two bodies of mass 2g and 3g has position vectors 3i+2j+1k,i-j+3k respectively.find distance of center of mass from the origin
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Position Vector r of centre of mass of two bodies of mass m1 and m2 with position vector r1 and r2 is given by
r = (m1 r1 + m2 r2)/( m1+m2 )
r= ( 6i+4j+2k + 3i-3j+9k)/(2+3)
r= (9i+j+11k) /5
distance from origin is magnitude of this vector
1/5 √(81+1+121)
1/5 √(203)
that's your answer
r = (m1 r1 + m2 r2)/( m1+m2 )
r= ( 6i+4j+2k + 3i-3j+9k)/(2+3)
r= (9i+j+11k) /5
distance from origin is magnitude of this vector
1/5 √(81+1+121)
1/5 √(203)
that's your answer
b394184:
it's a little weird answer let me check the calculation again
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