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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 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,

 Friction Before discussing what is Friction? Lets consider a scenario, suppose you are continuously paddling a bicycle, but when you stop paddling the cycles got stopped after covering some distance. Do you know why is that so? Naturally there must be some force that stops the moving objects. The Force not only helps the objects to move it also stops the moving objects. On the other hand, suppose you kick a ball after covering a distance it got stopped. Why it got stopped? In both the cases two forces acting on both the bodies parallelly. One is Normal force (R) which is applied by you to move the object, and another is limiting force (Fs) which acts in opposite direction to stop the moving object. As we can observe in above figure, when a car is moving there are two forces acting on it.  1. R which is Normal Force applied by engine of the car. 2. Fs which is Limiting force it is frictional force which is opposing the normal force. Definition of Friction:     ...

 Centripetal Force A force that compels a body to move in the circular path is termed as Centripetal Force.  It is denoted by Fc. Derivation: Centripetal Force is directly proportional to the mass of the moving body. Centripetal force is directly proportional to the square of the velocity. Centripetal force is inversly proportional to the  radius of the circular path. Centripetal Acceleration The acceleration produced due to the centripetal force is known as Centripetal Acceleration.  It is denoted by ac. Derivation:            

 DIFFERENCE BETWEEN MASS AND WEIGHT

 Force And Momentum Force:             Force is an agent which produce distortion in the body.          Force is a Vector Quantity. Unit of Force:                         The unit of force is newton .                         It is denoted by N. Newton: Newton is  the force required to produce 1m/s^2 acceleration in boy of mass 1kg. Momentum:                         The momentum is the product of mass and velocity.                         Mathematically, it can be written as,                                        p=mv p =>...

 GRAPHICAL REPRESENTATION OF MOTION An object is said to be in the state of Motion if it changes its position with respect to its surroundings. In this article, I will be explaining, "How can we represent the motion of any object graphically?" Graphical Representation deals with the representation of any thing, lets say motion in our case on graph. Here we can also observe the relationship between two quantities plotted on x and y axes respectively. DISTANCE TIME GRAPH Distance time graph tells us the relationship of distance with the time.  How an object is changing its position such as speed with respect to the time. For representation of Distance and time relationship  consider an example: Figure 1: A car covering distances at different intervals of Time Figure 2: Different distance readings covered by the car at different intervals of time For example a car is moving and covering different distances at different intervals of time see figure 1 and 2. As we can observe ...

  Types of Motion As in previous article I have discussed about the basics of Kinematics, and also discussed about the concept of Rest and Motion. In this article I am going to give you the concept of types of Motion. So there are three types of Motion namely; 1. Translatory Motion 2. Rotatory Motion 3. Oscillatory Motion 1. TRANSLATORY MOTION When all the points of the body moves uniformly along the same straight line, such motion is known as Translatory Motion. For Example:                              A train moving straight on a track is an example of Translatory Motion.      Translatory motion is further classified into; (i) Linear Motion (ii) Circular Motion (iii) Random Motion (i) LINEAR MOTION:                                              ...

 KINEMATICS Mechanics is the branch of Physics, which deals with the study of motion of objects with or without the reference of force. It is divided into two branches: 1. Kinematics 2. Dynamics Kinematics deals with the motion of objects without the reference of the force. Such as: Motion of free fall body. Motion of a car on straight line. Dynamics on the other hand is the study of the motion of objects, with the reference of force. Such as: Motion of cars (Here we basically talk about the forces acting on an engine) Throwing of an object  (When we through an object the force acted/ applied by the muscle being discussed here.) REST AND MOTION A body is said to be in the state of rest, if it does not change its position with respect to its surroundings. For Example:                              When you are sitting in a bus and the bus is moving but you are not changing your position with res...

  Standard of Length, Mass And Time Standard: What is Standard why it is necessary to set a Standard while measuring any physical quantity? So basically before 160, different systems of units were established/introduced and almost every system of unit has different unit for the base quantities. For Example: In CGS the units for base quantities were like; Mass was measured in Grams. Length was measured in Centimeter. Time was measured in Seconds. In MKS the base quantities were measured by: Mass was measured in Kilogram. Length was measured in Meter. Time was measured in Seconds. And in FPS these base quantities were measured in: Mass was measured in Pound. Length was measured in Foot. So, there were difficulties whether which unit should be preferred for accurate measurement and therefore after 1960, International S.I stem of Units were introduced and 7 fundamental quantities were introduced with their standard Units. So, Standard is defined, " Standard in measurement is a priorit...

 IMPORTANCE OF PHYSICS IN SOCITY AND LIFE In the nineteenth century, physical science was divided into five distinct disciplines such as; Physics, Chemistry, Astronomy, Geology and Meteorology. The most fundamental of these is Physics.      The rapid progress in science during the recent years has become possible due to the discoveries and inventions in the field of Physics.     The technologies are the applications of scientific principles, most of the technologies of our modern society throughout the world are related to Physics. For Example A car is made on the principle of Mechanics. A refrigerator is based on the principle of Thermodynamics. In our daily life we hardly find a device where physics is not involved. Consider pulleys which are used to lift the heavy loads. Electricity which is not only converted into light and heat but also converted in Mechanical energy through which Motors and fans are operated. Consider the means of transportation such ...