Consider a wheel of radius r = 0.27 m, with six spokes (or three rods of length equal to the diameter of the wheel). The total mass of the wheel is 2.5 kg and 53% of the mass is evenly distributed on the circumference while the rest is evenly distributed on the spokes. Calculate the moment of inertia.

5. Dak Prescott has a mass of 107 kg and is 25 years old. Calculate the total moment of inertia for his arm, considering his shoulder to be the axis of rotation, when he is getting ready to throw a touchdown pass. The football has a mass of 0.45kg. You can add the mass of the football to the mass of his hand. Segment Length (cm) Mass (%) COM Location (%) W M W M W M Upper Arm 27.51 28.17 2.55 2.71 57.54 57.72 Forearm 26.43 26.89 1.38 1.62 45.59 45.74 Hand 7.80 8.62 0.56 0.61 74.74 79.00 Thigh 36.85 42.22 14.78 14.16 36.12 40.95 Shank 43.23 43.40 4.81 4.33 44.16 44.59 Foot 22.83 25.81 1.29 1.37 40.14 44.15 Segment Mass k2 I Upper arm Forearm Hand Total I MacBook Pro

Consider a wheel with four spokes as shown below. The radius of wheel is r = 0.18 m. The mass of the circumferential part is 0.7 kg, and the mass of each spoke is 0.12 kg. If one of the spokes is removed, calculate the distance (in mm) between the old and new center of mass locations. r

1. A circular disk has a density p(r) which varies as a function of distance from the center of the disk. The disk has a radius R and a thickness t. Assuming p(r) = Po(1-r/R): Calculate the total mass of the disk. a. b. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point G. C. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point O. G R