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Home / Doubts and Solutions/JEE/Physics

The velocity of centre of mass of the system as shown in the fig

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Asked by m.nilu 16th September 2018, 10:22 PM
Answered by Expert
Answer:
Let Vx be the x-component of veleocity of CM, Vx  begin mathsize 12px style equals space fraction numerator m subscript 1 cross times v subscript 1 x space end subscript plus space m subscript 2 cross times v subscript 2 x end subscript over denominator m subscript 1 plus m subscript 2 end fraction space equals space fraction numerator 1 cross times 2 space plus space 2 cross times 2 space cross times begin display style fraction numerator square root of 3 over denominator 2 end fraction end style over denominator 1 plus 2 end fraction space equals space fraction numerator 2 plus 2 square root of 3 over denominator 3 end fraction space m divided by s end style
Let Vy be the y-component of veleocity of CM, Vy  begin mathsize 12px style equals space fraction numerator m subscript 1 cross times v subscript 1 y space end subscript plus space m subscript 2 cross times v subscript 2 y end subscript over denominator m subscript 1 plus m subscript 2 end fraction space equals space fraction numerator 1 cross times 0 space plus space 2 cross times 2 space cross times begin display style 1 half end style over denominator 1 plus 2 end fraction space equals space 2 over 3 space m divided by s end style
velocity of CM = begin mathsize 12px style square root of V subscript x superscript 2 plus V subscript y superscript 2 end root space equals space square root of open parentheses fraction numerator 2 plus 2 square root of 3 over denominator 3 end fraction close parentheses squared space plus space open parentheses 2 over 3 close parentheses squared end root space equals space 2 over 3 square root of 5 plus 2 square root of 3 end root space space m divided by s end style
Answered by Expert 17th September 2018, 11:32 AM
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