Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of PQR about an axis perpendicular to the plane of the plate:

(A) about P = I/2 (B) about R = I/2 (C) about P > I/2 (D) about R > I/2

Question

Moment of inertia of a rectangular plate about an axis passing
through P and perpendicular to the plate is I Then moment of PQR
about an axis perpendicular to the plane of the plate:

(A) about P = I/2 (B) about R = I/2 (C) about P > I/2 (D) about
R > I/2

Pintu B. · Accepted Answer

Dear Student,

the distribution of the mass about any axis is not symmetric 
 so by just cutting half of the plate the MI will not become half 
option A and B are in correct
as I is the MI about the axis at P 
if we consider P the mass of PQR are distributed farhter more and less mass is near to the axis 
while in case from axis R the cse is opposite hence in case of MI about P > I/2MI about R <I/2option CREgards

Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of PQR about an axis perpendicular to the plane of the plate: (A) about P = I/2 (B) about R = I/2 (C) about P > I/2 (D) about R > I/2

Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of PQR about an axis perpendicular to the plane of the plate:

(A) about P = I/2 (B) about R = I/2 (C) about P > I/2 (D) about R > I/2