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The distance of the centre of mass of a ...

The distance of the centre of mass of a hemispherical shell of radius R from its centre is

A

`R/2`

B

`R/3`

C

`(2R)/2`

D

`(2R)/3`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Find distance of centre of mass of solid hemisphere of radius 8cm from centre

    A
    3 cm
    B
    3/8 cm
    C
    4 cm
    D
    2 cm

  • Consider following statements (1) CM of a uniform semicircular disc of radius R is 2R/ pi from the centre (2) CM of a uniform semicircular ring of radius R is 4R/3 pi from the centre (3) CM of a solid hemisphere of radius R is 4R/3 pi from the centre (4) CM of a hemisphere shell of radius R is R/2 from the centre Which statements are correct?

    A
    1, 2, 4
    B
    1, 3, 4
    C
    4 only
    D
    1, 2 only

  • Two semicircular rings of linear mass densities lamda and 2 lamda and of radius 'R' each are joined to form a complete ring. The distance of the centre of the mass of complete ring from its geometrical centre is :

    A
    `(3R)/(8 pi)`
    B
    `(2R)/(3 pi)`
    C
    `(3R)/(4 pi)`
    D
    None of these

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