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PH 1110
Term A010
STUDY GUIDE 4: Equilibrium, Angular Kinematics, and Dynamics
Objectives
25. Define torque.
Solve problems involving objects in static equilibrium.
26. Define angular displacement, angular velocity and angular acceleration.
Given the graph or the
functional form of one of the quantities versus time, determine the graphs of the other two.
Describe
in words and equations the motion from an analysis of one or more of the graphs.
27. Define moment of inertia, and solve problems involving rotational motion of rigid bodies subject to a
net torque.
28. Calculate the angular momentum, relative to a specified axis, of a point mass traveling in a straight
line.
29. Calculate the angular momentum of a rigid body whose angular velocity is specified.
30. Solve problems using the law of conservation of angular momentum.
Suggested Study Procedure for Chapter 11.
Study
Sec. 10.1 first; then
Study
Secs. 11.1 through 11.3.
Study
Example 10.1, and then Examples 11.1 through 11.4.
Answer
Discussion Questions 2, 9, 11, 12 in Chapt. 11.
Do
Exercises 10.1, 10.3, and then Exercises 11.5, 11.13, 11.15, 11.19.
Do
Problems 49, 59, 65, 67, 73 in Chapt. 11.
A. So far we've ignored ONE LITTLE DETAIL about motion: that objects can ROTATE as well as
TRANSLATE.
We'll TURN to that little detail in this last section of the course.
Perhaps you will be
happy to hear that we don't really need any new theory for this. We just need to recast all of the old
familiar ideas into angular terms.
That's one of the things we'll be illustrating and emphasizing a lot in
lecture and conference meetings.
B. We think that it is preferable to consider STATIC EQUILIBRIUM first before letting objects
experience angular acceleration, so we're going to deviate just a bit from the order of topics in the text,
first by studying Sec. 10.1 (for the definition of torque
), and then by skipping to Secs. 11.1 through
11.3 (for the application of torque
to static equilibrium
situations).
Note that the Problem-Solving
Strategy on p. 359 applies to ALL of the work covered in Sec. 11.3.
About all that changes from one
problem to the next is the geometry of the situation!
This is what takes some practice.
Suggested Study Procedure for Chapter 9.
Study
Secs. 9.1 through 9.4.
Study
the first nine Examples in Chapt. 9, Examples 1 through 9.
Answer
Discussion Questions 3, 4, 6, 7, 10.
Do
Exercises 1, 7, 9, 13, 19, 23, 25, 39, 47.
Do
Problems 83, 85, 87, 89.
A. As you study Secs. 9.1 through 9.4, keep in mind that ALL of the equations for rotational motion with
constant angular acceleration are identical in form to those of one dimensional motion with constant

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Table 9.1 is intended to help you learn the new set of angular symbols and to see
how they are interrelated in constant acceleration situations.
B. MOMENT OF INERTIA plays a role in rotational motion similar to that of MASS in translational

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