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A particle of mass m is fixed to me one ...

A particle of mass m is fixed to me one end of a light right rod of length l and rotated in a vertical circular path about its other end. The minmum speed of the particle at its highest point must be

A

zero

B

`sqrt(gl)`

C

`sqrt(1.5gl)`

D

`sqrt(2gl)`

Text Solution

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The correct Answer is:
a
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Knowledge Check

  • A particle of mass m is fixed to one end of a light rigid rod of length l and rotated in a vertical ciorcular path about its other end. The minimum speed of the particle at its highest point must be

    A
    zero
    B
    `sqrt(gl)`
    C
    `sqrt(1.5gl)`
    D
    `sqrt(2gl)`

  • A particle of mass m is tied to a light string of length l and rotated along a vertical circular path. What should be the minimum speed at the highest point of its path so that the string does not become slack at any position ?

    A
    `sqrt(2gl)`
    B
    `sqrt(gl)`
    C
    zero
    D
    `sqrt(gl//2)`

  • A particles of mass m is fixed to one end of a light spring of force constant k and unstreatched length l. the system is rotated about the other end of the spring with an angular velocity omega in gravity free space. The increase in length of the spring is

    A
    `(m omega^(2)l)/k`
    B
    `(m omega^(2) l)/(k-m omega^(2))`
    C
    `(momega^(2)l)/(k+momega^(2))`
    D
    none of these

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