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Three particles of msses 1.0 kg 2.0 kg a...

Three particles of msses 1.0 kg 2.0 kg and 3.0 kg are placed at the corners A,B and C respectively of an equilateral triangle ABC of edge 1m. Locate the centre ofmass of the system.

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To locate the center of mass of the system of three particles placed at the corners of an equilateral triangle, we can follow these steps: ### Step 1: Define the Coordinates of the Particles We have three particles with the following masses and positions: - Particle A (mass = 1.0 kg) at coordinates (0.5, \( \frac{\sqrt{3}}{2} \)) - Particle B (mass = 2.0 kg) at coordinates (0, 0) - Particle C (mass = 3.0 kg) at coordinates (1, 0) ...
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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
    `((5a)/(9), (2a)/(3sqrt(3)))`
    B
    `((2a)/(33), (5a)/(9))`
    C
    `((5a)/(9), (2a)/(sqrt3))`
    D
    `((2a)/(sqrt(3)), (5a)/(9))`

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