Three massless rods (A, B, and C) are free to rotate about an axis at their left end (see the drawing). The same
force is applied to the right end of each rod. Objects with different masses are attached to the rods, but the total mass (3m) of the objects is the same for each rod. Rank the angular acceleration of the rods, largest to smallest.
a. A, B, C
b. B, C, A
c. C, B, A
d. B, A, C
e. none of these
The drawing shows three objects rotating about a vertical axis. The mass of each object is given in terms of m0, and its perpendicular distance from the axis is specified in terms of r0. Rank the three objects according to their moments of inertia, largest to smallest.
a. C, A, B
b. B, A, C
c. B, C, A
d. A, B, C
e. A, C, B
Two hoops, starting from rest, roll down identical inclined planes. The work done by nonconservative forces, such as air resistance, is zero (Wnc = 0 J). Both have the same mass M, but, as the drawing shows, one hoop has twice the radius as the other. The moment of inertia for each hoop is I = Mr2, where r is its radius. Which, if either, has the greater total kinetic energy (translational plus rotational) at the bottom of the incline?
a) Large hoop b) Small hoop c) Both tie
A hoop, a solid cylinder, a spherical shell, and a solid sphere are placed at rest at the top of an incline. All the objects have the same radius. They are then released at the same time. What is the order in which they reach the bottom (fastest first)?
a) shell, hoop, cylinder, solid sphere
b) solid sphere, cylinder, shell, hoop
c) hoop, cylinder, shell, solid sphere
d) cylinder, shell, solid sphere, hoop