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. The main moto of the simplification is to ______________

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

2. 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)

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

3. If a 12m high tree is being pulled by the tractor, by a rope tied over the top. With the tractor at a linear distance of 12m and 4m away perpendicularly from the tree. If the force applied by the tractor is 2KN then what is the moment caused by the roots of the tree?

-16.5i+5.51j KNm-16.5i+5.51j KNmm-16.5i+7.51j KNm

4. The uniformly distributed load is having two different values of load per unit length on the ends of the distribution.

FalseTrueDon't KnowMaybe

5. The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as __________

The first part of the statement is false and another part is trueThe first part of the statement is true and another part is falseThe first part of the statement is false and another part is false tooThe first part of the statement is true and another part is true too

6. The basic way of getting the direction of the moment caused by the force is:

The use of left hand rule with thumb giving the direction of the momentThe use of right hand rule with forefinger giving the direction of the momentThe use of right hand rule with thumb giving the direction of the momentThe use of left hand rule with forefinger giving the direction of the moment

7. In triangle distributed loading, the loading at any distance can be easily found by using which of the following trigonometry function?

CosineTangentSine inverseSine

8. Just like the collinear force system, there is a system of the parallel forces.

Don't KnowMaybeTrueFalse

9. The resultant couple moment is ____________ sum of various couples acting on the body.

VectorScalar TripleScalarDot

10. The couple is simplified easily with the help of left hand rule. But the forces simplification is not possible as there is no such system of rules so that the forces can be simplified.

The first part of the statement is false and other part is trueThe 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 false too

11. If the rotation is clockwise in this page, suppose, then in which direction will the thumb project if you curl your hand in the same direction of the rotation?

It will point to the direction parallel to the plane of the paper and towards rightIt will point to the direction perpendicular to the plane of the paper and away from youIt will point to the direction perpendicular to the plane of the paper and towards youIt will point to the direction parallel to the plane of the paper and towards left

12. In the simplification of the loading system, the net force acts at the ___________ of the loading body.

CentroidThe baseThe centre axisThe corner

13. A couple moment is a _______ vector.

FreeGradientDelScalar

14. If you are opening the door, then the force you apply is greater if you open it from the part closer to the hinges.

MaybeTrueFalseDon't Know

15. 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:

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

16. If any force is applied in the direction of the positive x-axis, and there are three different point on which the moment of this force is to be calculated. Then if these three points are on the positive side of the y-axis with varying distance, then what will be the direction of the moment caused by the force to the individual point?

Towards positive z-axisTowards positive y-axisTowards negative z-axisTowards positive x-axis

17. The couple moment and the force is divided to get the distance of the axis from the point of action of the force.

FalseDon't KnowTrueMaybe

18. 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 trueThe first part of the statement is true and other part is true tooThe first part of the statement is false and other part is false tooThe first part of the statement is true and other part is false

19. Which of the following is correct in the determination of the moment direction by curling of wrist?

The thumb represents the direction of the momentThe thumb represents the direction of the forceThe fingers represent the direction of the forceThe direction in which you curl your wrist is towards the direction of the distance from point of contact of force to the axis of rotation.

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

TrueDon't KnowFalseMaybe

21. Which of the following is correct w.r.t the moment (M) of the force (F) acting on the body at a distance L from the axis of the rotation?

M=FLsinθM=FLcosθM=FxLsinθM=F.Lsinθ

22. M = ∑(rxF) represents what?

The total distance of the point of contact of the and the axis of rotationThe total force acting on the bodyThe equation is wrong, it must be FxrThe total moment of the forces

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

300N250N461N350N

24. In the collinear force system, a net force is being made after all the simplification done on all the forces.

TrueMaybeDon't KnowFalse

25. The principle of transmissibility is

It states that the force acting on the body is a wedging vectorIt states that the force acting on the body is a sliding vectorIt states that the force acting on the body is a rolling vectorIt states that the force acting on the body is a unit vector