The document discusses forced oscillations and resonance, explaining the concept of free oscillation as the natural movement of a system without external forces. It details how applying a driving force can create resonance, resulting in maximum amplitude when the driving frequency matches the system's natural frequency. The document also touches on the characteristics of driven oscillations and their energy absorption efficiencies.

1. FORCED OSCILLATIONS AND
RESONANCE

2. ABOUT ME
CONTACT INFO
Tel: (+92) 322 7967172
E-Mail: abubakarmehmood786@yahoo.com
SKILLS & LANGUAGE
ORIGIN LAB, VIRTUAL LAB, ENDNOTE
SOFTWARE, EMATHHELP SOFTWARE ,
MICROSOFT OFFICE, ADBOBE
(PHOTOSHOP & ILUUSTRATOR),
ARDUINO SOFTWARE, AMAZON VITUAL
ASSISTAN, VIDEO EDITTING, SOCIAL
MEDIA ACCOUNT MANAGEMENT
URDU, PUNJABI, ENGLISH, ARABIC
FOUNDER
UCQxAo-GBHUI2l9_LBYicsRw
THE CREATOR ACADEMY
thecreatorsacademyofficial
thecreatorsacademyofficial
The Creators Academy
ABU BAKAR
NATIONALITY : PAKISTAN
CITY : SIALKOT, PUNJAB
MARITAL STATUS : SINGLE
PERSONAL PROFILE
BS(HONS) PHYSICS
UNIVERSITY OF SIALKOT
EDUCATION
SOCIAL MEDIA
Abubakar Bhutta
@_abubakar786
ABU BAKAR
@abubakar786786
ABUBAKAR692909

3. FREE
OSCILLATION
• Definition of free oscillation: the oscillation of a body or
system with its own natural frequency and under no
external influence other than the impulse that initiated the
motion
• called also free vibration
• opposed to forced oscillation

4. FORCED
OSCILLATIONS
AND
RESONANCE
• Suppose now that instead of allowing our system to
oscillate in isolation we apply a "driving force". For
example, in the case of the (vertical) mass on a spring the
driving force might be applied by having an external force
(F) move the support of the spring up and down.
• Wd is the (angular) frequency of the driving force.
• the amplitude of these oscillations, B, depends on the
parameters of the motion,W,Wd,m,b,F
• The amplitude, B, has a maximum value when
W=Wd. This is called the resonance condition.

5. NATURAL
FREQUENCY,
DRIVEN
OSCILLATIONS,
AND
RESONANCE
 The oscillation frequency f of a system undergoing simple harmonic
motion (e.g., spring+mass or pendulum) is said to be that system’s
natural frequency.
 If we apply an external, oscillating force that serves to “drive” the
system at some driving frequency fd, then the system is able to
absorb energy via the work done by the driving force.
 The condition known as resonance is associated with the state that
maximizes the efficiency of energy transfer from the driving force to
the system. Resonance occurs when the driving frequency
matches the system’s natural frequency.

6. THEORETICALLY