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<p>Torque $\tau$ acting on a rotating body is given by $\tau = I \alpha$, where $I$ is the moment of inertia and $\alpha$ is the angular acceleration.</p> Signup and view all the answers

<p>The perpendicular axes theorem states that the moment of inertia of a planar body about an axis perpendicular to its plane is the sum of the moments of inertia about two perpendicular axes in the plane intersecting at the point where the perpendicular axis passes through. It can be proved using mathematical calculations and geometry.</p> Signup and view all the answers

<p>The parallel axes theorem states that the moment of inertia of a body about any axis parallel to an axis through the center of mass is equal to the sum of the moment of inertia about the parallel axis through the center of mass and the product of the mass of the body and the square of the distance between the two parallel axes. The proof involves mathematical derivations and geometric considerations.</p> Signup and view all the answers

<p>The moment of inertia of the system is 0.25 kgm².</p> Signup and view all the answers

<p>The dimensions of moment of inertia are [M°L²Tº].</p> Signup and view all the answers

<p>The moment of inertia of a thin rod about such an axis is ML²/12.</p> Signup and view all the answers