Q20 / 223 · NTA Abhyas (NEET) 2020 · Physics · Rotational Motion

Three equal masses m are rigidly connected to each other by massless rods of length l forming an equilateral triangle, as shown above. The assembly is to be given an angular velocity ω   about an axis perpendicular to the triangle. For fixed ω , what is the ratio of the kinetic energy of the assembly for an axis through B to an axis through A?

Figure

  • A
    1:2
     
  • Correct answer
    B
    2:1
  • C
    3:2
  • D
    1:3

Solution

IA=ml32×3=ml2

IB=ml2+ml2⇒IB=2mll2

KEB=12IBω2⇒KEB=122ml2ω2

KEA=12IAω2⇒KEA=12ml2ω2

KEBKEA=122ml2ω212ml2ω2=21

Hence, the correct answer is option: 'B'.

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