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Question
Two bodies of masses 1 kg and 3 kg have position vectors ^i+2j+k and −3^i−2^j+^k respectively. The centre of mass of this system has a position vector
Two bodies of masses 1 kg and 3 kg have position vectors ^i+2j+k and −3^i−2^j+^k respectively. The centre of mass of this system has a position vector
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Solution
The correct option is B −2^i−^j+^k
COM= m1→r1+m2→r2m1+m2
where, →A= ^i+2j+k and
→B= −3^i−2^j+^k
for x-coordinates: x^i=1−94=−2^i
for y-coordinates: y^j=2−64=−1^j
for z-coordinates: y^k=1+34=1^k
so, rCOM=−2^i−1^i+1^ior −2^i−^i+^i
COM= m1→r1+m2→r2m1+m2
where, →A= ^i+2j+k and
→B= −3^i−2^j+^k
for x-coordinates: x^i=1−94=−2^i
for y-coordinates: y^j=2−64=−1^j
for z-coordinates: y^k=1+34=1^k
so, rCOM=−2^i−1^i+1^ior −2^i−^i+^i
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