lecture 5 tkn

7/25/2019 Lecture 5 Tkn

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TUTORIAL CLASS STARTS IN THIS WEEK

ar a a ac aryaFri. 3:00 3:55 PM NC344 IV - 31

Fri. 4:00 4:55 PM NC344 V - 31SPH (Suparna Hazra)

Fri. 3:00 3:55 PM NR124 IV -31

.TPM (Triparna Mandal)

. -

Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India

http://www.cts.iitkgp.ernet.in/~phy1/Fri. 4:00 4:55 PM NC343 V -30

Dr. T. K. Nath


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Overdamped


http://www.cts.iitkgp.ernet.in/~phy1/

Dr. T. K. Nath


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g amp ng



Dr. T. K. Nath


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xamp e


http://www.cts.iitkgp.ernet.in/~phy1/Dr. T. K. Nath


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r ca amp ng




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o u on




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Solution 2

e




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ummary




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SHO with an additional external force






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our er er es

For an arbitrar time var in force




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o u on us ng our er er es

Find solution for a single frequency

uperpose so u ons




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e equa on

where

Particular Integral




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ar cu ar n egra




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mp u e an ase




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ow requency esponse




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g requency esponse




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Forced Oscillations

Effect of Damping

= +Particular Integral




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o u ons

Complementary Functions are transients

Particular Integral




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o u on w amp ng




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mp u e an ase aga n




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0 4)( S

22

0

2

0)]2([

0

The function Shas minimum at

22

0 2




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mp u e an ase aga n

-




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ome ey o n s

High frequency and low frequency

Amp tu e s n te t roug out

Maximum Amplitude at




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Avera e Ener



Dr. T. K. Nath, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India


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amp ng

Maxima at




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Mild Dam in

Maxima at

Energy falls rapidly away from the peak

In the vicinity of Resonance -

k

Lorentzian Profile




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verage nergy o




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FWHM (Full width at half maximum)


k0,

FHWM=




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22 1)(

kffkE

00 222

== ==




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owerPower drawn b the Oscillator from the external force




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Avera e Power

Using




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mp u e an ase aga n




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verage ower




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Mild Dam in

Lorentzian Profile




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verage ower



lecture 5 tkn

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