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A simple harmonic motion is represented ...

A simple harmonic motion is represented by
`x=10sin(20t+0.5).`
Write down its amplitude, angular frequency, frequency, time period and initial phase if displacement is measured in metres and time seconds.

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AI Generated Solution

To solve the problem, we will analyze the given equation of simple harmonic motion (SHM) and extract the required parameters step by step. Given the equation of SHM: \[ x = 10 \sin(20t + 0.5) \] ### Step 1: Identify the Amplitude The amplitude \( r \) is the coefficient of the sine function in the SHM equation. - From the equation, we see that the amplitude \( r = 10 \) meters. ...
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Knowledge Check

  • A simple harmonic motion is represented by x(t) = sin^(2)omega t - 2 cos^(2) omega t . The angular frequency of oscillation is given by

    A
    `omega`
    B
    `2 omega`
    C
    `4 omega`
    D
    `omega/2`

  • A simple harmonic motion is represented by x(t) = sin^2 omegat - 2 cos^(2) omegat . The angular frequency of oscillation is given by

    A
    `omega`
    B
    `2 omega`
    C
    `4 omega`
    D
    `(omega)/2`

  • A simple harmonic motion is represented by : y = 5(sin 3pi t + sqrt(3) cos 3pi t)cm The amplitude and time period of the motion are :

    A
    `10 cm, (3)/(2)s`
    B
    `5 cm, (3)/(2)s`
    C
    `10 cm, (2)/(3)s`
    D
    `5cm, (2)/(3)s`
    • PRADEEP-OSCILLATIONS AND WAVES-PROBLEMS FOR PRACTICE
    1. A simple harmonic motion is represented by x=10sin(20t+0.5). Write...

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

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    3. A particle executes SHM of time period 10 seconds. The displacment of...

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    4. A body is vibrating with SHM of amplitude 15 cm and frequency 4 Hz. C...

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    5. A particle is moving in SHM in a straight line. When the distance of t...

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    6. A particle executes SHM of period 1.2 s and amplitude 8cm. Find the ti...

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    7. A particle executes SHM of amplitude 20cm and time period 2s. What is ...

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    8. A particle moving with SHM in a straight line has a speed of 6m//s wit...

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    9. A body executes SHM under the influence of one force with a time perio...

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    10. From the figure, obtain the equation of simple harmonic motion of the...

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    11. Two particles execute simple harmonic motion of same amplitude and fre...

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    12. The displecement-time equation of a particle executing SHM is x = A si...

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    13. Maximum velocity of a particle in SHM is 10 cm//s . What is the averag...

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    14. A person normally weighing 60 kg stands on a platform which oscillates...

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    15. A block lying on a horizontal table executes SHM of period 1 second, h...

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    16. If the displacement of a moving point at any time is givenby an equat...

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    17. Two linear SHM of equal amplitudes A and frequencies omega and 2omega ...

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    18. Two simple harmonic motions are represented by the following equations...

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    19. A block is resting on a piston which is moving vertically with simple ...

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    20. A block is kept on a horizontal table. The stable is undergoing simple...

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