at A. The weight of the wheelbarrow along with ita load of dirt in 185 Ib with center of gravity at G. For the configuration shown, what force must the man apply at A to make the net moment about the tie cuntact point B equal te ero? 30 mm PROBLEM 2/33 Representative Problems a34 An overhead view of a door is shown. If the com- pressive ferce aeting in the coupler arm of the hy draulic door elaser is 17 Ib with the arientation ahown, determine the moment of this force about the hinge axis 0. 20 PROBLEM 2/3s a7 A 150-N pull Tin applied to a cord, which is wound securely around the inner hub of the drum. Determine the moment of T about the drum center…
- 2/27 The 4-kN force F is applied at point A. Compute the moment of F about point O, expressing it both as a scalar and as a vector quantity. Determine the coor- dinates of the points on the x- and y-axes about which the moment of F is zero. Ans. Mo = 2.68 kN -m CCW, M, = 2.68k kN-m (z, y) = (-1.3, 0) and (0, 0.78) m y, m A (1.2, 1.5) F= 4 kN - -x, mQ2/ F=4 kN Determine the projections Pa and Ph of the 4-kN force F on to the a- and b- axes. 30° 40° T15° --- - ----- Q3/ 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. h F b.The moment of the force F=360-lb about the point O in Cartesian vector form is. 1 ft OB 4 ft' 2 ft 4 ft. Select one: 1200/-