A straight rod has one end at the origin and the other end at the point (L,0) and a linear density given by λ=ax^2, where a is a known constant and x is the x coordinate. Since this wire is not uniform, you will have to use integration to solve this part. Use M=∫L0dm to find the total mass M. Find xcm for this rod. Express your answer in terms of one or both of a and L.

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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).