Specify the magnitude of F3 and its coordinate direction angles a3, B3, 73 so that the resultant forc is FR = { 9j } kN. F; = 10 kN 135 B/12 az 30° 'F; = 12 kN
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- Given the Position vector R= 2i -j+ 3k (m) and the Force vector F = i+j+k (kN) Determine the angle in degrees between the two vectors. Answer:Part A If F, = {115i - 125j + 90k) lb and F2 = {-220i + 280j + 120k} lb, determine the resultant moment produced by these forces about point O. Express the result as a Cartesian vector. (Figure 1) Enter the r, y and z components of the moment of force separated by commas. V AEO vec Mo = Ib - ft Figure < 1 of 1 Submit Previous Answers Request Answer < Return to Assignment Provide Feedback 4 ft 3 ftFor the section to the right, find the neutral axis due to the applied moment. (a) First work the problem in x'- y coordinate system. (b) Then work the problem in x-y coordinate system and show the final location of the neutral axis is the same. 5 mm M = 400 N·m 18.57 mm 30° 5 mm 50 mm 5 mm 50 mm O
- 3. Find the resultant force and its direction. Use the Ccmponent method. 100 N 110N 30 3ON 160NDetermine the magnitudes of the projected components of the force F = [60i + 12j - 40k] N along the cables AB and AC.Find the magnitude of the two components of F directed along AB * .and AC F=200 N 30° 50 o B (FAC=153N) AND (FAB= 174.3N) O (FAC=173N) AND (FAB= 194.3N)O (FAC=163N) AND (FAB= 184.3N) O
- Given the Position vector R= 5i + 4j + 3k (m) and the Force vector F = 4i – 5j+3k (kN) Determine the angle in degrees between the two vectors. Answer:A system of concurrent forces having the following magnitudes and passing through the origin and the indicated points: F1 = 320kN (5, -2, 7); F2 = 200kN (-3, 0, -4); F3 = 440kN (2, 1, -6). What is the angle between F1 and F3?Consider the following picture F₁ = 69 N F₂ = 181 N F₂= 255 N ZA = 32 m Find the magnitude of the resultant force acting on the pole at height ZA. N ENTER Calculate the directional cosine cos(a), cos(3), cos(y) ENTER B (15,-10, 0) F₁ N N A (0, 0, Z₂) F₂N F3 N D (-5, 10, 0) C (20, 25, 0)
- 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 degreetheta = 33 degrees M1 = 450 Nm M2 = 550 Nm Мз - 650 Nm = M3 M2 Find the x-component of the resultant moment (in N-m). Find the angle of the resultant moment with respect to the positive z-axis (gamma in degrees). Find the z-component of the resultant moment (in N-m). If the calculated answer is not whole number, express it in 4 significant figures. If the value is negative, include a negative sign.F1 = 500 N 4 m 3 m 2 m F2 = 400 N F; = {-200i + 500j – 300k} N. Express the moment of F3 about point O.