Determine the angle between vector A a) Gnd in degrees bj De termine the magnitude Of the vector [ cross I produ ct betueen A and C c) betermine AX5. C
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- Vector A ,B qnd C are defined as folow A = 8.61 +5.6j -4.3k B=2-51 B:2.5.-8+7.3 K C= 3.3i + 8.7K the angle between Determine vector A and 8 in a) degrees bj De termine the magnitude Of the vector [ cross! product betueen A and C c) Determine AXB. C dj Determine A.CBXC)1) A force F has uomponents Determine thu MAGN ITUPE of F and Ox , Oy 4 62 it pons with the axes of the coordinates. Fx= 2ON F. BON Fe= 4ON. 2.) 300 MM 80° 2350 A * Determine the magnitude and sense of the moment of the lON Force about point A woing: a) M: Fxd bi) VARIGNON'S THEDNEMVector are defined as fonows 中 ,B,C A = 2.9i T 5-8 - 4.3 k =25i -3.7j+ 4.て こ- 3.51 r 3.2 K C = Adeterme the magattude oF the vector CEross] product between Ketorı A and E b) Determine A XB.C C) Determine A. CBXC)
- A. P, Colplate reach ot in Calduate the magn b Calalate the orce eber a Calculate the magnitude in momber BC in KN b) Dertemine the mument of P about the x axis )0etermine magnitude of Pabout the oriqin 0in N3. A vector Le as shon belaw. what is a. He rertical component 240 30 20 10 1.0 2.0 3.0 4:0 b). Te hoviy afad componed C. Ke veetor.Q Avecar A f Length 10 units.ma Kes an angle of 30 with avector Bof benath 6unuts. Find the wagnitude of the Vector difference A-B and the angle itmakes with vector A- O by the para llelagram method. O by the triangle methad. © bay the rectamqular vesalutien.
- A = 15mdueWest To get from one office to another in a company, a man travels as follows:B=25m, 53° Eastof North C=20mdue East Which of the following is the magnitude and direction of the resultant vector? (A) 27.6 m, 59 degrees N of E B) 29.2 m, 31 degrees E of N 29.2 m, 31 degrees N of E (D) 27.6 m, 59 degrees E of N E) No Answerhe maghitude and direction of the resultant according to the chosen scale. = 246 N, 255° Test yourself 3: 1. Two forces of 60 N and 8O N respectively act simultaneously at a point. F = 60 N Sketch and determine their resultant by using the following methods: a) tail-to-head 60° b) tail-to-tail (122 N 25 2. Two forces, F, and F, act at a point as indicated. a) Draw a sketch diagram to show the resultant force when angle 6 = 120. The angle is now decreased from 120° to 20°. F = 80 N F (The magnitudes of the forces remain the same.) b) Draw a new sketch diagram to show the new resultant. Compare the sizes of the resultants and write your conclusion. Forces in equilibrium A stationary object might have no forces acting on it. Forces on the object can also be balanced so there is a zero resultant InWhich of the following is the rectangular representation of the resultant? 60 N 25° 60° 50 40 N 50 N Select one: a. 191.98i +-360j O b. -20.55i +250.22j C. 60.79i -240j O d. 36.08i - 41.41j
- The position vector rAB = 150i – 85j + TAB2 k has magnitude equal to 188 m. a) Determine the z-component r48 2 (positive). b) If the coordinates of point A are (25, 50, -20)m, define the coordinates of point B. c) Find the angle in degrees of the vector with the y-axis. d) Express a unit vector parallel to rAB in terms of components.5. Consider the right-handed coordinate system below. The force F = 800 N has its line of action passing from A to B. If we resolve the force into its componets parallel and perpendicular to AC, what is the vector component parallel to AC?. F = 800 N m C 4 m 4 m 3 m 2 m 14 m x B A) {540.3i-443.65j} N B) {332.511-236.624j} N m C) {178.3i-779.881) N D) {181.731-484.621} Nfind Q ? L. 7om 2. 2om dso03 fzoul