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Motion Of An Object Attached To A Spring...

Motion Of An Object Attached To A Spring

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A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position y such that the spring is at its rest length. The object is then released from y and oscillates up and down, with its lowest position being 10cm below y, (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 8.0 cm below the initial position? (c ) An object of mass 600g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object? (d) How far below y, is the new equilibrium (rest) position with both objects attached to the spring?

Knowledge Check

  • The dispalcement of an object attached to a spring and excuting simple harmonic motion is given by x = 2 xx 10^(-2) cospit metres. The time at which at maximum speed first occurs is :

    A
    ` 0.5 s`
    B
    `0.75 s`
    C
    `0.125 s`
    D
    `0.25 s`

  • The displacement of an object attached to a spring and executing a simple harmonic motion is given by x=(2xx10^(-2)) "cos" pi t metre. The time at which the maximum speed first occurs is

    A
    0.5 sec
    B
    0.25 sec
    C
    0.75 sec
    D
    0.125 sec

  • The displacement of an obuect attached to a spring and executing simple harmonic motion is given by x=2xx100^(-2) cos pit metre. The time at which the maximum speed first occurs is.

    A
    (a) `0.25 s`
    B
    (b) `0.5 s`
    C
    (c )0.75 s`
    D
    (d) `0.125 s`

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