Consider the following statements-1- CM of a uniform semicircular disc of radius R-2R- from the centre-2- CM of a uniform semicircular ring of radius R-4R-3- from the centre-3- CM of a solid hemisphere of radius R-4R-3- from the centre-4- CM of a hemisphere shell of radius R-R-2 from the centreWhich statement are correct -

The correct option is C 4 onlyCM of a uniform semicircular disc of radius R =4R3π from the centreCM of a uniform semicircular ring of radius R =2Rπ f ...

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Byju's Answer

Standard XII

Physics

Com of Solid Bodies

Consider the ...

Question

Consider the following statements
[1] CM of a uniform semicircular disc of radius $R = 2 R / π$ from the centre
[2] CM of a uniform semicircular ring of radius $R = 4 R / 3 π$ from the centre
[3] CM of a solid hemisphere of radius $R = 4 R / 3 π$ from the centre
[4] CM of a hemisphere shell of radius $R = R / 2$ from the centre
Which statement are correct :

1, 2, 4

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1, 3, 4

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4 only

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1, 2 only

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Solution

The correct option is C 4 only
CM of a uniform semicircular disc of radius R $= \frac{4 R}{3 π}$ from the centre

CM of a uniform semicircular ring of radius R $= \frac{2 R}{π}$ from the centre

CM of a solid hemisphere of radius R $= \frac{3 R}{8}$ from the centre

CM of a hemisphere shell of radius R $= \frac{R}{2}$ from the centre

only [4] statement is correct.

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