The idea of this method is to attach the body to be measured to a long string, forming a physical pendulum. If we plot the left-hand side vs. L2, we will get a straight line of slope m and ...The idea of this method is to attach the body to be measured to a long string, forming a physical pendulum. If we plot the left-hand side vs. L2, we will get a straight line of slope m and ordinate intercept equal to the moment of inertia I. Perform a linear regression analysis on the data (treating L2 as the independent variable, and T2mgL/4π2 as the dependent variable).
where Ip is the moment of inertia of the pulley, Ir is the moment of inertia of the rod, and Ib is the moment of inertia of the test body, which is what we're trying to measure. T...where Ip is the moment of inertia of the pulley, Ir is the moment of inertia of the rod, and Ib is the moment of inertia of the test body, which is what we're trying to measure. The pulley and rod are both disks, so their respective moments of inertia are Ip=12mpr2p and Ir=12mrr2r, where mp and rp are the mass and radius of the pulley, and mr and rr the mass and radius of the rod.
