2. A table tennis bat is made up of a circular disk (diameter ( =0.20 mathrm{~m}, mathrm{~m}=0.075 mathrm{~kg} ) ) and a handle (model as a circular cylinder) of diameter ( 0.015 mathrm{~m} ), length ( =0.10 mathrm{~m} ), and mass ( =0.05 mathrm{~kg} ). Find its moment of inertia about its center of mass.

Question

Accepted Answer

Step:1 ：Find the moment of inertia of the disk: ( I_{disk} = frac{1}{2} m_{disk} r_{disk}^2 = frac{1}{2} (0.075) (0.10)^2 )Step:2 ：Find the moment of inertia of the handle: ( I_{handle} = frac{1}{4} m_{handle} d_{handle}^2 + frac{1}{12} m_{handle} h_{handle}^2 = frac{1}{4} (0.05) (0.015)^2 + frac{1}{12} (0.05) (0.10)^2 )Step:3 ：Find the total moment of inertia: ( I_{total} = I_{disk} + I_{handle} )

Answer

Step: 1 ：Find the moment of inertia of the disk: ( I_{disk} = frac{1}{2} m_{disk} r_{disk}^2 = frac{1}{2} (0.075) (0.10)^2 )Step: 2 ：Find the moment of inertia of the handle: ( I_{handle} = frac{1}{4} m_{handle} d_{handle}^2 + frac{1}{12} m_{handle} h_{handle}^2 = frac{1}{4} (0.05) (0.015)^2 + frac{1}{12} (0.05) (0.10)^2 )Step: 3 ：Find the total moment of inertia: ( I_{total} = I_{disk} + I_{handle} )

2. A table tennis bat is made up of a circular disk (diameter $= 0.20 m, m = 0.075 kg$ ) and a handle (model as a circular cylinder) of diameter $0.015 m$ , length $= 0.10 m$ , and mass $= 0.05 kg$ . Find its moment of inertia about its center of mass.

Answer

Popular Problems

2. A table tennis bat is made up of a circular disk (diameter =0.20 m, m=0.075 kg ) and a handle (model as a circular cylinder) of diameter 0.015 m, length =0.10 m, and mass =0.05 kg. Find its moment of inertia about its center of mass.

Answer

Popular Problems

2. A table tennis bat is made up of a circular disk (diameter $= 0.20 m, m = 0.075 kg$ ) and a handle (model as a circular cylinder) of diameter $0.015 m$ , length $= 0.10 m$ , and mass $= 0.05 kg$ . Find its moment of inertia about its center of mass.