Question

The bricks are homogeneous and have the same mass. Each brick is 5.00 cm

Answer 1

Answer:

(5/3,-5/6) or (1.67, -0.83)

Explanation:

the center if there are 4 bricks is the point 0,0 or intersection of the two arrow.

if we remove one on the top left, with the center of the mass in (-5,2.5), the the new coordinates of the center of mass can be found like this

x = A1 x1 - A2 x2 / (A1 - A2)

x = new coordinate of the system

A1 is the Area of 4 bricks = 20 x 10 = 200 cm²

A2 is the Area of 1 brick we remove, the top left = 10 x 5 = 50 cm²

x1 = the x coordinate of the center of mass when there are 4 bricks, x = 0

x2 = the x coordinate of the center of mass of the remove brick, x = -5

x = (200 . 0) - (50 . (-5))/(200 - 50)

x = - (-250) / 150

x = 250/150 = 5/3 = 1.67 cm

we can find the value y of the new coordinate, the same way we find x

y = A1 y1 - A2 y2 / (A1 - A2)

y = (200 . 0) - (50 . 2.5) / (200-50)

y = - 125/150

y = -5/6 = -0.83 cm