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A uniform disc of mass m and radius r an...

A uniform disc of mass `m` and radius `r` and a point mass `m` are arranged as shown in the figure. The acceleration of point mass is `: (` Assume there is no slipping between pulley and thread and the disc can rotate smoothly about a fixed horizontal axis passing through its centre and perpendicular to its plane `)`

A

`(g)/(2)`

B

`(g)/(3)`

C

`(2g)/(3)`

D

none of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Radius of gyration of a uniform circular disc about an axis passing through its centre of gravity and perpendicular to its plane is

    A
    R
    B
    `R/2`
    C
    `sqrt2R`
    D
    `R/sqrt2`

  • Moment of inertia of a uniform quarter disc of radius R and mass M about an axis through its centre of mass and perpendicular to its plane is :

    A
    `(MR^(2))/(2)-M((4R)/(3pi))^(2)`
    B
    `(MR^(2))/(2)-M(sqrt(2)(4R)/(3pi))^(2)`
    C
    `(MR^(2))/(2)+M((4R)/(3pi))^(2)`
    D
    `(MR^(2))/(2)+M(sqrt(2)(4R)/(3pi))^(2)`

  • The M.I. of disc of mass M and radius 'R' about an axis passing through midway between centre and circumference and perpendicular to its plane is

    A
    `MR^(2)//2`
    B
    `5//4 MR^(2)`
    C
    `MR^(2)`
    D
    `3//4 MR^(2)`

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