A three-dimensional force system is a system of forces that act in three dimensions. The forces are applied along the x, y, and z coordinate axes.  A three-dimensional force is generally expressed as Fx, Fy, and Fz. These forces refer to the forces along the X, Y, and Z directions in the space Cartesian coordinate system.  One example of a three-dimensional force system is the force acting on a particle in space. This force can be broken down into three components: the x-component, the y-component, and the z-component.  When a particle is in equilibrium, the vector sum of all the forces... Show more

A three-dimensional force system is a system of forces that act in three dimensions. The forces are applied along the x, y, and z coordinate axes. 

A three-dimensional force is generally expressed as Fx, Fy, and Fz. These forces refer to the forces along the X, Y, and Z directions in the space Cartesian coordinate system. 
One example of a three-dimensional force system is the force acting on a particle in space. This force can be broken down into three components: the x-component, the y-component, and the z-component. 
When a particle is in equilibrium, the vector sum of all the forces acting on it must be zero (Σ F = 0). This equation can be written in terms of its x, y, and z components. 
In solving three-dimensional problems, you must usually find the x, y, and z scalar components of a force. In most cases, the direction of a force is described by two points on the line of action of the force or by two angles which orient the line of action.

Related Test: Engineering Mechanics Practice Test: Force Vectors

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Engineering Mechanics Practice Test: Three Dimensional Force System

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12 Questions

1. In the diagram given below, coordinates of D is (1, -2, 2), C (-2, 0, 0) and B are as shown. The dark region is the cables holding the weight of 600N at the origin. Find the tension in the AD section.

693N900N646N0N

2. If anybody is tied to three or more ropes, and then is allowed to achieve its equilibrium. Then the equilibrium achieved is achieved w.r.t what?

The three axis of the bodyThe ropes directionThe weight directionThe ground

3. An electromagnet crane is carrying the electromagnet with the help of the three cables. But the electromagnet is not stable because of the wind. What is science behind the cause?

The wind is making the net force of the body equal to zero value and supporting equilibriumThe wind is making the net force of the body equal to a non-zero valueThe wind is making the net force of the body equal to zero valueThe wind is making the net force of the body equal to a non-zero value but is supporting the equilibrium

4. We first make equilibrium equations and then the free body diagram and then solve the question.

TrueFalseMaybeDon't Know

5. Find the tension in the cable AC.

-29N23.6N55N89N

6. If solving the question in 3D calculations is difficult, then use the 2D system and then equate the total net force to zero.

Don't KnowFalseMaybeTrue

7. When the body is in equilibrium then which of the following is true?

We equate all the components of the forces acting on the body equal to their resultant vector’s magnitude squareWe equate all the components of the forces acting on the body equal to their resultant vector’s magnitude square rootWe equate all the components of the forces acting on the body equal to zeroWe equate all the components of the forces acting on the body equal to their resultant vector’s magnitude

8. In the diagram given below, coordinates of D is (1, -2, 2), C (-2, 0, 0) and B are as shown. The dark region is the cables holding the weight of 600N at origin. Find the tension in the AB section.

693N646N0N900N

9. What is not the condition for the equilibrium in three dimensional system of axis?

∑F≠0∑Fz=0∑Fy=0∑Fx=0

10. ∑Fx=0, ∑Fy=0 and ∑Fz=0 are vector equations.

MaybeTrueDon't KnowFalse

11. Determine the value of the q, parallel to the z-axis. That is the point of intersection of the projections of the points A, B and C parallel to the xy plane. With the distance between the tri-section point and the points A, B and C be equal to 0.6m.

51.9m51.9mm5.19mm51.9cm

12. If the resolved force or the force which you get as the answer after solving the question is negative, then what does this implies?

The force is in the reverse direction w.r.t the direction set in the free body diagramThe force component is not possibleThe force is not in the reverse direction w.r.t the direction set in the free body diagramThe force is possible, but in the direction perpendicular to the resultant force