Can someone explain to me the solution of this problem please and why VB=(-20i) rad/s? Why rC/B=(4i-4k)in? 76.22:47 PM"O.A 29K/sUSM-CEN2-BSABE-BCalculate the velocity of coll ar B.VB = Oxr3V3 = (4k)×(5j)V3 =(-20i)in./sLIT 111A:LiteratureI hilippCalculate the accelerati on of collar B.a; = [4k×(-20i)]+[(3k)×(5j)]%3Da3 =(-15i – 80j)in./s?Calculate the velocity of collar C relative to the collar B.C/BVCB =(-3k)+(2i)x(4i – 4k)VCE = (8j- 3k)in./sCalculate the accelerati on of collar Crelative to the collar B.j-Sk +[(2i)×(-3k)]+[(8i)×(4i-4k)]+[(21)×(8j- 3k)]acBacs-j-8k +[(6i)]+[(32i)]+[(16k +6j]}aCB =(-2.25i +44j + 8k)in./s?Calculate the velocity of collar C.Vc =V3+0xrcB+ VC/BVc =(-20i)+(4k)x(4i – 4k)+(8j– 3k)Vc =(-20i)+(16j)+(8j – 3k)Vc =(-20i +24j- 3k )in./sCalculate the accel eration of collar C.ac = a3 +(óxrc3)+ox(@xrc3)+(2oxv3)+acB[(-15i – 80j) +[(3k)×(4i – 4k)]+(4k)x(4kx(4i- 4k)ac(+(2(4k)x(8i – 3k))+(-2.25i + 44j+8k)|(-15i -80j) + [(12)]+(4k)×(16j)]ac(+(64j) +(-2.25i+ 44j+8k)ac = {(-15i – 80j)+[(12j)]+(-64i)+(64j)+(-2.25i + 44j + 8k%3Dac =(-145i- 24j+ 8k)in./s² *20-44. At the instant shown, the rod AB is rotating aboutthe z axis with an angular velocity an = 4 rad/s and anangular acceleration o =3 rad/s2. At this same instant, thecircular rod has an angular motion relative to the rod asshown. If the collar C is moving down around the circularrod with a speed of 3 in./s, which is increasing at 8 in./s,both measured relative to the rod, determine the collar'svelocity and acceleration at this instant.Step 1We are provided with the following data:The angular velocity of the rod AB is N = 4krad/s.The angular acceleration of the rod AB is N = 3krad/s².W1 = 4 rad/sw = 3 rad/s2The length of the rod AB is rB =5jin.AThe angular velocity of collar C with respect to B isNC/B = 2irad/s.В5 in.The angular acceleration of collar C with respect to B isw2 = 2 rad/s8 rad/s2İC/B = 8irad/s?.The distance between collar C with respect to point B is4 in.rc/в 3 (4i — 4k) in.Prob. 20-44

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Engineering

Mechanical Engineering

Can someone explain to me the solution of this problem please and why VB=(-20i) rad/s? Why rC/B=(4i-4k)in?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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