A top has a peg along its axis with a lightweight string wrapped around it. As shown below, the end of the string is pulled with a constant tension force F = 4.96 N, causing the string to unwind from the peg without slipping. The top has a moment of inertia of 4.10 x 10'4 kg - m2. It is initially at rest and is free to rotate about the stationary axis AA'. What is the top's angular speed (in rad/s) after 70.0 cm of string has unwound from the peg? E rad/s A cylinder of mass 6.0 kg rolls without slipping on a horizontal surface. At a certain instant its center of mass has a speed of 9.0 m/s. (a) Determine the translational kinetic energy of its center of mass. J H (b) Determine the rotational kinetic energy about its center of mass. J H (c) Determine its total energy. J H A kitchen door is attached to a vertical support by a set of hinges. Assume the door is uniform and has height 2.35 m, width 0.890 m, and mass 22.0 kg. (a) Determine its moment of inertia (in kg - m2) for rotation on its hinges. :1 kg - m2 (b) Are any pieces of data unnecessary? (Select all that apply.) C] The mass of the door is unnecessary. [j The width of the door is unnecessary. D The height of the door is unnecessary. [:1 No; all of the data are necessary