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The formula to find the X-coordinate of centre of mass for a system of two particles of masses M1 and M2 and X-coordinates of X1 and X2 respectively is-
1. M1X1 + M2X2
2. M1X1 - M2X2
3. (M1X1 + M2X2)/(X+ X2)
4. (M1X1 + M2X2)/(M+ M2)

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Best answer
Correct Answer - Option 4 : (M1X1 + M2X2)/(M+ M2)

The correct answer is option 4) i.e. M1X1 + M2X2 / M1+M2.

CONCEPT:

  • ​​Centre of mass: The centre of mass is the average position where all the mass of individual particles of the body is assumed to be concentrated.
    • It is a position defined relative to an object or system of objects.

EXPLANATION:

  • The X-coordinate of the centre of mass of a system of two particles is given by the formula:

\(X_{COM} = \frac{M_{1}X_{1}+M_{2}X_{2}}{M_{1}+M_{2}}\)

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