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A system consists of two identical spher...

A system consists of two identical sphers each of mass 1.5 kg and radius 50 cm at the ends of a light rod .The distane between the centres of the 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 .

A

`1.905xx10^(5)"kgm"^(2)`

B

`18.75 "kgm"^(2)`

C

`19.05 "kgm"^(2)`

D

`1.875xx10^(5)"kgm"^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

`I=((2)/(5)MR^(2)+Mx^(2))xx2`
`((2)/(5)xx1.5xx(0.5)^(2)+1.5xx(2.5)^(2))xx2`
= `[0.15+9.375]xx2=19.05"kgm"^(2)`
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