Plastic Region[ edit ] In this region between points 2 and 3the rate at which extension is increasing is going up, and the material has passed the elastic limit - it will no longer return to its original shape when the load is removed, and will no undergo plastic permanent deformation.
Are you sure you want to delete this answer? Yes Sorry, something has gone wrong. Yes, it would work, but it would be more difficult to interpret the results.
In cases of tension or compression, the modulus of elasticity is Young's modulus. Named after English physicist Thomas Young (), Young's modulus is simply the ratio between F / A and δ L / L o — in other words, stress divided by strain. Student investigation This investigation is based on the centre of percussion of an object. Suspend a metre ruler by hanging it on a matchstick passed through a hole at the 5 cm mark. Now strike the ruler a sharp blow with a hammer two thirds of the way down. Elastic Modulus The Elastic or Young's modulus (E) describes tensile elasticity, or the tendency of an object to deform along an axis when opposing forces are applied along that axis; it is defined as the ratio of tensile stress to tensile strain.
In the experiment, you are using the stiffness of the ruler as it bends, to act like a spring. There are two masses in the system, the mass M and the mass of the ruler itself. Actually, because different parts of the ruler move different amounts as it bends, the effective mass of the ruler is less than its actual mass.
When you know m, you can find the stiffness of the ruler k, and then find E using the formula for the stiffness of a cantilever beam in bending.
If you do the experiment by moving the position of M, it is harder to interpret the results, because the effective mass of the ruler changes in a more complicated way.
The ruler only bends up to the point where M is attached. The part of the ruler beyond that point is almost straight, and it not only vibrates up and down but also rotates as the slope of the ruler changes.
Because the vibrating shape of the ruler changes, its effective mass also changes. There is no problem in principle calculating all those effects, and if you have computer software for stress and vibration analysis it is easy enough to do it in practice, but it is a more complicated than using different masses at the same place on the ruler.We will write a custom essay sample on Measuring Young’s Modulus of Copper specifically for you for only $ $/page.
Young’s modulus, where F is the tension in the wire and A is the cross-section area. Since and. Fixed the metre ruler by another G-clamp so that measurement of the extension can be more accurate.
2. In order to. May 26, · i need help designing an experiment for determining young's modulus of a meter rule. it came out in a level physics paper 5 we were given a diagram showing a ruler clamped to a fixed point. the opposite end of the ruler is loaded with a mass M and the time period for 10 oscillations is to be noted.
Instead of varying magnitude of M, i Status: Resolved. The Young’s Modulus Apparatus is a bench top model designed to understand and to determine the Young’s Modulus of given material sample(s).
It consists of an epoxy coated steel reaction frame complete with a meter long linear scale. EXPERIMENTAL PROJECT The Elastic Properties of a Wooden Metre Ruler When you have investigated elastic materials, that is materials that can be stretched where and E is the Young’s modulus for the wooden ruler, obtain a value for E.
The equation for Young’s modulus is therefore; E= σ/ε Where E is the Young’s Modulus, σ is tensile stress and ε is the tensile strain on the material. We can also look at the equations for the stress and strain of a material to find a more detailed equation for the Young’s modulus.
How accurately a measurement of the Young's modulus can be made depends upon the accuracy to which Mg, mg, y, L, b and d can be measured.
A classroom ruler might only measure y, b and d to the nearest millimeter.