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Consider a pair of identical pendulums, ...

Consider a pair of identical pendulums, which oscillate with equal amplitude independently such that when one pendulum is at its extreme position making an angle of `2^(@)` to the right with the vertical , the other pendulum makes an angle of `1^(@)` to the left of the vertical. What is the phase difference between the pendulums?

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Consider a pair of identical pendulums, which oscillate with equal amplitude independently such that when one pendulum is at its extreme position making an angle of 2° to the right with the vertical, the other pendulum makes an angle of 1° to the left of the vertical. What is the phase difference (in degree) between the pendulums ?

Consider a pair of identical pendulums, which oscillate with equal amplitude independently such that when one pendulum is at its exatreme position making an angle of 2^(@) to the right with the vertrcal, the other pendulum makes an angle of 1^(@) to the left of the vertical. What is the left of the vertical. What is the phase difference between the pendulums?

Knowledge Check

  • A conical pendulum of length L makes an angle theta with the vertical. The time period will be

    A
    `2pisqrt((lcostheta)/(g))`
    B
    `2pisqrt((L)/(gcostheta))`
    C
    `2pisqrt((Ltantheta)/(gamma))`
    D
    `2pisqrt((L)/(g tantheta))`

  • When the string of a conical pendulum makes an angle of 45^(@) with the vertical , its time is T_(1) when the string makes an angle of 60^(@) with the vertical , its time period is T_(2) then T_(1)^(2) // T_(2)^(2) is

    A
    `2`
    B
    `sqrt(2)`
    C
    `0.5`
    D
    none of these

  • A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle theta with the vertical

    A
    `tan^-1((a)/(g))` in the forward direction
    B
    `tan^-1((a)/(g))` in the backward direction
    C
    `tan^-1((g)/(a))` in the backward direction
    D
    `tan^-1((g)/(a))` in the forward direction

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    Bob of the simple pendulum is at rest at its lowest position , Sharp hit imparts a speed of sqrt(9gl) to the pendium bob. Calculate tension of the thread when it makes an angle 60^(@) with the vertical .

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