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Three particles A(50g), B(100g) and C(15...

Three particles `A(50g), B(100g)` and `C(150g)` are placed at vertices of an equilateral triangle as shown in figure. Then the coordinates of center of mass of system is :

A

`((sqrt(3))/(4)m,(5)/(12)m)`

B

`((7)/(12)m,(sqrt(3))/(8)m)`

C

`((7)/(12)m,(sqrt(3))/(4)m)`

D

`((sqrt(3))/(8)m,(7)/(12)m)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Three particles of masses 1 kg, (3)/(2) kg, and 2 kg are located the vertices of an equilateral triangle of side a . The x, y coordinates of the centre of mass are.

    A
    a. `(5a)/(9) , (2a)/(3sqrt 3)`
    B
    b. `(2a)/(3sqrt (3)) , (5a)/(9)`
    C
    c. `(5a)/9 , (2a)/(sqrt 3)`
    D
    d. `(2a)/(sqrt(3)) , (5a)/(9)`

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