1. The horizontal circular platform weighs 500 lb and has a radius of gyration of kz = 8 ft from the z-axis passing through O. The platform is free to rotate about the z-axis and is initially at rest. A person having a weight of 150 lb begins to run along the edge in a circular path of radius 10 ft. If they maintain a speed of 4 ft/s relative to the platform, determine the angular velocity of the platform. Neglect friction. 10 ft I don't think we have dealt with relative velocity in this context, but it follows our earlier relative velocity treatment. Here all speeds are in the 1-direction. vp is the speed of the person, and v» is the speed of the disk at the location of the person. Then vp = Vp + Vp/D, same as before. You are given vpp = 4 ft/s.

1. The horizontal circular platform weighs 500 lb and has a radius of gyration of kz = 8 ft from the z-axis passing through O. The platform is free to rotate about the z-axis and is initially at rest. A person having a weight of 150 lb begins to run along the edge in a circular path of radius 10 ft. If they maintain a speed of 4 ft/s relative to the platform, determine the angular velocity of the platform. Neglect friction. 10 ft I don't think we have dealt with relative velocity in this context, but it follows our earlier relative velocity treatment. Here all speeds are in the 1-direction. vp is the speed of the person, and v» is the speed of the disk at the location of the person. Then vp = Vp + Vp/D, same as before. You are given vpp = 4 ft/s.