You are given two objects and a ramp. Explain how you could measure the ratio of the moments of inertia of the two objects. Assume the two objects are both round (so that both roll), have the same mass and radius, and are solid (no holes in the center, etc.). Consider only objects that meet these criteria and with the shapes in Table 8.2. Both objects can roll without slipping down the ramp, and you have the equipment needed to measure the speeds of the objects as they roll.

Table 8.2

?

Transcribed Image Text:

TABLE 8.2 Moment of Inertia for Some Common Objects Object Shape Object Shape Ноop Rod pivoted at center I = mR? I= femL? %3D Solid sphere Pulley/cylinder/disc I = ?mR? I = mR? Wheel or hollow cylinder Spherical shell I = }m(R + Rim) Rmin I = ?mR? R. Solid square plate with axis perpendicular to plate Rod pivoted at one end I= }mL? 1- ĮmL?