Hooke's law
Hooke's law is one of the laws affiliated with physics, specifically mechanics and the properties of materials. The law was derived from an experiment that was named after the law, while the name was also named in honor of the English scientist Robert Hook who deduced it in 1676 AD. Hook sought to show the relationship between applied forces The spring and its elasticity, and Hooke's law is the first classic law that explains flexibility and the ability of bodies to return to their original shape, and the law expresses the relationship between the force affecting the elastic bodies and the change in their length, and the flexibility of the objects that experience applied to it means that these materials have the ability to return to their basic form After being subjected to deformation by the force applied to it, the deformation is by changing the size or length of the objects, and the law states that the amount of change in length is directly proportional to the amount of force acting in the spring, and the text has another formula which is that the force needed to pull or compress the spring from a certain distance is directly proportional to With that distance, the law has several applications, such as: [1]
Mechanical watch.
Balance wheel.
Manometer device.
Seismology.
Phonetics.
Some engineering sciences.
Hawke's experiment in the laboratory
To implement the Hawke's law experiment in any physical laboratory, we need the following tools: [2]
Stopwatch.
A helical spring has two hooks at the end.
A group of heavyweights known to weigh.
Metric ruler.
Fixed stand.
To carry out the experiment in practice, we follow the following steps: Hanging the spring vertically and hanging from the fixed stand.
Using the ruler, the initial reading of the spring is taken without any weight on it, and this reading expresses the basic length of the spring, i.e. 1.
A first block is placed on the spring in the counterweight, and a new reading of the indicator is taken, then using a ruler to determine the amount of elongation of the spring.
Repeats the weights to the weight block, with their values, the spring values and the amount of elongation that occurs each time.
The results and readings are arranged in a table, then graphically represented, with the force readings placed on the x-axis and elongation on the y-axis. The shape of the curve should be a straight line, and its slope is equal to the force constant a.
The formulation of Hooke's law
algebraically expresses Hook's law mathematically according to the following law: s = a * (l-2-l1); The symbol s expresses the influential force that changes the dimensions of the body and is measured in units of newton, and the symbol a is the constant force, which is measured in units of newton per meter, and the difference in the symbols L1 and L2 is an expression of the displacement between the position of the new body and its original position; That is, for 1 is expressed as the basic length, for 2 the length is expressed after expansion, or according to the following law: s = kx; As s is the force of restoration or the deformed force of the body, and k is the elastic elasticity and is measured in units of newton per meter, and x is the difference between the position of the new object and its original location, whether it is elongated or compressed.
