Question
Asked Oct 12, 2019
3 views

The cables are used to tether a balloon as shown. Determine the vertical force P exerted by the balloon at A knowing that the tension in cable AD is 481N.

5.60 m
D
4.20 m
3.30 m
4.20 m
2.40 m
Fig. P2.101 and P2.102
help_outline

Image Transcriptionclose

5.60 m D 4.20 m 3.30 m 4.20 m 2.40 m Fig. P2.101 and P2.102

fullscreen
check_circle

Expert Answer

Step 1

Drawing FBD for given diagram:

P
Y
5.60 m
ТАВ
ТАс
3.30 m
-X
4.20 m
4.20 m
С
2.40 m
/
7
r TAD= 481 N
help_outline

Image Transcriptionclose

P Y 5.60 m ТАВ ТАс 3.30 m -X 4.20 m 4.20 m С 2.40 m / 7 r TAD= 481 N

fullscreen
Step 2

Find component and magnitude of the AB, AC, AD:

AB = (-4.2)i+(5.6) j
AB=-4.2) +(-5.6)
AB 7m
AC (2.4)i+(5.6)j+(4.2)k
AC=(2.4)+(-5.6)(4.2)
AC 7.4m
AD= (-5.6)j+(-3.3) k
AD=(-5.6)+(-3.3)
AD=6.5m
help_outline

Image Transcriptionclose

AB = (-4.2)i+(5.6) j AB=-4.2) +(-5.6) AB 7m AC (2.4)i+(5.6)j+(4.2)k AC=(2.4)+(-5.6)(4.2) AC 7.4m AD= (-5.6)j+(-3.3) k AD=(-5.6)+(-3.3) AD=6.5m

fullscreen
Step 3

Calculating unit vector along AB, AC, ...

АВ
АВ
АВ
AB=(-4.2)i+(-5.6)j & AB=7m
(-4.2)i+(-5.6)
: ТАв 3Тив
7
(-0.674 )i(-0.8T)j
АВ
help_outline

Image Transcriptionclose

АВ АВ АВ AB=(-4.2)i+(-5.6)j & AB=7m (-4.2)i+(-5.6) : ТАв 3Тив 7 (-0.674 )i(-0.8T)j АВ

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Civil Engineering

Related Civil Engineering Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: -6 in. dia 2 in S in 5 in 5 in. dia Fig. P8.141 8.141 The thin-walled cylindrical can with a spheric...

A: Sketch the thin walled cylindrical as shown in Figure 1.

question_answer

Q: Determine the couple C that will hold the bar AB in equilibrium in the position shown. Neglect the w...

A: Sketch the free body diagram of entire structure as shown in Figure 1.

question_answer

Q: How do you calculate the support reactions, shear, and moment diagrams for the frame in the attached...

A: Taking moment in the anticlockwise direction positive and clockwise negative.

question_answer

Q: how does america’s infrastructure compare to other countries ?

A: Main development activity towards infrastructure happened in the 1960s. Many buildings have been dan...

question_answer

Q: the beam has a roof with a slope of 40mm/m. it is located in an open field where the ground snow loa...

A: Given data: Ground snow load (Pg) = 1.5KN/m2                                       Slope of roof ( θ...

question_answer

Q: 7.87 Can the uniform bar of weight W remain at rest in the position shown? = 0.6 60 30° Fig. P7.87

A: Show the free body diagram of uniform bar weight ABC as in Figure 1.

question_answer

Q: Estimate the life of a landfill for a user population of 10,000. The available area for the are-type...

A: Consider the per capita generation rate (r) is 4.5 lb./(person/day)Consider the landfill density is ...

question_answer

Q: Fluid Mechanics Will water in a parafin wax capillary tube inserted vertically in a reservoir of wat...

A: Capillary Action:The tendency of a fluid to rise or suppress in a narrow tube, or capillary tube, is...

question_answer

Q: Convert the following. Express answer in degrees, minutes. Bearing Azimuth S28°41'E 72008' N06 35'E ...

A: The azimuth angle is the angle measured clockwise from any reference meridian. They vary form 0 degr...