Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

Determine the centre of mass of two bodies 2 kg and 1 kg positioned at (-1,3) and (1,2) respectively
Options
A (8/3, -1/3)
B (2, -1)
C (0, 0)
D (-1/3, 8/3)
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

x_cm = (m₁x₁ + m₂x₂)/(m₁+m₂) = (2×(-1) + 1×1)/3 = (-2 + 1)/3 = -1/3. y_cm = (2×3 + 1×2)/3 = (6 + 2)/3 = 8/3. So (-1/3, 8/3).

Hint

Centre of mass = (Σm_i r_i) / Σm_i.

Question Info