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forced oscillations and resonance

Forced Oscillations: Resonance. Forced oscillations occur when an oscillating system is driven by a periodic force that is external to the oscillating system. In such a case, the oscillator is compelled to move at the frequency u03bdD = u03c9D/2u03c0 of the driving force. ... The period TN of his oscillation is equal to 1/u03bdN.

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forced oscillations and resonance

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  1. Forced Oscillations and Resonance

  2. ABOUT ME ABU BAKAR NATIONALITY : PAKISTAN CITY : SIALKOT, PUNJAB MARITAL STATUS : SINGLE Tel: (+92) 322 7967172 E-Mail:abubakarmehmood786@yahoo.com CONTACT INFO PERSONAL PROFILE THE CREATOR ACADEMY thecreatorsacademyofficial The Creators Academy thecreatorsacademyofficial BS(HONS) PHYSICS UNIVERSITY OF SIALKOT UCQxAo-GBHUI2l9_LBYicsRw FOUNDER EDUCATION 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 ABUBAKAR692909 @abubakar786786 Abubakar Bhutta @_abubakar786 ABU BAKAR SOCIAL MEDIA SKILLS & LANGUAGE

  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.  • Wdis 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 whenW=Wd.  This is called the resonance condition. 

  5. Natural frequency, driven oscillations, and resonance • The oscillation frequencyf of a system undergoing simple harmonic motion (e.g., spring+mass or pendulum) is said to be that system’snatural frequency.    • If we apply an external, oscillating force that serves to “drive” the system at some driving frequencyfd, then the system is able to absorb energy via the work done by the driving force.   •  The condition known asresonanceis 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

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