The moment of inertia of uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is :
A
Mr 2
B
Mr 2
C
Mr 2
D
Mr 2
Text Solution
Verified by ExpertsThe correct answer is:
D
The mass of complete (circular) disc is
M + M = 2M
The moment of inertia of disc is I = 
= Mr 2
Let the moment of inertia of semicircular disc is I 1 .
The disc may be assumed as combination of two semicircular parts.
Thus, I 1 = I – I 1 ∴ I 1 = 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Four identical particles each of mass m are placed on x-y plane as shown. If I x , I y and I z are …
A disc of mass m and radius r lies in x-y plane with its centre at a distance 'a' from origin at (a…
Given a thin square lamina of a size a × a and mass M (see fig.)
Moment of inertia of a body is independent of the dimension of the body parallel to the axis of rot…
Figure shows a uniform rectangular sheet with . Moment of inertia of the sheet is maximum about
Which of the following graphs correctly represents the variation of moment of inertia of a thin ci…