Question

Determine the CM of the uniform thin L-shaped construction brace shown in (Figure 1) . Suppose that a = 2.20 m and b = 1.63 m Determine the x coordinate of the CM

Answer 1

By weighted average method, the x-coordinates of the center of mass of the compound figure, the uniform thin L-shaped construction brace is $\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}$ meters.

How to determine the coordinates of the center of mass of a compound figure

Let suppose that the entire construction has a uniform mass, then the coordinates of the center of mass can be determined by definition of weighted average:

$\bar x = \frac{\sum \limits_{i = 1}^{n}x_{i}\cdot m_{i}}{\sum \limits_{i=1}^{n}m_{i}}$     (1)

$\bar y = \frac{\sum \limits_{i = 1}^{n}y_{i}\cdot m_{i}}{\sum \limits_{i=1}^{n}m_{i}}$     (2)

If we know that a = 2.20 m and b = 1.63 m, then the x-coordinates of the center of mass of the compound figure is:

$\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}$

By weighted average method, the x-coordinates of the center of mass of the compound figure, the uniform thin L-shaped construction brace is $\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}$ meters.

To learn more on center of mass: brainly.com/question/8662931

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