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Two particless of mass 2 g, and 3 g are ...

Two particless of mass 2 g, and 3 g are situated at the locations (3 cm , 5 cm) and (4 cm, 6 cm) respectively. Find the position vector of the centre of mass of the two particles.

Text Solution

Verified by Experts

`x= (2xx3+3xx4)/(2+3)`=3.6 cm
and y = `(2xx5+3xx6)/(2+3)=5.6` cm
Hence position vector, `vecr=3.6hati+5.6hatj`cm
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Knowledge Check

  • Position vectors of two equal masses with respect to the origin are veca and vecb respectively. Position vector of the centre of mass of these masses is

    A
    `veca+vecb`
    B
    `(veca+vecb)/(2)`
    C
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    D
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