- - spring;
- - line;
- - the goods;
- - handle;
- - book;
- - Calculator.
Please note that during the deformation of the spring a force that tends to restore the original size and shape of the body.This force is due to electromagnetic action arising between the atoms and molecules of matter, which is made from a spring.This force is called the elastic force.The simplest form - deformation of tension and compression.
Attach one end of the vertical spring , the second is its end remains free.Then a ruler, measure the length of the spring : record the result in a
notebook, denoting its x1.
Hang the free end of the spring stogrammovy cargo and re-measure its length.Resulting in the measurement result in the record book, designating it x2.
Calculate the absolute extension of the rod, which represents the difference between x1 and x2.At low tension or compression spring elastic force is proportional to the strain: it is directed in the opposite direction from the movement of particles in the body during deformation.That is, Fupr = | kx |, where k is the stiffness coefficient .This ratio expresses the essence of Hooke's law.So, to find the ratio of stiffness spring , should body tensile force divided by the elongation of the spring .
Not knowing what is the tensile force of the spring , it is impossible to calculate the coefficient of stiffness , so take the tensile force.The strength of the elasticity or tension balances the force of gravity acting on the suspended load.This force arises solely by deformation of the body.So Fupr = - N = -mg.It follows that mg = kx.So, k = mg / x.Substitute known values into the formula and calculate the ratio of stiffness spring .
Tip 2: How to find the stiffness coefficient
rigidity - is the ability to design parts or counteract the enclosed external power as possible while maintaining its geometrical parameters.The main characteristic stiffness - factor stiffness .
- - spring spring;
- - loads with a certain weight;
- - line;
- - book for records;
- - Calculator.
Imagine that you have decided to build their own hands Trucks for bike or car, to take out the garbage from the yard, bring the field crops and so on.It is desirable that the truck was on its springs.If you have a spring suspension, and you know their factor stiffness , you can calculate how much weight they can carry the load. stiffness ratio also can be calculated empirically.
different springs are designed to work on compression, tension, torsion or bending.At school, children are taught lessons of physics determine the coefficient stiffness of the spring working in tension.For this tripod spring suspended vertically in a free state.One of the students with a ruler measures the length of it.And the result is written in a notebook as L 1 = ...
then to the lower end of the suspended load a certain weight, for example, 0.1 kg.It acts on the spring, stretching it with a force 1Nyuton (1H).Teammate measures the resulting length of the stretched spring.Display L 2 is, of course, is great, as is written in the book as L = 2 ... simple arithmetic L 2 - L 1 = is the value of stretching L.
By lawHooke: F Ex.= KL.Therefore, to find elastic coefficient (k), it is necessary to stretch the spring force (F) divided by the amount of elongation (L).k = F / L.
to empirically determine coefficient of elasticity you harvested for truck springs, it will have to compress.This work is much more complicated performed in the school laboratory.First, measure the length of the spring in the free state and record the result (L 1).
Install the spring vertically into any sleeve, leaving free a small top.Take a certain load, for example, the weight gymnastic 16, 24 or 32 kg.Install it on the upper end of the spring and mark on the sleeve or directly measure the line length of the compressed spring (L 2).Carefully remove the weight.
Calculate the value of L as the difference: L 1 - L 2. Substitute values in an already well-known formula k = F / L.Pick the formula F = kL permissible weight of cargo, based on the amount of compression of the spring.
exercise maximum caution when working with the spring.She was trying to straighten up, at any time can "shoot" in an unpredictable direction and cause injury.
Remember, the value introduced into the formula should be translated into SI.
the spring constant is dependent on the material from which made this body, as well as spring length and shape.
- Hooke's Law