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Two identical springs are attached to a ...

Two identical springs are attached to a small block P. The other ends of the springs are fixed at A and B, When P is in equilibrium the extension of bottom spring is 10 cm and top spring is 20 cm. The period of small vertical oscillations of P about is equilibrium position is `(use "g"=9.8 m//s^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(7)`
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Knowledge Check

  • Two identical springs are attached to a small block P. The other ends of the springs are fixed at A and B, When P is in equilibrium the extension of bottom spring is 10 cm. The period of small vertical oscillations of P about is equilibrium position is (use "g"=9.8 m//s^(2))

    A
    `(2pi)/7sec`
    B
    `(pi)/7sec`
    C
    `(2pi)/5sec`
    D
    none of these

  • Two identical spring are attached to a small block P The other ends of the springs are fixed at A and B. when P is equilibrium the extension of top spring is 20cm and extension of bottom spring is 10cm The period at small vertical oscillation of p about its equilibrium position is (use g = 9.8m//s^(2))

    A
    `(2pi)/(7)sec`
    B
    `(pi)/(7)sec`
    C
    `(2pi)/(5)sec`
    D
    none of these

  • In the figure, a block of mass m is rigidly attached to two identical springs of stiffness k each. The other ends of the springs are connected to the fixed wall. When the block is in equilibrium, length of each spring is b, which is greater than the natural length of the spring. The time period of the oscillation of the block if it is displaced by small distance perpendicular to the length of the springs and released. Space is gravity free.

    A
    `2pisqrt((mb)/(k(b-1))`
    B
    `2pisqrt((mb)/(2k)(b-l))`
    C
    `2pisqrt((m(b-l)/(kb))`
    D
    `2pisqrt((m(b-l)/(2kb))`

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