Problem 8.8 A force with varying magnitude Fx is applied on an object and the displacement of the object is recorded in terms of x. The applied force is then plotted as a function of displace- ment and the curve shown in Fig. 8.23 is obtained. It is observed that between x = 0 and x = 9 m, the force is proportional to the square root of displacement: F. 18 12 Fx = c/x Here, Fx is measured in Newtons and x in meters, and the constant of proportionality between Fx and x is estimated to be c = 6. 0. 4 8. Fig. 8.23 Problem 8.8 Determine the work done by F, on the object to move the object from: (a) x = 0 to x = 4 m (b) x = 0 to x = 9 m (c) x = 4 to x = 9 m Answers: (a) 32 J, (b) 108 J, and (c) 76 J

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).