Why VB is equals to (-20i)in./s? Can someone explain

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter8: Influence Lines
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Why VB is equals to (-20i)in./s?

Can someone explain

76.2
2:47 PM
"O.
A 29
K/s
USM-CEN
2-BSABE-B
Calculate the velocity of coll ar B.
VB = Oxr3
V3 = (4k)×(5j)
V3 =(-20i)in./s
LIT 111A:
Literature
I hilipp
Calculate the accelerati on of collar B.
a; = [4k×(-20i)]+[(3k)×(5j)]
%3D
a3 =(-15i – 80j)in./s?
Calculate the velocity of collar C relative to the collar B.
C/B
VCB =(-3k)+(2i)x(4i – 4k)
VCE = (8j- 3k)in./s
Calculate the accelerati on of collar Crelative to the collar B.
j-Sk +[(2i)×(-3k)]+[(8i)×(4i-4k)]
+[(21)×(8j- 3k)]
acB
acs-
j-8k +[(6i)]+[(32i)]+[(16k +6j]}
aCB =(-2.25i +44j + 8k)in./s?
Calculate the velocity of collar C.
Vc =V3+0xrcB+ VC/B
Vc =(-20i)+(4k)x(4i – 4k)+(8j– 3k)
Vc =(-20i)+(16j)+(8j – 3k)
Vc =(-20i +24j- 3k )in./s
Calculate 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
%3D
ac =(-145i- 24j+ 8k)in./s²
Transcribed Image Text:76.2 2:47 PM "O. A 29 K/s USM-CEN 2-BSABE-B Calculate the velocity of coll ar B. VB = Oxr3 V3 = (4k)×(5j) V3 =(-20i)in./s LIT 111A: Literature I hilipp Calculate the accelerati on of collar B. a; = [4k×(-20i)]+[(3k)×(5j)] %3D a3 =(-15i – 80j)in./s? Calculate the velocity of collar C relative to the collar B. C/B VCB =(-3k)+(2i)x(4i – 4k) VCE = (8j- 3k)in./s Calculate the accelerati on of collar Crelative to the collar B. j-Sk +[(2i)×(-3k)]+[(8i)×(4i-4k)] +[(21)×(8j- 3k)] acB acs- j-8k +[(6i)]+[(32i)]+[(16k +6j]} aCB =(-2.25i +44j + 8k)in./s? Calculate the velocity of collar C. Vc =V3+0xrcB+ VC/B Vc =(-20i)+(4k)x(4i – 4k)+(8j– 3k) Vc =(-20i)+(16j)+(8j – 3k) Vc =(-20i +24j- 3k )in./s Calculate 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 %3D ac =(-145i- 24j+ 8k)in./s²
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