Question

find and calculate the y- component of the center of mass for the following three masses: m1 = 3.96 kg at the origin. m2 = 3.03 kg at (4.0,5.4) m. m3 = 5.04 kg at (1.0,2.8) m.

Answer 1

Explanation:

To calculate the y-component, we need to determine the y-component for each of these masses:

If m1 is at the origin, it is at (0,0). This means that it is at y=0.

If m2 is at (4.0,5.4), it is at y = 5.4.
If m3 is at (1.0, 2.8), it is at y = 2.8.

Thus, we can use the equation for finding equilibrium, which is each mass x position, divided by all the masses:

(m1 * 0 + m2 * 5.4 + m3 * 2.8) / (m1+m2+m3) = 2.53 (3 sig figs)