PROBLEMS NOT FROM GIAMBATTISTA CHAPTER 5 A1. Wendy is riding on a Ferris wheel, which turns once every three minutes. Wendy's seat is 8.0 m from the central axle of the wheel, and that axle is 10.0 m above the ground. When Wendy is at the top of the turning wheel, she drops a golf ball, which falls to the ground. Relative to a vertical line from the release point to the ground, where does the ball land? CHAPTER 8 A2. Refer to Giambattista Ch. 8, problem 79. The radius of the pulley is R. Instead of finding the acceleration of the blocks, find the speed of the blocks after m_2 has fallen h meters. Use conservation of energy. A3. A square, 20 cm on the side, is made of very light sticks. Four identical masses of m = 0.1 kg form the corners of the square. The square rotates with an angular velocity of 8 rad/s about an axis perpendicular to its plane through the center of the square. (a) Calculate the rotational inertia of the system about the rotation axis and use it to find the angular momentum about this axis. (b) Use the general definition of angular momentum to calculate the angular momentum of each mass with respect to the center of the square, and add these up. Compare the results of (a) and (b). A4. A child of mass 25 kg stands at the edge of a rotating platform of mass 150 kg and radius 4.0 m. The platform with the child on it rotates with an angular speed of 6.2 rad/s. The child jumps off in a radial direction. (a) What happens to the angular speed of the platform? (b) What happens to the platform if, a little later, the child, starting at rest, jumps back onto the platform? (Treat the platform as a uniform disk.)