Learning Goal: To understand how to quantitatively determine whether a particle is in a state of mechanical equilibrium. As shown, three forces, F1, F2, and F3, act at the same point on an object. (Figure 2) The point of application is the origin of a Cartesian coordinate system. F1, which has a magnitude of F1 = 20.0 kN , is in the y-z plane and is described by an angle B1 = 34.0 degrees . F2 is in the x-z plane and is described by integer lengths of a similar right triangle; its magnitude is F2 = 25.0 kN. If the sum of the forces is equal to zero, what is the magnitude of F3? Express your answer numerically in kilonewtons to three significant figures. In statics, we make extensive use of Newton's first law, which states that a particle, initially at rest, or moving in a straight line with constant velocity, will remain in its current state unless the particle is subjected to an unbalanced force system. If the sum of the forces acting on a particle is zero, then it is in mechanical equilibrium. Although a particle is most likely at rest when in equilibrium, it could alternatively • View Available Hint(s) F3 = 28.5 kN Submit Previous Answers Figure 1 of 3 > Correct Part C F2 What are the angles a3, B3, and y3 for the force F3 = 23.1i+(-16.6j)+(1.57k) in Part B? (Figure 3) Express your answers numerically in degrees to three significant figures separated by commas. • View Available Hint(s)

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Learning Goal:
To understand how to quantitatively determine
whether a particle is in a state of mechanical
equilibrium.
As shown, three forces, F1, F2, and F3, act at the same point on an object. (Figure 2) The point of application is the origin
of a Cartesian coordinate system. F1, which has a magnitude of F1 = 20.0 kN , is in the y-z plane and is described by an
angle B1 = 34.0 degrees . F2 is in the x-z plane and is described by integer lengths of a similar right triangle; its magnitude
is F2 = 25.0 kN. If the sum of the forces is equal to zero, what is the magnitude of F3?
Express your answer numerically in kilonewtons to three significant figures.
In statics, we make extensive use of Newton's first
law, which states that a particle, initially at rest, or
moving in a straight line with constant velocity, will
remain in its current state unless the particle is
subjected to an unbalanced force system. If the sum
of the forces acting on a particle is zero, then it is in
mechanical equilibrium. Although a particle is most
likely at rest when in equilibrium, it could alternatively
• View Available Hint(s)
F3 = 28.5 kN
Submit
Previous Answers
Figure
1 of 3
>
Correct
Part C
F2
What are the angles a3, B3, and y3 for the force F3 = 23.1i+(-16.6j)+(1.57k) in Part B? (Figure 3)
Express your answers numerically in degrees to three significant figures separated by commas.
• View Available Hint(s)
Transcribed Image Text:Learning Goal: To understand how to quantitatively determine whether a particle is in a state of mechanical equilibrium. As shown, three forces, F1, F2, and F3, act at the same point on an object. (Figure 2) The point of application is the origin of a Cartesian coordinate system. F1, which has a magnitude of F1 = 20.0 kN , is in the y-z plane and is described by an angle B1 = 34.0 degrees . F2 is in the x-z plane and is described by integer lengths of a similar right triangle; its magnitude is F2 = 25.0 kN. If the sum of the forces is equal to zero, what is the magnitude of F3? Express your answer numerically in kilonewtons to three significant figures. In statics, we make extensive use of Newton's first law, which states that a particle, initially at rest, or moving in a straight line with constant velocity, will remain in its current state unless the particle is subjected to an unbalanced force system. If the sum of the forces acting on a particle is zero, then it is in mechanical equilibrium. Although a particle is most likely at rest when in equilibrium, it could alternatively • View Available Hint(s) F3 = 28.5 kN Submit Previous Answers Figure 1 of 3 > Correct Part C F2 What are the angles a3, B3, and y3 for the force F3 = 23.1i+(-16.6j)+(1.57k) in Part B? (Figure 3) Express your answers numerically in degrees to three significant figures separated by commas. • View Available Hint(s)
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