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Grade 10Mechanics

Let src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACsAAAAdCAIAAAC8HAInAAAA50lEQVRIie2VyxHEIAhAqYuCqIdqaMZisgc1ip8d2ejqIZxkMoHHH67dArsBXgIrgRCQbCW4LscIyG4+gRCYZCbEKTkYlBP6YIGcROAYVZvd+oLMNwiEvGPHCIDsoi60GqCsQgx8sdc+QQD4o/+SQGjyurES7ABQBL4GxhLkCz01s34Ho1prEZhTECcnvNMMCQEQMyYMomy6FEJGYAWobGmy25ROrVDhpNxI4zWoTPU+Kc0npFcFk/QzUHhR57QGeEbQTkENkLTGXz8T5F2o4xypQXbnH9zGdLpUWF+Dbmz9k67zS7BPPnERS6nONjabAAAAAElFTkSuQmCC be the position vector of the center of mass C of a system of particles with
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

Profile image of Hrishant Goswami
11 Years agoGrade 10
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1 Answer

Profile image of Jitender Pal
11 Years ago
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The origin of the inertial frame of reference is depicted by point O.
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