The mast of a small sailing boat is supported by a cable AE also known as a Backstay. If the Backstay experiences a force at A of 950 N: a) determine the moment of the force about the line joining points A and C. (" b) If I wanted remove the cable and fix the joint C, what would be the force-couple at C? (

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The mast of a small sailing boat is supported by a cable AE also known as a Backstay. If the Backstay experiences a force at A of 950 N:
a) determine the moment of the force about the line joining points A and C. ("
b) If I wanted remove the cable and fix the joint C, what would be the force-couple at C? (
1000
3200
1200
1425
B
525
900
350
E
v 300
All Dimensions in mm
a) Calculate the vector defining the axis DC
ADc =
i+
j+
k
Calculate the Moment arm AC
RA/C =
mmi +
mmj +
mmk
Calculate the Force vector TAE
TAE =
Ni +
Nj +
Nk
Calculate the Moment Moc
Mpc =
N.mm
b) Calculate the force-couple at C:
TAE =
Ni +
Nj +
Nk
Mc =
N.mmi +
N.mmj +
N.mmk
Transcribed Image Text:The mast of a small sailing boat is supported by a cable AE also known as a Backstay. If the Backstay experiences a force at A of 950 N: a) determine the moment of the force about the line joining points A and C. (" b) If I wanted remove the cable and fix the joint C, what would be the force-couple at C? ( 1000 3200 1200 1425 B 525 900 350 E v 300 All Dimensions in mm a) Calculate the vector defining the axis DC ADc = i+ j+ k Calculate the Moment arm AC RA/C = mmi + mmj + mmk Calculate the Force vector TAE TAE = Ni + Nj + Nk Calculate the Moment Moc Mpc = N.mm b) Calculate the force-couple at C: TAE = Ni + Nj + Nk Mc = N.mmi + N.mmj + N.mmk
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