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Understanding Hooke's Law: The Foundation of Elasticity| Chapter 5 Physics 9th

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

Difference between Translatory, Rotatory and Vibratory Motion And Some basic Concept that define Motion

 Difference Between Translatory, Rotatory and Vibratory Motion



Difference between translatory, rotatory and Vibratory motion

Some Basic Concepts that Define Motion

Distance: 

  •  The total length covered by a body without mentioning the direction, is called Distance.
  • Its unit is Meter.
  • It is Scalar Quantity.

Displacement:

  • The distance measured in a particular direction is said to be Displacement.
  • Its Unit is Meter.
  • It is a vector quantity.

Speed:

  • Speed of an object determines how fast the object is moving.
  • The rate of change of the position of an object is called Speed.
  • It is a Scalar quantity.
  • Its Unit is meters/seconds.
  • It can be calculated as:
    Formula of speed
  • If the body covers equal distance in equal interval of time its speed is said to be Uniform Speed.
  • If a body doesn't cover equal distance in equal interval of time, then its speed is said to be Variable Speed.

Velocity:

  • Velocity means the speed of an object in an specified direction.
  • It is the rate of change of displacement with respect to time.
  • It is a vector quantity.
  • Its unit is meters/seconds.
  • It can be calculated as;
    Velocity

  • If the body covers equal distance in a particular direction in equal interval of time, it is said to be Uniform Velocity. 
  • If the body doesn't covers equal distance in a particular direction in equal interval of time, it is said to be Variable Velocity. 

Acceleration:

  • An object acquires acceleration when its velocity gets change.
  • The rate of change of velocity with respect to time is termed as Acceleration.
  • It is a Vector quantity.
  • Its unit is meters/second^2.
  • It can be calculated as;
    Acceleration
  • acceleration
  • When velocity of an object increases or decreases with passage of time, it causes acceleration. 
  • The increase in velocity gives rise to positive acceleration. 
  • It means the acceleration is in the direction of velocity.
  • Whereas acceleration due to decrease in velocity is negative and is called deceleration or retardation
  • The direction of deceleration is opposite to that of change velocity.
  • A body has uniform acceleration, if the velocity of body changes by an equal amount in every equal time period.

  • A constant rate of change of velocity with respect to time is called Uniform Acceleration.
  • Uniform acceleration calculation;
    Acceleration



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