HOOKE'S LAW Introduction In physics, Hooke's Law is one of the fundamental principles governing how objects deform under external forces . Named after the 17th-century British physicist Robert Hooke, this law provides a crucial understanding of the behavior of elastic materials, such as springs and rubber bands. Whether stretching a rubber band or compressing a spring, Hooke's Law helps explain what happens when forces act on these materials. What is Hooke's Law: Hooke's Law states that the force F needed to extend or compress a spring by some distance x is proportional to that distance. Mathematically, it is expressed as: F= -kx Here k represents the spring constant, which is the measure of the stiffness of the spring, and x is the displacement from the displacement position. The negative sign indicates that the force exerted by the spring is in the opposite direction of the displacement. Understanding the Spring Constant: The spring constant k is a critical co...
Determination of Force from its Rectangular Components | Chapter 4 Turning Effect of Forces| 9th Physics
DETERMINATION OF FORCE FROM ITS RECTANGULAR COMPONENTS
In this method, we are going to find the resultant force, its direction and the magnitude, when its rectangular components are given.
Consider the figure given above. Let Fx and Fy are the rectangular/perpendicular components of the force F.
Applying Head-to-Tail Rule we get,
OR = OP + PR
Since,
OR =F
OP= Fx
PR= Fy
so,
F = Fx + Fy
For Magnitude of Force:
Applying Pythagoras theorem to the above figure we get,
Taking Square root on both the sides.
For Direction:
The direction of the force (F) with the x-axis can be found as,
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