Please solve m/course.html? course?d-14661581 &OpenVellurnHMAC;, a3bO34e5d 9c18d

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Please solve m/course.html? course?d-14661581 &OpenVellurnHMAC;, a3bO34e5d 9c18d27C78eb5c83224d6b. 10001 Apps For quick a Secure https://session.masteringengi myct/itemView?assignmentProblemiDa 7280392 Mastering EnHW 11: Sections 6.5-5.7 0 My Courses Problem 5.66 K) 2 of 6 Course Home Syllabus Scores e Text Study Area Document sha Figure User Settings Course Tools Previous Answers The smooth uniform rod AB is supported by a ball-and-socket joint at A, the wall at B, and cable BC The rod has a mass of 24 kg (Figure 1) Correct ? Part C Determine the z, y and z components of reaction at A using scalar notation Express your answers using three significant figures separated by commas 1of 1 A. A, A70.6,52.6,211 Submit incorrect. Try Again: 5 attempts remaining ace

Explanation / Answer

for the given problem
ball and socket joint has normal reaction only in direction of the rod
let ths force be F

also, net moment about this joint A = 0
let normal force of the wall = Nb ( along -x axis)
tension in the cable = T ( in the direction of the cable)
weight of rod, W = 24g ( -z direction)

hence from moment balance
((0 - 1.5)i + (1 - 0)j + (2k)) x T((0 - 1)j + (0.5k) - Nbi - 24g/2 k) = 0

(-1.5i + j + 2k) x (- Nbi - Tj +(0.5T - 117.72)k) = 0
(-1.5)*(-Tk - (0.5T - 117.72)j) + (Nb k + (0.5T - 117.2)i) + 2(-Nbj + Ti) = 0
hence
comparing coefficients
1.5T - Nb = 0
1.5(0.5T - 117.72) - 2Nb = 0
(0.5T - 117.72) + 2T = 0

hence
T = 47.088 N
Nb = -70.632 N

c. now from force balance
F + T((0 - 1)j + (0.5k)) - Nbi - 12gk = 0
F - Tj + 0.5Tk - Nbi - 12gk = 0
F = i(Nb) + j(T) + k(-0.5T + 12g)
F = -70.632i + 47.088j + 94.17k
in scalar form
Fx, Fy, Fz = -70.632,47.088,94.17

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