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Find the x coordinate of the centre of m...

Find the x coordinate of the centre of mass of the bricks shown in figure :

A

`(24)/(25)l`

B

`(25)/(24)l`

C

`(15)/(16)l`

D

`(16)/(15)`

Text Solution

Verified by Experts

The correct Answer is:
B
`X_(cm) = (m((l)/(2)) + m ((l)/(2) + (l)/(2)) + m ((l)/(2) + (l)/(4) + (l)/(2)) + m ((l)/(2) + (l)/(4) + (l)/(6) + (l)/(2)))/(m + m + m + m) = (25)/(24)l`
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The coordinate of the centre of mass of a system as shown in figure : -

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Knowledge Check

  • A wire of uniform cross-section is bend in the shape shown in figure. The co-ordinate of the centre of mass of each side are shown in (figure). The co-ordinates of the centre of mass of the system are. .

    A
    `((15 l)/(14), (6l)/(7))`
    B
    `((15 l)/(14),l)`
    C
    `(l, (l)/(2))`
    D
    `(l, l)`

  • The velcoity of centre of mass of the system as shown in the figure :-

    A
    `((2 - 2sqrt3)/(3)) hat(i) - (1)/(3)hat(j)`
    B
    `((2 + 2sqrt3)/(3)) hat(i) - (2)/(3) hat(j)`
    C
    `4 hat(i)`
    D
    None of these

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