Question

Mass is distributed uniformly over athin square plate. If two end points of a diagonal are (-2,0)and(2,2),what are the coordinates of centre of mass of plate?

Answer 1

Answer:

(0,1)

Explanation:

Centre of mass of the square will be at centre of the square

so, centre of square =(-2+2/2 ,2+0/2)

=(0,1)

Ans: (0,1)

Answer 2

The coordinates of the center of mass of the plate are $(0,1)$.

Step-by-step explanation:

Given:

The diagonals are $(-2,0)(2,2)$.

To find:

To find the coordinates of the center of mass of the plate.

Solution:

The center of mass of a square plate is located at the point of intersection of diagonals, and the square's two diagonals are bisected.

coordinates of the center of mass$=\frac{x_{1} +x_{2} }{2} ,\frac{y_{1} +y_{2} }{2}$

let $x_{1},y_{1} =(-2,0), x_{2},y_{2} =(2,2)$

$=\frac{-2+2}{2} ,\frac{0+2}{2}$

$=(0,1)$

Hence, $(0,1)$ is the coordinates of the center of mass of the plate.

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