### Mechanical Properties of Matter

goals
The Bulk of Ethanol, Mercury and water are given as $0.9, 25$ and $2.2$ respectively in units of $10^8 Nm^{-2}.$ For a given value of pressure, the fractional compression in volume is $\triangle V/V$. Which of the following statements about $\triangle V/V$ for these three liquids is correct?
Define elasticity.
A thin rod of length $\ell$ and mass m is suspended horizontally by two vertical strings, A & B, one attached at each end of the rod. The density of the rod is given by $\rho (x)=$${{\rho _ 0}(x/\ell )^ 3}$ where x = 0 corresponds to the position of string A. Give your answer in terms of m, $\ell$ and g.
The Hooke's law defines
A bar made of material whose Young's modulus is equal to $E$ and Poisson's ratio to $\mu$ is subjected to the hydrostatic pressure $p$.