A wagon wheel is constructed as shown in ?Fig. E9.33?. The radius of the wheel is 0.300 m, and the rim has mass 1.40 kg. Each of the eight spokes that lie along a diameter and are 0.300 m long has mass 0.280 kg. What is the moment of inertia of the wheel about an axis through its center and perpendicular to the plane of the wheel? (Use Table 9.2.)

Solution 35E Introduction We have to calculate the moment of inertia of the wheel and then the moment of inertia of each spoke. Then, the total moment of inertia will be the sum of the above two quantity. Step 1 First calculate the moment of inertia of the ring of the wheel. The moment of inertia of ring is given by