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QJEEM21Ph9b6b: JEE Main 2021 Physics - Class 11 JEEM21Ph9b6b Solution: A system consists of two identical spheres each of mass 1.5 kg…

A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of light rod. The distance between the centres of the two spheres is 5 m. What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint?

Multiple Choice Options

  • A 18.75 kgm2
  • B 1.905 ×\times 105 kgm2
  • C 19.05 kgm2
  • D 1.875 ×\times 105 kgm2

Step-by-Step Verified Solution

JEE Main 2021 (Online) 31st August Evening Shift Physics - Rotational Motion Question 81 English Explanation

M = 1.5 kg, r = 0.5 m, d = 52{5 \over 2} m

I=2(25Mr2+Md2)I = 2\left( {{2 \over 5}M{r^2} + M{d^2}} \right)

= 19.05 kgm2

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