Four objects are held in position by massless rigid rods as indicated in the figure above. The masses of the objects are: m₁ = 8.4 kg, m₂ = 2.1 kg, m3 = 2.66 kg, andm4 = 15.94 kg. Determine the moment of inertia for the x-axis, the y-axis, and through the origin at the center of the rectangular arrangement. (The dimensions in the diagram are A = 10.4 m, B = 9.57 m). I₂ = Iy I₂ = II

A potter's disk spins from rest up to 3.8 rev/s in 15 s. The disk has a mass 3.5 kg and radius 24.0 cm. What is the angular momentum (in kg · m2/s) of the disk at t = 5 s? (Enter the magnitude.) What is the angular momentum (in kg · m2/s) of the disk at  t = 10 s?(Enter the magnitude.)

Consider the object shown in figure A below. What is its rotational inertia? Consider the alternate case of figureB of the same system rotating about a different axis. What would you expect the rotational inertia to be in thiscase?

A student sits on a freely rotating stool holding two dumbbells, each of mass 2.93 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 1,09 m from the axis of rotation and the student rotates with an angular speed of 0.745 rad/s. The moment of inertia of the student plus stool is 2.64 kg m² and is assumed to be constant. The student puls the dumbbells inward horizontally to a position 0.307 m from the rotation axis (Figure b) 1 (a) Find the new anguler speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Koefore Kate"