Answer:
The center of mass for the object is [tex]y_c = 1.063 \ m[/tex] from the origin
Explanation:
From the question we are told that
The mass of the first object is [tex]m_1 = 1.99 \ kg[/tex]
The position of first object with respect to origin [tex]y_1 = 2.99 \ m[/tex]
The mass of the second object is [tex]m_2 = 2.96 \ kg[/tex]
The position of second object with respect to origin [tex]y_2 = 2.57 \ m[/tex]
The mass of the third object is [tex]m_3 = 2.43 \ kg[/tex]
The position of third object with respect to origin [tex]y_3 = 0 \ m[/tex]
The mass of the fourth object is [tex]m_3 = 3.96 \ kg[/tex]
The position of fourth object with respect to origin [tex]y_3 = -0.502 \ m[/tex]
Generally the center of mass of the object along the x-axis is zero because all the mass lie on the y axis
Generally the location of the center mass of the object is mathematically represented as
[tex]y_c = \frac{m_1 * y_1 + m_2 * y_2 + m_3 * y_3 + m_4 * y_4}{m_1 + m_2 + m_3 + m_4}[/tex]
=>[tex]y_c = \frac{1.99 * 2.99 + 2.96 * 2.57 + 2.43 * 0 + 3.96 * (-0.502)}{1.99+ 2.96 + 2.43 + 3.96}[/tex]
=>[tex]y_c = 1.063 \ m[/tex]
