JEE Main 31-Aug-2021 Shift 2 Solved Paper

Given, mass of each sphere, M= 1.5 kg
Radius of each sphere, R=50‌cm=50×10−2m
Distance between centre of spheres, l = 5 m By using parallel axis theorem, moment of inertia of system is
I=2[

2

5

MR2+

Ml2

4

]
I=2M[

2

5

R2+

l2

4

]
Substituting the values, we get
I=2×1.5[

2

5

×(50×10−2)2+

(5)2

4

]
=19.05‌kg−m2