A $3.00 \mathrm{~kg}$ mass is located at $\mathrm{x}=2.0 \mathrm{~cm}$ and $\mathrm{y}=-4.0 \mathrm{~cm}$. A $3.00 \mathrm{~kg}$ mass is located at $\mathrm{x}=-5.0 \mathrm{~cm}$ and $\mathrm{y}=$ $2.0 \mathrm{~cm}$. A $4.00 \mathrm{~kg}$ mass is located at $\mathrm{x}=-3.0 \mathrm{~cm}$ and $\mathrm{y}=-3.0 \mathrm{~cm}$. Where is the center of mass $(\mathrm{x}, \mathrm{y})$ ?

Question

Quizplus · Accepted Answer

The center of mass is calculated using the formula: $(x_{cm}, y_{cm}) = \left(\frac{\sum m_ix_i}{\sum m_i}, \frac{\sum m_iy_i}{\sum m_i}\right)$. Substituting the given values, the center of mass is $(-2.1 \mathrm{~cm}, -1.8 \mathrm{~cm})$.

A 3.00 kg3.00 \mathrm{~kg}3.00 kg Mass Is Located At x=2.0 cm\mathrm{x}=2.0 \mathrm{~cm}x=2.0 cm And y=−4.0 cm\mathrm{y}=-4.0 \mathrm{~cm}y=−4.0 cm A \mathrm{~kg}

A $3.00 \mathrm{~kg}$ Mass Is Located At $\mathrm{x}=2.0 \mathrm{~cm}$ And $\mathrm{y}=-4.0 \mathrm{~cm}$ A \mathrm{~kg}