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A particle moves in x-y plane according ...

A particle moves in x-y plane according to the equation `bar(r ) = (hat(i) + 2hat(j)) A cos omega t`. The motion of the particle is

A

on a straight line

B

on an ellipse

C

periodic

D

simple harmonic

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The correct Answer is:
A, C, D
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Knowledge Check

  • A particle moves in x-y plane according to the equation bar(r ) = (hat(i) + 2 hat(j)) A cos omega t the motion of the particle is

    A
    on a straight line with a constant speed
    B
    on an ellipse
    C
    periodic not SHM
    D
    simple harmonic

  • A particle moves in the xy plane according to the equation vec(r )= (hat(i) + 2hat(j))A cos omega t The motion of the particle is

    A
    on a straight line
    B
    in an ellipse
    C
    periodic
    D
    simple harmonic.

  • A particle moves in the x-y plane according to the equation vec(r)=(vec(i)+vec(j)) (A sin omega t +B cos omega t) . Motion of particle is

    A
    periodic
    B
    `SHM`
    C
    along a straight line
    D
    all of the above
    • FIITJEE-SIMPLE HARMONIC MOTION-Assignment Problems (Objective) (Level-II)
    1. A particle moves in x-y plane according to the equation bar(r ) = (hat...

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    2. Which of the following quantities are always negative in a simple har...

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    3. If a simple harmonic motion is given by y=(sin omegat+cosomegat)m ...

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    4. Equation of SHM is x = 10 sin 10 pi t. Find the distance between the t...

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    5. In SHM which of the following statement is/are correct?

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    6. The displacement time graph of a particle executing an SHM is as shown...

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    7. Which of the following is/are essential for SHM?

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    8. A horizontal spring-block system of mass 1kg executes SHM of amplitude...

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    9. A simple pendulum of length 1 m with a bob of mass m swings with an an...

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    10. A constant force F is applied on a spring block system as shown in fig...

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    11. Velocity-time graph of a particle executing SHM is shown in figure. Se...

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    12. Acceleration time graph of a particle executing SHM is as shown in the...

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    13. Density of a liquid varies with depth as rho=alphah. A small ball of d...

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    14. A particle stars SHM at time t=0. Its amplitude is A and angular frequ...

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    15. A particle moves along the x-axis according to the equation x=4+3sin(2...

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    16. In simple harmonic motion

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    17. A block of mass m is attached to a massless spring of force constant k...

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    18. A particle is executing SHM on a straight line. A and B are two points...

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    19. Two particles undergo SHM along the same line with the same time perio...

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    20. A spring mass system as shown in figure is suspended in a constant ele...

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