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Four particles of masses m, 2m, 3m and 4...

Four particles of masses m, 2m, 3m and 4m are arranged at the corners of a parallelogram with each side equal to a and one of the angle between two adjacent sides is `60^(@)`. The parallelogram lies in the x-y plane with mass m at the origin and 4 m on the x-axis. The centre of mass of the arrangement will be located at

A

`(sqrt3/2a, 0.95a)`

B

`(0.95a, sqrt3/4a)`

C

`((3a)/4,a/2)`

D

`(a/2,(3a)/4)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Four particles of masses m, 2m, 3m and 4m are arranged at the corners of a parallelogram with each side equal to a and one of the angle between two adjacent sides as 60^(@) The parallelogram lies in the x-y plane with mass m at the origin and 4m on the r-axis. The centre of mass of the arrangement will be located at

    A
    `((sqrt3)/(2) a , 0.95 a)`
    B
    `(0.95 a , (sqrt3)/(4) a)`
    C
    `((3a)/(4) , (a)/(2))`
    D
    `((a)/(2) , (3a)/(4))`

  • Four particle of masses m, 2m, 3m and 4m are arranged at the corners of a parallelogram with each side equal to a and one of the angle between two adjacent sides is 60. The parallelogram lies in the x-y plane with mass m at the origin and 4m on the x-axis. The centre of mass of the arrangement will be located at

    A
    `((sqrt(3))/(2)a, 0.95a)`
    B
    `(0.95a, (sqrt(3))/(4)a)`
    C
    `((3a)/(4), (a)/(2))`
    D
    `((a)/(2), (3a)/(4))`

  • Four particles of masses m,m 2 m and 2m are placed at the four corner of a squre of side "a" as shown in figure -4. 107. The (x,y) coordinates of the centre of mass are:

    A
    `((a)/(2),2a)`
    B
    `((a)/(2),a)`
    C
    `((a)/(2),(2a)/(3))`
    D
    `(a,(a)/(3))`

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