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The bob of a 0.2 m pendulum describs an ...

The bob of a 0.2 m pendulum describs an arc of circle in a vertical plane. If the tension in the cord is `sqrt(3)` times the weight of the bob when the cord makes an angle `30^(@)` with the vertical, the acceleration of the bob in that position is `g//n`. Find value of `n`.

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Knowledge Check

  • A bob of mass 1 kg is suspended from an inextensible string of length 1 m. When the string makes an angle 60^(@) with vertical, speed of the bob is 4 m/s Net acceleration of the bob at this instant is

    A
    `16 m//s^(2)`
    B
    `20.4 m//s^(2)`
    C
    `18.2 m//s^(2)`
    D
    `10.4 m//s^(2)`

  • A bob of mass m=50g is suspended form the ceiling of a trolley by a light inextensible string. If the trolley accelerates horizontally, the string makes an angle thata=37^(@) with the vertical. Find the acceleration of the trolley.

    A
    `10 m//s^(2)`
    B
    `12.5 m//s^(2)`
    C
    `7.5 m//s^(2)`
    D
    `7.5 m//s`

  • A simple pendulum is released from rest at the horizontally stretched position. When the string makes an angle theta with the vertical, the angle theta which the acceleration vector of the bob makes with the string is given by–

    A
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    B
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    C
    `varphi = tan^(-1)(2tantheta)`
    D
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