Two different types of rubber are found to have the stress-strain curves shown below in the figure below.
(i) In which significant ways do these curves differ from the stress-strain curve of a metal wire.
(ii) A heavy machine is to be installed in a factory. To absorb vibrations of the machine, a block of rubber is placed between the machinery and the floor. Which of the two rubbers A and B would you prefer to use for this purpose? Why?
(iii) Which of the two rubber materials would you choose for a car tyre?
Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM
(i) The curves differ as regards the following points :
(a) The linear portions of the curves being smaller, Hooke's law is not obeyed even for small stress.
(b) There is no permanent strain even for large stresses.
(c) The elastic region is larger in the present curves.
(d) During unloading, the same curve is not retraced in the present case.
(ii) We should use rubber B to absorb vibrations of the machinery. It is because of larger area of the curve that greater amount of vibrational energy can be dissipated.
(iii) We should use rubber A for making car tyres. Because the work done in case rubber A is lesser (lesser area of the curve), hence the car tyres of this rubber will not get excessively heated.
Answered by | 4th Jun, 2014, 03:23: PM
- What is hooks law of physics?
- What is a perfectly plastic body?
- What do you mean by the elastic limit?
- What is elastic fatigue?
- What do you mean by stress? Is it scalar or vector?
- What do you mean by normal stress?
- State Hooke's law. Is it the fundamental law of elasticity?
- Plot stress vs strain curve for a metal. On the graph depict: (i) Yield point (ii) Fracture point (iii) Proportional limit (iv) Permanent set.
- The stress-strain graph for a metal wire is shown in the figure. Up to the point E, the wire returns to its original state O along the curve EPO, when it is gradually unloaded. Point B corresponds to the fracture of the wire. (i) Up to what point on the curve is Hooke's law obeyed? This point is somtimes called the "Proportional Limit". (ii) Which point on the curve corresponds to the 'elastic limit' or 'yield point' of the wire? (iii) Indicate the elastic and plastic regions of the stress-strain graph. (iv) Describe what happens when the wire is loaded up to a stress corresponding to the point A on the graph, and then unloaded gradually. In particular, explain the dotted curve. (v) What is peculiar about the portion of the stress-strain graph from C to B? Up to what stress can the wire be subjected without causing fracture?
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