Physics

Problem

Three identical point masses, each of mass

0.50\,\text{kg}

, are fixed at the coordinates

(0,0)

(0.40\,\text{m},0)

, and

(0,0.40\,\text{m})

in the

xy

-plane. At a particular instant their velocities are

\mathbf v_{1}=2.0\,\hat i\,\text{m\,s}^{-1}

\mathbf v_{2}=2.0\,\hat i+3.0\,\hat j\,\text{m\,s}^{-1}

, and

\mathbf v_{3}=3.0\,\hat j\,\text{m\,s}^{-1}

, respectively. What is the rotational kinetic energy of the system about its center of mass at that instant? a)

6.5\,\text{J}

2.2\,\text{J}

3.0\,\text{J}

4.3\,\text{J}