# Mechanical properties of Solids

[Ls 8 - Physics - Sugeeth Notes - 11 A - 19-40-24.pdf](https://drive.google.com/file/d/1OqTARmcMUPyiHFZ_V295-T-HXLKlJaU0/view?usp=drivesdk)

[Solids - Sir Solutions.pdf](https://drive.google.com/file/d/1vy9FZPPqkyeTk99VSBQkfj-BhJ6UUH1_/view?usp=drive_link)

[MECHANICAL PROPERTIES OF SOLIDS - NOTES.pdf](https://drive.google.com/file/d/1mnqWWxQ-udjHwJFBCm_hjqxO2Vo_mC6I/view?usp=drive_link)

## Quick Overview

1. Stress (I.e. pressure on solids)
   * Normal Stress
   * Tangential Stress
2. Strain
   * Longitudinal Strain
   * Volumetric Strain
   * Shearing Strain (Tangential Strain)
   * Lateral Strain
3. Stress-Strain Curve
   * Proportionality Limit (Hooke’s Law)
   * Elastic Limit
   * Permanent Set
   * Maximum stress-strain point or Ultimate strength
   * Fracture Point
   * Ductile vs Brittle Metals
4. Hooke’s Law
5. Modulus of Elasticity
   * Young’s Modulus (Y)
   * Bulk Modulus (B)
   * Compressibility (K)
   * Modulus of Rigidity (eta)
6. Poisson’s Ratio (sigma)
7. Elastic Potential Energy (U)
8. $$\frac{U}{Volume} = \frac{1}{2} (Stress)(Strain)$$

## Questions

1. Two bodies of masses 2kg and 3kg are connected by a metal wire of cross section 0.04 $mm^2$. The whole system is placed flat on a horizontal surface. Breaking stress of metal wire is 2.5 GPa. Find the maximum force F that can be applied to 3kg block so that wire doe not break, and the acceleration of both the bodies.