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A system of two identical, uniform discs...

A system of two identical, uniform discs with identical circular cavities, is shown in the figure. Different relevant coordinates are given in the figure. The coordinates of the centre of mass of the system are

A

`((3R)/(2), (5R)/(4))`

B

`((19R)/(6),(5R)/(2))`

C

`((R)/(6),(R)/(4))`

D

`((20R)/(6),(5R)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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The coordinate of the centre of mass of a system as shown in figure : -

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Knowledge Check

  • 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)`

  • A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in the figure. The y- coordinate of the centre of mass of the system is

    A
    `(2r)/(pi)`
    B
    `-(6r)/(3pi+2)`
    C
    `-(2r)/(pi)`
    D
    Zero

  • 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)`

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