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Function x=Asin^(2)omegat+Bcos^(2)omegat...

Function `x=Asin^(2)omegat+Bcos^(2)omegat+Csinomegatcosomegat` represents SHM

A

for any value of `A,B` and `C` (except `C = 0`)

B

If `A = -B,C = 2B`, amplitude `= |Bsqrt(2)|`

C

If `A = B : C = 0`

D

If `A = 6 : C = 2B`, amplitude `= |B|`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`x = A((1 - cos2omegat))/(2) + B ((1 + cos2omegat))/(2) + (C)/(2) sin 2omegat`
Choose different combination of `A, B` & `C` to get linear combination of `sin` & `cos` functions.
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RESONANCE ENGLISH-SIMPLE HARMONIC MOTION -Exercise- 3, PART - I
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  2. A simple pendulum has time period T1. The point of suspension is now m...

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  3. A block is performin SHM of amplitude 'A' in vertical direction. When ...

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  4. Function x=Asin^(2)omegat+Bcos^(2)omegat+Csinomegatcosomegat represent...

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  5. A uniform thin cylindrical disc of mass M and radius R is attached to ...

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  6. A uniform thin cylindrical disc of mass M and radius R is attached to ...

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  7. A uniform thin cylindrical disc of mass M and radius R is attached to ...

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  8. The acceleration a of a particle undergoing SHM is shown in the figure...

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  9. A uniform rod of length l and mass M is pivoted at the centre. Its two...

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  10. The mass M shown in figure ocillates in simple harmonic motion with am...

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  11. When a particle of mass m moves on the x-axis in a potential of the fo...

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  12. When a particle is mass m moves on the x- axis in a potential of the f...

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  13. When a particle is mass m moves on the x- axis in a potential of the f...

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  14. A metal rod of length 'L' and mass 'm' is pivoted at one end. A thin d...

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  15. Phase space diagrams are useful tools in analyzing all kinds of dynami...

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  16. Phase space diagrams are useful tools in analyzing all kinds of dynami...

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  17. Phase space diagrams are useful tools in analyzing all kinds of dynami...

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  18. A point mass is subjected to two simultaneous sinusoidal displacement ...

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  19. A small block is connected to one end of a massless spring of un-stret...

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  20. A particle of mass m is attached to one end of a mass-less spring of f...

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  21. Two independent harmonic oscillators of equal mass are oscillating abo...

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