Force System Resultants topics include: Moment of a force and couple, moment of a force on simplified axis, simple distributed loading, force and couple system simplification. A force system resultant is a representative force that has the same effect on a body as the group of forces it replaces. It is the simplest force that can replace the original forces system without changing its external effect on a rigid body.  The resultant force is the sum of all the vector forces being applied to an object. It is the total amount of force acting on the object or body along with the direction of... Show more

Force System Resultants topics include: Moment of a force and couple, moment of a force on simplified axis, simple distributed loading, force and couple system simplification.

A force system resultant is a representative force that has the same effect on a body as the group of forces it replaces. It is the simplest force that can replace the original forces system without changing its external effect on a rigid body. 
The resultant force is the sum of all the vector forces being applied to an object. It is the total amount of force acting on the object or body along with the direction of the body. 
The resultant force is zero when the object is at rest or it is traveling with the same velocity as the object. 
The magnitude of the resultant force is equal to the total area A under the loading diagram for length L. 
The resultant of a noncoplanar force system is a force R and a couple M, where R = ∑ F, the vector sum of all forces of the system. 

Examples of force systems include:
Forces system on lifting a weight with a pulley system
System on a balanced plank at a pivot 

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Engineering Mechanics Practice Test: Force System Resultants

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25 Questions

1. If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:

(Rb-Ra)xF(Rb-Ra).F(Ra-Rb).F(Ra-Rb)xF

2. What does the moment of the force measure?

The moment of inertia of the body about any axisThe tendency of rotation of the body along any axisThe couple moment produced by the single force acting on the bodyThe total work is done on the body by the force

3. The force and the couple can’t be simplified together as one is the cause and the other is the effect.

The statement is wrong but the reason given is also correctThe statement is wrong and the reason given is also wrongThe statement is correct but the reason given is also wrongThe statement is correct and the reason given is also correct

4. The ___________ forces do not cause the rotation if the rotation is considered in about the axis of the body or the centroid axis of the body.

ParallelNon-ParallelConcurrentNon-concurrent

5. The simplification of the forces on the axis is done as______________

A particular system of rule is followedNo simplification of the forces is possibleThe forces are very tentative quantity on terms of simplification and hence no simplification possibleThe forces are already simplified and don’t need simplification

6. There are two types of loading. The uniformly distributed and the non-uniformly distributed that is the one having two different values at corners.

The first part of the statement is false and other part is false tooThe first part of the statement is true and other part is falseThe first part of the statement is true and other part is true tooThe first part of the statement is false and other part is true

7. Which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)

Ax(rxF)A.(r.F)A.(rxF)Fx(r.F)

8. The moment axis is in the direction perpendicular to the plane of the force and the distance.

Don't KnowTrueMaybeFalse

9. Find the total resultant force acting in the given figure consisting of a beam with various sections.

461N300N350N250N

10. If the non-Uniform loading is of the type of parabola then?

The net force will act on the base of the loading horizontallyThe net force will act at the centroid of the parabolaThe net force will act the centre of the parabolaThe net load will not be formed as all the forces will be cancelled

11. The forces of the collinear system and the couple can’t be simplified together as one is the cause and the other is the effect.

The statement is correct and the reason given is also correctThe statement is wrong and the reason given is also wrongThe statement is wrong but the reason given is also correctThe statement is correct but the reason given is also wrong

12. The moment axis, force and the perpendicular distance in the moment of the force calculation is lying in____________

A single plane in the direction of the forceA single plane in the direction of the perpendicular distanceTwo planes perpendicular to each otherA single line in the direction of the force

13. A couple moment is a _______ vector.

ScalarFreeDelGradient

14. The axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.

Don't KnowMaybeTrueFalse

15. What does FLsinθ means/ represent for the moment (M) of the force (F) acting on the body at a distance L from the axis of the rotation?

The magnitude of the moment caused by the force on the bodyUnit vector of the moment vectorThe perpendicular distance of the force from the axis of rotationThe direction vector of the moment

16. The forces of the parallel system and the couple can’t be simplified together as one is the cause and the other is the effect.

The statement is correct but the reason given is also wrongThe statement is wrong but the reason given is also correctThe statement is correct and the reason given is also correctThe statement is wrong and the reason given is also wrong

17. The moment is the cross product of which two vectors?

Force and Radius vectorsRadius and Force scalarsRadius and Force vectorsForce and Radius scalars

18. In the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?

Axis coordinates, force coordinates, and the point coordinatesAxis coordinates, point coordinates, and the force coordinatesForce coordinates, point coordinates, and the axis coordinatesPoint coordinates, axis coordinates, and the force coordinates

19. Which of the following is correct?

We cannot represent the moment caused by the force along any point in vector formWe cannot represent the moment caused by the force along any axis in vector formWe can represent the moment caused by the force along any axis in the scalar formWe can represent the moment caused by the force along any axis in vector form

20. The main moto of the simplification is to ______________

To reduce the calculationTo add the forces with the couples and take out the totalTo multiply the forces with the couples and take out the totalTo subtract the forces with the couples and take out the total

21. Find the moment of the force about the point R.

5000Nm6000Nm5550Nm7000Nm

22. The resultant force acting, of the uniformly distributed loading, is dependent on:

The distance of the supports between themLength of the supportsVertical distanceArea

23. If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be______________

CoupleCouple sliderSlider coupleSliding vector

24. The resultant force acting in the couple is _________

ZeroInfiniteHalf the magnitude of the single forceTwice the magnitude of the single force

25. The basic type of motion of a body is translation motion only.

FalseDon't KnowMaybeTrue