The moment of inertia of a rectangular plate of mass M, length L and breadth B, about an axis passing through its centre and perpendicular to its plane is

Question

The moment of inertia of a rectangular plate of mass M, length L and breadth B, about an axis passing through its centre and perpendicular to its plane is (A) (M(L+B)/12) (B) (M(L2)/12) (C) (M(L2+B2)/12) (D) (M(B2)/12)

Tardigrade Admin · Accepted Answer

The moment of inertia of rectangular plate of mass M, length L and breadth B is given as I=(M(L2+B2)/12)

Q. The moment of inertia of a rectangular plate of mass $M$ , length $L$ and breadth $B$ , about an axis passing through its centre and perpendicular to its plane is________

$\frac{M ( L + B )}{12}$

$\frac{M ( L ^{2} )}{12}$

$\frac{M ( L ^{2} + B ^{2} )}{12}$

$\frac{M ( B ^{2} )}{12}$

The moment of inertia of rectangular plate of mass $M$ , length $L$ and breadth $B$ is given as
$I = \frac{M ( L ^{2} + B ^{2} )}{12}$

Q. The moment of inertia of a rectangular plate of mass M, length L and breadth B, about an axis passing through its centre and perpendicular to its plane is________

12M(L+B)​

12M(L2)​

12M(L2+B2)​

12M(B2)​