Answer to Question #271558 in Physics for Fanah

Question

Four objects are situated along the y axis as follows: a 2.08kg object is at 2.90 m,a 3.03kg object is at 2.40m,a 2.56 kg object is at the origin,and a 4.05 kg object is at 0.508m.Where is the centre of mass of these objects?

x=

y=

Answer 1

The objects are along y-axis, which means that the x-coordinate is 0. The y-coordinate of the center of mass:

$$y_c=\frac{y_1m_1+y_2m_2+y_3m_3+y_4m_4}{m_1+m_2+m_3+m_4},\\\space\\ y_c=1.31\text{ m}.$$