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Last Updated On 01-06-2023 - By Jeesha Sara

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 :-

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



Next Question :

A body is projected at t=0 with a velocity 10 ms−1 at an angle of 60° with the horizontal. The radius of its trajectory at t=1s is R. Neglecting air resistance and taking acceleration due to gravity g=10 ms−2, the value of R is:

(a)

2.5 m

(b)

10.3 m

(c)

2.8 m

(d)

5.1 m


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