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Statement I : The centre of mass of a ci...

Statement I : The centre of mass of a circular disc lies always at the centre of the disc.
Statement II : Circular disc is a symmetrical body.

A

If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.

B

If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – I

C

If Statement - I is true but Statement - II is false.

D

If Statement - I is false but Statement - II is true

Text Solution

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The correct Answer is:
A
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Calculate moment of inertia of a circular disc about a transverse axis through the centre of the disc. Given, diameter of disc is 40 cm , thickness = 7 cm and density of material of disc = 9 g cm^(-3) .

Knowledge Check

  • Statement I : The centre of mass of a circular disc with uniform mass distribution lies always at the centre of the disc. Statement II : Circular disc with uniform mass distribution is a symmetrical body.

    A
    If both Statement-I and Statement-II are true, and Statement - II is the correct explanation of Statement– I.
    B
    If both Statement-I and Statement-II are true but Statement - II is not the correct explanation of Statement – I.
    C
    If Statement-I is true but Statement-II is false.
    D
    If Statement-I is false but Statement-II is true.

  • The moment of inertia of a uniform semicircular disc of mass disc through the centre is

    A
    `(2)/(5)Mr^2`
    B
    `(1)/(4)Mr^2`
    C
    `(1)/(2)Mr^2`
    D
    `Mr^2`

  • A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumference of the discs coincoid . The centre of mass of the new disc is alphaR from the centre of the bigger disc . the value of alpha is

    A
    `1//3`
    B
    `1//2`
    C
    `1//6`
    D
    `1//4`

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