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Show that a linear combination of sine a...

Show that a linear combination of sine and cosine function like `x(t)=a sin omegat+b cos omegat` represents a simple harmonice. Also, determine its amplitude and phase constant.

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Show that a linear combination of sine and cosine function like x(t)=a sin omegat+b cos omegat represents a simple harmonic. Also, determine its amplitude and phase constant.

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Function x=Asin^(2)omegat+Bcos^(2)omegat=Csinomegat cos omegat represents simple harmonic motion,

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Equations y_(1) A sinomegat and y_(2) = A/2 sin omegat + A/2 cos omega t represent S.H.M. The ratio of the amplitudes of the two motions is

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SL ARORA-OSCILLATIONS-Example
  1. What is meant by simple harmonic motion ? Give some examples.

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  2. State some important features of simple harmonic motion.

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  3. Show that a linear combination of sine and cosine function like x(t)=a...

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  4. Deduce an expression for the velocity of a particle executing S.H.M. W...

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  5. Deduce an expression for the velocity of a particle executing S.H.M. W...

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  6. A simple harmonic motion is represented by x=10sin(20t+0.5). Write...

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  7. A particle executes SHM with a time period of 2s and amplitude 5 cm. F...

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  8. A particle executes SHM with a time period of 2s and amplitude 5 cm. F...

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  9. A particle executes SHM with a time period of 2s and amplitude 5 cm. F...

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  10. A body oscillates with SHM according to the equation x(t)=5cos(2pit+...

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  11. A body oscillates with SHM, accroding to the equation, x=(5.0m)cos[(2p...

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  12. A body oscillates with SHM, accroding to the equation, x=(5.0m)cos[(2p...

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  13. A body oscillates with SHM, accroding to the equation, x=(5.0m)cos[(2p...

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  14. The equations of simple harmonic motin is given by y=3sin5pit+4cos5p...

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  15. A particle executes S.H.M. of amplitude 25 cm and time period 3 s. Wha...

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  16. The shortest distance travelled by a particle executing SHM from mean ...

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  17. The time-period of a simple pendulum is 2 s and it can go to and fro f...

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  18. A particle executes SHM of time period 10 seconds. The displacement o...

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  19. A particle executes SHM of time period 10 seconds. The displacement o...

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  20. In a HCI molecule, we may treat Cl to be of infinite mass and H alone ...

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