Three particles having masses 1, 2, and 3 kg are located on the x-axis at 3,1,-1 respectively. The center of mass of this system is located at x =

A) $\frac { 1,125 } { 8 }$
B) $\frac { 1 } { 3 }$
C)2
D) $\frac { 15,625 } { 24 }$
E) $\frac { 125 } { 24 }$

Question

Three particles having masses 1, 2, and 3 kg are located on the x-axis at 3,1,-1 respectively. The center of mass of this system is located at x =

A) $\frac { 1,125 } { 8 }$
B) $\frac { 1 } { 3 }$
C)2
D) $\frac { 15,625 } { 24 }$
E) $\frac { 125 } { 24 }$

Quizplus · Accepted Answer

The center of mass $ x_{cm} $ is calculated using the formula: $ x_{cm} = \frac{\sum m_ix_i}{\sum m_i} $. Here, $ x_{cm} = \frac{(1 \times 3) + (2 \times 1) + (3 \times -1)}{1 + 2 + 3} = \frac{3 + 2 - 3}{6} = \frac{2}{6} = \frac{1}{3} $.

Three Particles Having Masses 1, 2, and 3 Kg Are 1,1258\frac { 1,125 } { 8 }81,125​

Three Particles Having Masses 1, 2, and 3 Kg Are $\frac { 1,125 } { 8 }$