1. The moment of inertia of elliptic disc of area 2a and 2b of mass m about the area 2a is
1... 1/4mb^3
2... 1/4mb^4
3.... 1/4mb^5
4.... 1/4mb^2
2. the moment of inertia of circular plate of radius a mass m about its diameter?
1... 1/4ma^3
2... 1/4ma^4
3... 1/4ma^2
4... 1/4ma^5
Answers
Answered by
6
1 ) Answer:we know that the moment of inertia of an circlar disc of uniform mass distribution of mass 'm', radius 'r' about its axis is
2
mr
2
Since, For an elliptical disc of uniform mass distribution of mass 'm', semi major axis 'r', mass distribution is closer to axis so its moment of inertia will be less than
2
mr
2
.
Therefore, D is correct option.
2 )We know moment of inertia of a disc ,axis passing through its diameter is I=mr
2
/4
Moment of inertia of ring about its axis passing through diameter I
1
=mr
2
/2=2I
Now using perpendicular axis theorem I
z
=I
x
+I
y
=2I
1
=4I
Step-by-step explanation:
Similar questions