Ex. 5. Put the questions to the following answers. 


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Ex. 5. Put the questions to the following answers.



1. Action of a spring on a movable body to which it is attached.

2. It is proportional to spring deformation.

3. The deformation changes from x2 to a lesser defor­mation x1.

4. It  is established by the position vector r.

5. It   is represented by the change d r in its position vector.

Ex.6. Say whether the following statements are True or False.

1. In calculating the work done by a spring force, the units for k and x shouldn’t be always consistent.

2. The work done onthe body is negative   when the body is moved to stretch the spring and it is positive when the body is moved to compress the spring.

3. The expression F ═ kx is actually a dynamic relationship which is true when elements of the spring have some acceleration.

4. If x (displacement)is measured in meters, then k (spring stiffness)must be measured in N/m.

5. The force F in the spring, tension or compression, is proportional to its deformation x.

 

Ex.7. Find in the text the synonyms to the following words or word combinations.

Extend, elongate, combination, constrict, rough information, investigational facts, stationary, active conduct, constant, similar direction,  reverse, smaller, loosen up, changeable, uneven.

 

 

 

Ex. 8. Match the words in the left column with the words in the right one, they can be used more than once.

Adjectives

Nouns

1 appreciable a relationship
2 consistent b under pressure
3 curved c behaviour
4 deformation d path
5 dynamic e error
6 lesser f units
7 linear g sense
8 opposite h static relationship
9 spring i change
10 static j deformation
    k under compression

 

Ex.9. Match the terms and their definitions. Compose 5 sentences with any of them.

 

1 compress a happening or existing as a result of smth
2 deformation b  make smth bigger or looser by pulling it or to become bigger or looser as a result of being pulled
3 resultant c difficult to move, bend or turn
4 spring d tightness or stiffness in a wire, rope, muscle
5 stiff  (adj) e press smth so that it takes up less space
6 stretch f able to be changed, likely to change often
7 tension g a change in the usual shape of smth, especially one that makes it worse
8 variable (adj) h a twisted piece of metal, that will return to its previous shape after it has been pressed down

 

Ex.10. Complete the following table:

 

Noun Verb Adjective
deformity    
    compressible
  vary  
attachment    
  stiffen  
    relaxed
relationship    
  constrain  

 

Ex.11. Join two simple sentences into one complex with the help of the following words making some changes if necessary:

So as, so that, so, if,   because,  as,  on the other hand,  that is why.

1. a) We may incorporate the results of these integra­tions directly into the governing equations of motion.

b) It be­comes unnecessary to solve directly for the acceleration.

2. a) Work is positive.

b) The working component Ft is in the direction of the displacement.

3. a) Work is a scalar as given by the dot product.

b) Moment is a vector as given by the cross product.

4. a) The body is moved by a force P.

b) The spring is stretched or compressed a distance X 

5. a) The force exerted by the spring on the body is in the sense oppositeto the displacement.

b) The spring does negativework on the body.

6. a) The expression F ═ kx is true only when elements of the spring have no acceleration.

b) The expression is actually a static relationship.

7. a) Dynamicbehavior of a spring when its mass is accounted for is a fairly complex problem.

b) Dynamicbehavior of a spring will not be treated here.

8. a) The linear static relationship will not involve appreciable error.

b) The mass of the spring is small compared with the masses of other accelerating parts of the system.

 

Unit 15.

 



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