Find out the final extension and the work done, Mechanical Engineering

Find out the final extension and the work done:


 (i) A spring of stiffness 4 N/cm of extension is extended steadily yet the force of 20 N is reached. Find out the final extension and the work done to cause this extension.

(ii) If the extension is further to be enhanced by 20%, how much additional work is necessary. What is the ultimate magnitude of force needed to achieve this.


Stiffness (K) of a spring is described as force required to cause unit deflection. Therefore, if s1 is the deflection under a force F1

∴ Stiffness = F1/ s1 = tan θ

∴ 4 = 20 /s1


s1 = 20 /4= 5 cm

 (i)        W. D. on spring to cause extension s1 = Area of Δ Os1 A

= (20 × 5) /2 = 50 N-cm.

Further 20% extension beyond s1 = 0.2 × 5 = 1 cm

s1  s2  = 1 cm

s2 = Total Extension = Os2 = 6 cm

∴ F2 = Stiffness × 6 = 24 N.

 (ii)       Additional WD from s1 to s2 = Area of trapezium As1 s2 B

=( (F1 + F2 )/2 ) × s1  s2

= ((20 + 24)/2) × 1= 22 N-cm.

Posted Date: 1/29/2013 7:10:10 AM | Location : United States

Related Discussions:- Find out the final extension and the work done, Assignment Help, Ask Question on Find out the final extension and the work done, Get Answer, Expert's Help, Find out the final extension and the work done Discussions

Write discussion on Find out the final extension and the work done
Your posts are moderated
Related Questions
Find out its centre of gravity: A square plate of uniform thickness and density is bent along M 1 M 2 till corner C coincides along with centre C′. Find out its centre of gr

Submerged Arc Welding   Single pass filler welds upto (8.0 mm) maximum and groove welds made with a single pass or a single pass each side, may be made using an E7os-x elect

Classification of Cast Iron: CI having C in form of cementite is named as white cast iron. Microstructure of that CI consists of pearlite, cementite and ledeburite. Whether C

Q1. A short vertical column consists of a channel section with the dimensions shown in Figure 1(a). The column (part of a system used to support a machine) carries a compressive p

What can a valve do?  It can prevent flow (on/off), allow variable control of the flow and provide a safe working environment. What sort of questions should we be asking when selec

Describe the modes of failure in bearing capacity. Modes of Failure: Behaviour of foundations subjected to load based on actual observations suggests that the bearing capaci

The  impeller driveshaft  can either be top driven or bottom driven. Again there are advantages of each and the choice often varies with scale of operation: (a) Top driven (labo

These are differentiated from hoists by the fact that the operator rides with the load. There are many different types of drives for such elevators but in general electric

what is equilibrium of rigidity?

(a) What are the different types of clutches used in modern automobiles? With the help of neat and clean diagram describe the functioning of a diaphragmspring clutch. (b) Explai