Solved papers for JEE Main & Advanced AIEEE Solved Paper-2006

done AIEEE Solved Paper-2006 Total Questions - 4

• question_answer1) Consider a two particle system with particles having masses\[{{m}_{1}}\]and\[{{m}_{2}}\]. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?     AIEEE  Solved  Paper-2006
  A)
  \[\frac{{{m}_{2}}}{{{m}_{1}}}d\]
  done clear
  B)
                         \[\frac{{{m}_{1}}}{{{m}_{1}}+{{m}_{2}}}d\]         
  done clear
  C)
         \[\frac{{{m}_{1}}}{{{m}_{2}}}d\]               
  done clear
  D)
         \[d\]
  done clear
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• question_answer2) Four point masses, each of value m, are placed at the corners of a square ABCD of side \[l\]. The moment of inertia of this system about an axis passing through A and parallel to BD is     AIEEE  Solved  Paper-2006
  A)
  \[2m{{l}^{2}}\]                 
  done clear
  B)
  \[\sqrt{3}\,m{{l}^{2}}\]
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  C)
                         \[3\,m{{l}^{2}}\]              
  done clear
  D)
         \[\,m{{l}^{2}}\]
  done clear
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• question_answer3) A force of \[-F\hat{k}\] acts on O, the origin of the coordinate system. The torque about the point \[(1,-1)\]is     AIEEE  Solved  Paper-2006
  A)
  \[F(\hat{i}-\hat{j})\]        
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  B)
         \[-F(\hat{i}+\hat{j})\]   
  done clear
  C)
         \[F(\hat{i}+\hat{j})\]         
  done clear
  D)
         \[-F(\hat{i}-\hat{j})\]
  done clear
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• question_answer4) A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocity\[\omega \]. Two objects each of mass M are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity\[\omega '\]is equal to     AIEEE  Solved  Paper-2006
  A)
  \[\frac{\omega (m+2M)}{m}\]  
  done clear
  B)
         \[\frac{\omega (m-2M)}{(m-2M)}\]
  done clear
  C)
  \[\frac{\omega m}{(m+M)}\]    
  done clear
  D)
         \[\frac{\omega m}{(m+2M)}\]
  done clear
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