Center of mass calculator

Center of mass is the point in space of an extended body or of collection of objects of a system, at which the entire mass is concentrated. Center of mass is the point at which entire mass is distributed only at that one point and all the external forces exert their force. Center of mass calculator is the easy tool which can quickly find the center of mass of any object.

Example 1: Two objects of masses 10kg and 30 kg are placed at a distance of 5m form each other. Find their center of mass.

Formula for Center of mass, x_c = (m₁x₁ + m₂x₂)/ (m₁ + m₂)

In the given question, we can say that:

m₁ = 10kg, m₂ = 30kg, x₁ = 0m and x₂ = 5m

x_c = (10 * 0 + 30 * 5)/ (10 + 30)

x_c = 150/ (40)

x_c = 3.75m

Example 2: Two people of masses 50g and 70 kg are sitting on each corner of the boat 20m long respectively. What is their center of mass?

Formula for Center of mass, x_c = (m₁x₁ + m₂x₂)/ (m₁ + m₂)

In the given question, we can say that:

m₁ = 50kg, m₂ = 70kg, x₁ = 0m and x₂ = 20m

x_c = (50 * 0 + 70 * 20)/ (50 + 70)

x_c = 1400/ 120

x_c = 11.67m

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