Center of Mass Calculator

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**Step 1 :**

**Step 2 :**

The Center of mass of a system is the point at which the system's whole mass is concentrated. If there are n no of particles then Center of mass is the position where the average mass of the particle is concentrated.

The**Center of Mass Calculator** calculates the center of mass of any number of bodies if their respective masses and distances are given.

The

Read the problem and list out the given parameters.

To find center of mass for any number of bodies of mass m_{1}, m_{2}.... having distances x_{1},x_{2}....., use the formula:

x_{c} = $\frac{m_{1} x_{1} + m_{2} x_{2} + m_{3} x_{3} + .........+ m_{n} x_{n}}{m_{1} + m_{2} + ...... + m_{n}}$.

Substitute the given values in the formula and get the Center of mass.

Two kids of mass 10 kg and 12 kg are sitting on the two ends of a wooden log, if they are 5m away from each other. Calculate the Center of mass.

**Step 1 :**given:

m

_{1}= 10 Kg,

m

_{2}= 12 Kg,

r

_{1}= 0 m,

r

_{2}= 5 m.**Step 2 :**Since there are two bodies

The Center of mass is given by:

x

_{c}= $\frac{m_{1} x_{1} + m_{2} x_{2}}{m_{1} + m_{2}}$

x

_{c}= $\frac{10 \times 0 + 12 \times 5}{10 + 12}$

= 2.72 m**Answer :**The Center of mass is x

_{c}= 2.72 m.Two bodies of masses 2 kg and 3 kg are kept at a distance of 1m. Calculate its center of mass.

**Step 1 :**m

_{1}= 2 Kg,

m

_{2}= 3 Kg,

r

_{1}= 0 m,

r

_{2}= 1 m.**Step 2 :**Since there are two bodies

The Center of mass is given by:

x

_{c}= $\frac{m_{1} x_{1} + m_{2} x_{2}}{m_{1} + m_{2}}$

x

_{c}= $\frac{2 \times 0 + 3 \times 1}{2 + 3}$

= 0.6 m**Answer :**The Center of mass is x

_{c}= 0.6 m.