9
E.
Circular motion and rotation
1.
Uniform circular motion
Students should understand the uniform circular motion of a particle, so they can:
a)
Relate the radius of the circle and the speed or rate of revolution of the particle to
the magnitude of the centripetal acceleration.
9
9
b)
Describe the direction of the particle’s velocity and acceleration at any instant
during the motion.
9
9
c)
Determine the components of the velocity and acceleration vectors at any instant,
and sketch or identify graphs of these quantities.
9
9
d)
Analyze situations in which an object moves with specified acceleration under the
influence of one or more forces so they can determine the magnitude and direction
of the net force, or of one of the forces that makes up the net force, in situations
such as the following:
(1)
Motion in a horizontal circle (e.g., mass on a rotating merry-go-round, or car
rounding a banked curve).
9
9
(2)
Motion in a vertical circle (e.g., mass swinging on the end of a string, cart
rolling down a curved track, rider on a Ferris wheel).
9
9
2.
Torque and rotational statics
a)
Students should understand the concept of torque, so they can:
(1)
Calculate the magnitude and direction of the torque associated with a given
force.
9
9
(2)
Calculate the torque on a rigid object due to gravity.
9
9
b)
Students should be able to analyze problems in statics, so they can:
(1)
State the conditions for translational and rotational equilibrium of a rigid object.
9
9
(2)
Apply these conditions in analyzing the equilibrium of a rigid object under the
combined influence of a number of coplanar forces applied at different
locations.
9
9
c)
Students should develop a qualitative understanding of rotational inertia, so they
can:
(1)
Determine by inspection which of a set of symmetrical objects of equal mass
has the greatest rotational inertia.
9
(2)
Determine by what factor an object’s rotational inertia changes if all its
dimensions are increased by the same factor.
9
d)
Students should develop skill in computing rotational inertia so they can find the
rotational inertia of:
(1)
A collection of point masses lying in a plane about an axis perpendicular to the
plane.
9
(2)
A thin rod of uniform density, about an arbitrary axis perpendicular to the rod.
9
(3)
A thin cylindrical shell about its axis, or an object that may be viewed as being
made up of coaxial shells.
9
e)
Students should be able to state and apply the parallel-axis theorem.
9

23
© 2012 The College Board. Visit the College Board on the Web: .
Objectives for the AP
®
Physics Courses
AP Course
B
C
3.
Rotational kinematics and dynamics
a)
Students should understand the analogy between translational and rotational
kinematics so they can write and apply relations among the angular acceleration,
angular velocity, and angular displacement of an object that rotates about a fixed
axis with constant angular acceleration.

#### You've reached the end of your free preview.

Want to read all 93 pages?

- Spring '15
- Unknow
- Physics, AP, Harlan Hanson