The graphs below show the angular velocity of two objects (labeled as object 1 and object 2) during the
same time interval.
1
2
2
Object 1
4
Time
2
Object 2
4
Time
After the 5-second time interval, is the angular displacement of Object 1 greater than, equ

1. The moments of inertia of some objects with uniform mass distributions are
A solid cylinder has mass M, length L, and radius R, as shown in the figure. What is the moment of
inertia around an axis that passes through the center of mass

At the instant shown, three asteroids are in a line, and the distance between A and B is the same as the distance
between B and C. Asteroids B and C have the same mass, while asteroid A has twice the mass.
d
A
d
B
Mass 2M
C
Mass M
Mass M
Rank the magnitud

Four identical metal cylinders rest on a circular horizontal turntable at various
positions as shown in the top-view diagram. The turntable is rotating clockwise
at a constant angular velocity.
P
R
Rank the magnitude of the angular momentum of the cylinde

Two boxes are tied together by a string and are sitting at rest in the middle of a large frictionless surface.
Between the two boxes is a massless compressed spring. The string tying the two boxes together is cut
suddenly and the spring expands, pushing t

A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is
released at a height h above the ground and slides along a frictionless track. The car encounters a loop
of radius R, as shown. Assume that the initial heig

In each case shown, two blocks aresupported by inassless stri_ngs._ The lower block isthe samein all
cases, but the mass of the upper block varies. The acceleration and Velocity for each system is given in the
gure.
Rank these situations on the basis of