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Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is:

(a)

MR2

(b)

MR2

(c)

MR2

(d)

  MR2


Question ID - 50287 | SaraNextGen Answer

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is:

(a)

MR2

(b)

MR2

(c)

MR2

(d)

  MR2

1 Answer - 5876 Votes

3537

Answer Key : (c) -

For Ball

Using Parallel axis theorem.

Iball =MR2+M(2R)2

=MR2

2 Balls  so MR2

Irod =for rod =

Isystem= IBall + Irod

=MR2+

=MR2



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