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Simple
Harmonic
Motion
BY:
 Muhammad Adeel
For More Detail:
https://chauhantricks.blogspot.com/
CONTENTS
 Simple Harmonic Motion
 Examples of SHM
 Mass Spring System
 Simple Pendulum
 Factors
 In daily Life
What is SHM.
 A motion in which acceleration is directly
proportional to the displacement and is
directed towards the mean position
 a ∝ x
 a ∝ -x
Examples Of SHM
 Horizontal Mass Spring System
 Simple Pendulum
Horizontal Mass Spring
System
 Let we consider a mass spring system.
One side of spring attached with hard rigid
body and other side with mass “ m ”.
Hook’s Law
 Force that is applied to spring is directly
proportional to the displacement.
 If the spring is un stretched, there is no net
force on the mass or the system is in
equilibrium.
 If the mass is displaced from equilibrium,
the spring will exert a restoring force, which
is a force that tends to restore it to the
equilibrium position.
F = -kx
Prove…
Simple Pendulum
 Consider we have a string (Not Flexible)
with attached with a mass “ A “. And other
side with a hard rigid body.
 When pulled to one side of its equilibrium
position A to the position B through a small
angle θ and released, it starts oscillating to
and fro over the small
Factors OF SP
 Oscillation
 Equilibrium position
 Amplitude
 Time Period
 Frequency
Oscillation
 OSCILLATION IS THE TO AND FRO MOTION
OF THE PENDULUM ABOUT A FIXED POINT.
 THE BOB COMPLETES ONE OSCILLATION
WHEN IT SWINGS FROM ‘O’ TO ‘B’ THEN
TO ‘A’ AND RETURNS TO ‘O’.
A BO
 Equilibrium Position: When the pendulum is
at rest ,it is said to be in equilibrium .The
position of the pendulum at rest
 Amplitude: The maximum displacement of the
bob from the equilibrium position.
 Time Period: The time taken for complete one
oscillation
 Frequency: Frequency is the number of
oscillations per second
A BO
Prove...
In Daily Life
 Rubber band
 Clock
 Spring
 Breathing
Simple Harmonic Motion - With Examples and Questions

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Simple Harmonic Motion - With Examples and Questions

  • 2. BY:  Muhammad Adeel For More Detail: https://chauhantricks.blogspot.com/
  • 3. CONTENTS  Simple Harmonic Motion  Examples of SHM  Mass Spring System  Simple Pendulum  Factors  In daily Life
  • 4. What is SHM.  A motion in which acceleration is directly proportional to the displacement and is directed towards the mean position  a ∝ x  a ∝ -x
  • 5. Examples Of SHM  Horizontal Mass Spring System  Simple Pendulum
  • 6. Horizontal Mass Spring System  Let we consider a mass spring system. One side of spring attached with hard rigid body and other side with mass “ m ”.
  • 7. Hook’s Law  Force that is applied to spring is directly proportional to the displacement.  If the spring is un stretched, there is no net force on the mass or the system is in equilibrium.  If the mass is displaced from equilibrium, the spring will exert a restoring force, which is a force that tends to restore it to the equilibrium position. F = -kx
  • 9. Simple Pendulum  Consider we have a string (Not Flexible) with attached with a mass “ A “. And other side with a hard rigid body.  When pulled to one side of its equilibrium position A to the position B through a small angle θ and released, it starts oscillating to and fro over the small
  • 10. Factors OF SP  Oscillation  Equilibrium position  Amplitude  Time Period  Frequency
  • 11. Oscillation  OSCILLATION IS THE TO AND FRO MOTION OF THE PENDULUM ABOUT A FIXED POINT.  THE BOB COMPLETES ONE OSCILLATION WHEN IT SWINGS FROM ‘O’ TO ‘B’ THEN TO ‘A’ AND RETURNS TO ‘O’. A BO
  • 12.  Equilibrium Position: When the pendulum is at rest ,it is said to be in equilibrium .The position of the pendulum at rest  Amplitude: The maximum displacement of the bob from the equilibrium position.  Time Period: The time taken for complete one oscillation  Frequency: Frequency is the number of oscillations per second A BO
  • 14. In Daily Life  Rubber band  Clock  Spring  Breathing