The moment of inertia of a rectangular plate of mass \(M\), length \(L\) and breadth \(B\), about an axis…

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
  1. \(\frac{M(L+B)}{12}\)
  2. \(\frac{M\left(L^2\right)}{12}\)
  3. \(\frac{M\left(L^2+B^2\right)}{12}\)
  4. \(\frac{M\left(B^2\right)}{12}\)

Solution

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

Asked in: AP EAMCET 2020 (21 Sep Shift 1)

Practice more Rotational Motion questions on Aicharya