Question

Three point mass particles are located in a plane:

Answer 1

Answer:

Explanation:

m1 = 3.77 kg (0, 0 )

m2 = 6.7106 kg ( 5.72 cm, 11.44 cm)

m3 = 2.46181 kg (16.7024 cm, 0 cm )

Let x and y be the coordinates of centre of mass.

$x = \frac{m_{1}x_{1}+ m_{2}x_{2}+m_{3}x_{3}}{m_{1}+m_{2}+m_{3}}$

$x = \frac{3.77\times 0+ 6.7106\times 5.72 + 2.46181\times 16.7024}{3.77+6.7106+2.46181}$

x = 6.1428 cm

$y = \frac{m_{1}y_{1}+ m_{2}y_{2}+m_{3}y_{3}}{m_{1}+m_{2}+m_{3}}$

$y= \frac{3.77\times 0+ 6.7106\times 11.44 + 2.46181\times 0}{3.77+6.7106+2.46181}$

y = 5.9316 cm