Let l be the moment of inertia of a uniform s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) For a uniform square plate,the moment of inertia about any axis passing through its centre and lying in its plane is the same.Let $I_{AB}$ be the

Vedclass · Accepted Answer

$l$

Vedclass · Answer

(A) For a uniform square plate,the moment of inertia about any axis passing through its centre and lying in its plane is the same.Let $I_{AB}$ be the moment of inertia about axis $AB$. Given $I_{AB} = l$.Since the square plate is symmetric about any axis passing through its centre and lying in its plane,the moment of inertia about any such axis is constant.Specifically,for a square plate of side $a$ and mass $M$,the moment of inertia about an axis passing through the centre and parallel to a side is $I = \frac{Ma^2}{12}$.Since this value is independent of the orientation of the axis within the plane of the square,the moment of inertia about any axis $CD$ passing through the centre in the plane of the plate is also $l$.

Similar Questions

The moment of inertia of an object is effective during:

Four point masses $m, 2m, 3m$ and $4m$ are kept at the corners $A, B, C$ and $D$ respectively of a square $ABCD$ of side '$b$'. The moment of inertia of the system about an axis perpendicular to the plane of the square and passing through the point $D$ is (in $mb^2$)

In the given figure,about which axis will the moment of inertia of the triangular frame be maximum? [Given: $AB < BC < AC$]

$A$ metallic solid sphere is rotating about its diameter as an axis of rotation. If the temperature is increased by $200^{\circ} C$, the percentage increase in its moment of inertia is (Coefficient of linear expansion of the metal $= 10^{-5} /^{\circ} C$) (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module