Question

Question 14. Which of the following statements is NOT true about the components of a vector?

Any vector can be resolved into rectangular components

Any vector can be resolved into non-rectangular components

Components are rectangular when a vector is resolved along mutually perpendicular axes

Components are non-rectangular when a vector is resolved along axes forming 45 degree 

None of the above

 

Question 15. Which of the following methods is more appropriate when adding more than two vector?

Parallelogram method (law)

Triangle method (rule)

Components method

Trigonometric method

All of the above

 

Question 16. Which of the following statements is the definition of the moment arm d of a force F about a point O?

The moment arm is the distance from the point O to the tail of the force F

The moment arm is the distance from the point O to the tip of the force F

The moment arm is the distance from the point O to the mid-point of the force F

The moment arm is the perpendicular distance from the point O to the line of action of force F

None of the above

 

Question 17. Which of the following statements is NOT true about the moment M about point O, of a force F acting at a moment arm distance d?

The moment of a force is proportional to both the magnitude of a force and the moment arm

The moment of a force is proportional to the magnitude of a force but inversely proportional to the moment arm

A moment of a force is its ability to cause a body to rotate

The moment of a force is also known as torque

None of the above

 

Question 18. Which of the following statements is true about the relationship between the moment M, about point O, of a force F acting at a moment arm distance d?

The moment M is the product of the force F and the moment arm d

The moment M is the ratio of the force F to the moment arm d

The moment M is the ratio of the moment arm d to the force F

The moment M is the sum of the force F and the moment arm d

None of the above

 

 

Question 19. Which of the following states the Varignon’s theorem?

The forces of action and reaction between interactive bodies always have the same magnitudes and opposite direction

In two dimensional case, moments can be added algebraically

The moment of a force about a point is the same as the moment of its vertical component about the same point

The position, along the line of action, of the point of application of a force acting on a rigid body, does not alter the conditions of equilibrium or motion of the body

None of the above

 

Question 20. Which of the following statements characterizes a set of two forces forming a couple?

The two forces are equal in magnitudes

The two forces are of opposite directions

The lines of action of two forces distinct and parallel

A, B, and C

None of the above

Answer 1

​​​​​​Question 14

Statement 4 is not true

Non rectangular components are resolved along axes which are not perpendicular to each other. The have any angle other than 90°

Question 15

Component method

In this method, the x and y components of each vector is found using trignometry. Then the x components are added to get x component of the resultant and y components are added to get y component of resultant.

Parallelogram method and Triangle method are suitable for adding two vectors

Question 16

The moment arm is the distance from the point O to the tail of the Force F

Question 17

The moment of a force is proportional to both the magnitude of the force and the moment arm d

Question 18

The moment M is the product of the force F and the moment arm d

Questiom 19

None of the above

Varignon's theorem states that the moment of a force about a point is equal to the algebraic sum of the moments of the components of that force about that point. The third statements says only vertical component and ignores the horizontal component.

Question 20

A, B and C

A couple consists of two force having equal magnitude, are parallel and opposite.

In the figure, the forces F1 and F2 have equal magnitude and form a couple.