Lecture 9 - Rotations, Part I: Dynamics of Rigid Bodies
Overview:
Part I of Rotations. The lecture begins with examining rotation of rigid bodies in two dimensions. The concepts of "rotation" and "translation" are explained. The use of radians is introduced. Angular velocity, angular momentum, angular acceleration, torque and inertia are also discussed. Finally, the Parallel Axis Theorem is expounded.
Reading assignment:
Wolfson and Pasachoff, Physics with Modern Physics, chapter 10.
Lecture 8 - Dynamics of Multiple-Body System and Law of
Conservation of Momentum
Overview:
The dynamics of a many-body system is examined. Through a variety of examples, the professor demonstrates how to locate the center of mass and how to evaluate it for a number of objects. Finally, the Law of Conservation of Momentum is introduced and discussed. The lecture ends with problems of collision in one dimension focusing on the totally elastic and totally inelastic cases.
Reading assignment:
Wolfson and Pasachoff, Physics with Modern Physics, chapter 10.
The focus of the lecture is problems of gravitational interaction. The three laws of Kepler are stated and explained. Planetary motion is discussed in general, and how this motion applies to the planets moving around the Sun in particular.
Reading assignment:
Wolfson and Pasachoff, Physics with Modern Physics, chapter 9.
Lecture 6 - Law of Conservation of Energy in Higher Dimensions
Overview:
The discussion on the Law of Conservation of Energy continues but is applied in higher dimensions. The notion of a function with two variables is reviewed. Conservative forces are explained and students are taught how to recognize and manufacture them.
Reading assignment:
Wolfson and Pasachoff, Physics with Modern Physics, chapter 8.
Lecture 5 -Work-Energy Theorem and Law of Conservation of Energy
Overview:
The lecture begins with a review of the loop-the-loop problem. Professor Shankar then reviews basic terminology in relation to work, kinetic energy and potential energy. He then goes on to define the Work-Energy Theorem. Finally, the Law of Conservation of Energy is discussed and demonstrated with specific examples.
Reading assignment:
Wolfson and Pasachoff, Physics with Modern Physics, chapter 7.
Lecture 4 - Newton's Laws (cont.) and Inclined Planes
Overview:
The lecture begins with the application of Newton's three laws, with the warning that they are not valid for objects that move at speeds comparable to the speed of light or objects that are incredibly small and of the atomic scale. Friction and static friction are discussed. The dreaded inclined plane is dealt with head on. Finally, Professor Shankar explains the motion of objects using Newton's laws in specific problems related to objects in circular motion, such as roller coasters and a planet orbiting the Sun.
Reading assignment:
Wolfson and Pasachoff, Physics with Modern Physics, chapter 6.