Question Detail
Question
Determine the centre of mass of two bodies 2 kg and 1 kg positioned at (-1, 3) and (1, 2) respectively.
Correct Answer
Option D is the correct answer.
Detailed Explanation
Center of mass coordinates: x_cm = (m1x1 + m2x2)/(m1+m2) = (2(-1) + 11)/(3) = (-2 + 1)/3 = -1/3. y_cm = (m1y1 + m2y2)/(m1+m2) = (23 + 12)/3 = (6 + 2)/3 = 8/3. So the coordinates are (-1/3, 8/3).
Hint
Use the formula for the center of mass of a system of particles: weighted average of positions.