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