Q.4) A 10 KN blimp is held in place by three cables attached to the ground (x-y plane). The blimp has a lift force of 45 kN exerted in the positive z-direction along with a 6 kN horizontal drag force parallel to the y-axis. (Note: a drag force opposes the relative motion of an object, or in this case opposed the direction the blimp is facing). Assume the blimp maintains an orientation headed into the wind, parallel to the y-axis. Treat the blimp as a particle. a) Express the position vectors from B to A, from B to C, and from B to Das Cartesian vectors. b) Express the unit vectors from B to A, from B to C, and from B to D as Cartesian vectors. c) Find the tension (magnitude) in each of the three cables. 20 m 10 m x Z D 17 12 m Ty 15 m 4 m 6 m

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Q.4) A 10 kN blimp is held in place by three cables attached to the ground (x-y plane). The blimp
has a lift force of 45 kN exerted in the positive z-direction along with a 6 kN horizontal drag force
parallel to the y-axis. (Note: a drag force opposes the relative motion of an object, or in this case
opposed the direction the blimp is facing). Assume the blimp maintains an orientation headed into
the wind, parallel to the y-axis. Treat the blimp as a particle.
a) Express the position vectors from B to A, from B to C, and from B to D as Cartesian vectors.
b) Express the unit vectors from B to A, from B to C, and from B to D as Cartesian vectors.
c) Find the tension (magnitude) in each of the three cables.
20 m
10 m
12 m
Z
D
4m
6 m
y
15 m
Transcribed Image Text:Q.4) A 10 kN blimp is held in place by three cables attached to the ground (x-y plane). The blimp has a lift force of 45 kN exerted in the positive z-direction along with a 6 kN horizontal drag force parallel to the y-axis. (Note: a drag force opposes the relative motion of an object, or in this case opposed the direction the blimp is facing). Assume the blimp maintains an orientation headed into the wind, parallel to the y-axis. Treat the blimp as a particle. a) Express the position vectors from B to A, from B to C, and from B to D as Cartesian vectors. b) Express the unit vectors from B to A, from B to C, and from B to D as Cartesian vectors. c) Find the tension (magnitude) in each of the three cables. 20 m 10 m 12 m Z D 4m 6 m y 15 m
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