The moment of inertia I of a r \""559 radius) hollow rod of mass m with outer radius R and inner radius I" about the axis through its center is given by the formula : I : I(R,r) : miz + r2) The mass of the rod is m : 10 kg, and the measured values of the radii are : R=4m,r:3m (a) What is the computed value of the moment of inertia of the hollow rod? [units of I : kg -m2] (b) If R has a possible measurement error of i0. 1 m, and I" has a possible Measurement error of i0. 05 m, use differentials to estimate the propagated error in the computation of the moment of inertia. (c) Now suppose that the outer radius of the rod is decreasing at a rate of 0. 2 m / sec while the inner radius is increasing at the same rate. Use a chain rule to compute the rate at which the moment of inertia changingwhen R=3m and r=2m