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Three blocks of uniform thickness and ma...

Three blocks of uniform thickness and masses `m, m and 2m` are placed at the corners of a triangle having co-ordinates `(2.5, 1.5),(3.5,1.5) and (3,3)` respectively. Find the co-ordinates of the centre of mass of the system.

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To find the coordinates of the center of mass of the system of three blocks placed at the corners of a triangle, we can follow these steps: ### Step 1: Identify the coordinates and masses The coordinates of the three blocks and their respective masses are: - Block 1: Mass = m, Coordinates = (2.5, 1.5) - Block 2: Mass = m, Coordinates = (3.5, 1.5) - Block 3: Mass = 2m, Coordinates = (3, 3) ...
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Knowledge Check

  • The vertices of a triangle are (2, 1), (5, 2) and (3, 4). Then the co-ordinates of the centroid are

    A
    `10, 3`
    B
    `((10)/(3),7)`
    C
    `((10)/(3),(7)/(3))`
    D
    `((7)/(3),(10)/(3))`
  • A system consists of 3 particles each of mass 'm' are located at (1, 1) (2, 2) and (3, 3). The co-ordinates of the centre of mass are

    A
    (6, 6)
    B
    (2, 2)
    C
    (3, 3)
    D
    (1, 1)
  • Particles of masses 3 kg, 4 kg, 5 kg nd 2 kg are placed at points A(3,2), B(-2,2), C(-2,-3) and D(1,-2) respectively of a co-ordinate system. The centre of mass of the system is at

    A
    `(-(1)/(2),-(1)/(2))`
    B
    `(-(1)/(2),-(5)/(14))`
    C
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    D
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