Determination of the Mechanical and Optical Properties of an A4 Copy Paper Sample and Application in the Mechanics of the System of a Linear Second Order Ordinary Differential Equation

A white Α4 copy paper sample Q-Connect was tested for its tensile and optical properties as well as the fibre component of its pulp i.e., chemical pulp, using the optical microscope. Also, other substrate properties of the copy paper sample were determined i.e. tensile strength 0.32MPa in the machine direction and 0.11MPa in cross direction, tensile index 59.7KN.m/Kg (MD) and 19.7KN.m/Kg (CD), elongation at rupture 1.6% (MD) and 3.9% (CD), brightness 95%, grammage 81.8gsm, the band gap energy and finally application in the mechanics of the system of a linear second order ordinary differential equation was implemented on the dry paper strips used for determining its dry tensile strength. The band gap energy Eg for permitted indirect transitions was estimated as 1.16984469010026eV. The differential equation of the motion of the body was solved and the removal of the body at the moment t was found to be 0.01333*exp(-2.0*t)