3) A barge is pulled by the two tugboats shown in the following figure. One tugboat pulls on the barge with a force of magnitude 4000 units of force at 15° above the line AB (see the figure) and the other tugboat pulls on the barge with a force of magnitude 5000 units of force at 12° below the line AB. 5000 units 4000 units a) What is the component of each force vector from the tugboats? [5 points] b) Find the vector sum in both the x and y directions [5 points] c) What is the magnitude of the vector sum? What is the direction of the vector sum (as measured from the line AB)? [10 points] Barge

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3) A barge is pulled by the two tugboats shown in the following figure.
One tugboat pulls on the barge with a force of magnitude 4000 units
of force at 15° above the line AB (see the figure) and the other
tugboat pulls on the barge with a force of magnitude 5000 units of
IA
5000 units
4000 units
15
force at 12° below the line AB.
12
a) What is the component of each force vector from the tugboats?
[5 points]
b) Find the vector sum in both the x and y directions [5 points]
c) What is the magnitude of the vector sum? What is the direction
of the vector sum (as measured from the line AB)? [10 points]
Barge
d) If the values given are measured in standard units of force and
the barge has a mass of 10,000 kg, what is the acceleration of the
barge? [5 points]
(View from above)
Transcribed Image Text:3) A barge is pulled by the two tugboats shown in the following figure. One tugboat pulls on the barge with a force of magnitude 4000 units of force at 15° above the line AB (see the figure) and the other tugboat pulls on the barge with a force of magnitude 5000 units of IA 5000 units 4000 units 15 force at 12° below the line AB. 12 a) What is the component of each force vector from the tugboats? [5 points] b) Find the vector sum in both the x and y directions [5 points] c) What is the magnitude of the vector sum? What is the direction of the vector sum (as measured from the line AB)? [10 points] Barge d) If the values given are measured in standard units of force and the barge has a mass of 10,000 kg, what is the acceleration of the barge? [5 points] (View from above)
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