Question

Three small but dense objects are located in the x-y plane as shown in the figure. The objects have the following masses: mA = 3.19 kg, mB = 2.55 kg and mC = 1.41 kg.

Determine the x and the y coordinates of the center of the mass of this system. The objects are small in size, they can be treated as point masses.


x coordinate: ?

y coordinate: ?

Answer 1

The x and the y coordinates of the center of the mass of this system will be 43.1 m and 3.12 m respectively.

What is the center of mass?

A location is established in relation to an object or set of objects in the center of mass. It is the system's average position across all of its components.

Given data;

There are three little objects that are densely spaced out in the x-y plane.;

The value of the masses

m₁=1.41 kg

m₂=2.55 kg

m₃=3.19 kg

$\rm X_{cm} =\frac{ (W_1x_1 + W_2x_2 + W_3x_3)}{(W_1 + W_2 + W_3)} \\\\\ X_{cm} ==\frac{1.41 \times 2 + 2.55 \times 6 +3.19 \times 4}{1.41+2.55+3.19} \\\\ X_{cm} =4.31 \ m$

$\rm Y_{cm} =\frac{ (W_1y_1 + W_2y_2 + W_3y_3)}{(W_1 + W_2 + W_3)} \\\\\ X_{cm} ==\frac{1.41 \times 2 + 2.55 \times 4 +3.19 \times 7}{1.41+2.55+3.19} \\\\ X_{cm} =3.12 \ m$

Hence, the x and the y coordinates of the center of the mass of this system will be 4.31 m and 3.12 m respectively.

To learn more about the center of mass, refer;

https://brainly.com/question/8662931

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