Coordination between 303K lectures and 103M lab

1. 103M lab schedule

Week of lab Lab Subject Lecture Topic

Sep. 3	-	no lab	Vectors, Motion in 1-Dimension
Sep. 10		Introduction	1-D & 2-D Motion
Sep. 17	1	Random Motion	Laws of Motion
Sep. 24	2	Uniformly Accelerated Motion	Circ. Motion & Newton Laws
Oct. 1	3	Force and Potential Energy	Work & Energy
Oct. 8 Oct. 15	4	Collisions in One Dimensional Motion	Linear Momentum & Collisions Rotation, Ang. Mom, Torque
Oct. 22	5	Motion Under a Central Force	Rolling, more on Ang. Mom.
Oct. 29 Nov. 5	6	A Mechanical Oscillator	Oscillatory Motion: SHM … Fluid Mechanis
Nov. 12	7	Bernoulli's Principle	Wave-motion + Sound-waves
Nov. 19	-	no lab--Thanksgiving	Sound + Superposition Waves
Nov. 26	8	Sound	Standing Waves + Gravity
Dec. 3	*	Make-Up Week	Gravity

2. 303K course-materials which are specifically related to 103M-labs

Although Physics 303K and Physics 103M lab are two independent courses, we plan to have our 303K lectures support the 103M lab in following way. We will give instructors and TAs of 303K a copy of the 103M lab manual, and ask them to make reference to the on-going experiments in 103M. Different instructors could do it differently. Below is one scenario which we have worked out to illustrate how this cross reference may be done. (The labels of equations and chapters given below are based on the current textbook, i.e. the 5th edition of Serway.)

• Experiment 2: Uniform acceleration. During the class-period when we begin chapter 5 (which will be one week before the experiment-week), we plan to mention the incline plane problem of example 5.6 of Sec. 5.7. We will show that the relationship: a=gsinq, which is the basic expression used in this experiment.
• Experiment 3: Force and potential energy. The basic equation here is F=-dU/dx, where U is the potential energy function. We plan to group chapter 7 and chapter 8 together under the heading of: "applications of the work-energy theorem" Ei->f=Kf-Ki +Uf-Ui + Di->f. See eq. 8.15 in Sec. 8.5. To provide a timely support to this experiment, we plan to consider the special of case of “motion along an inclined plane” right away, which is about one week before the experiment, that DE=FDx= -DU, with x being along the direction parallel to the incline plane. This leads to the basic equation mentioned above, that F=-dU/dx,
• Experiment 4: Collisions in one dimension. This experiment verifies the law of conservation of linear momentum in one dimensional collisions. The theory of conservation of linear momentum in a collision processes is discussed in Sec. 9.1 through 9.4. Notice that this is the only case where the lecture will be slightly lagging behind the lab. We plan to mention this experiment in the very first lecture of chapter 9.
• Experiment 5: Motion under a central force. In this experiment an air puck is moving under the influence of a "central force". Through careful measurements, one verifies to what extent the angular momentum of this motion is conserved. During the lecture, after we have arrived at eq. 10.21 of section 10.7, (about one week before the experiment) we plan to make a digression in the following way.
• Analogous to the linear motion case, where the ”force equations” are given by F=ma=d(mv)/dt=dp/dt, for the rotation case there is the corresponding “the torque equations” are given by: i.e. t=Ia=d(Iw)/dt=dL/dt.
• The lesson here is that when there is no "external" torque applied to a rotating system, the angular momentum of the system is conserved, i.e. L= constant.
• We plan to further digress to consider the motion of a point-mass under the influence of a central force F. The torque exerted on this mass is given by t=r x F, see eq. 11.7. For a central force, this cross product vanishes. So the torque vanishes, or the corresponding angular momentum is constant. This is the underlining theory of the experiment.
• Experiment 6: A mechanical oscillation. In this lab an air puck is connected to a spring system. One verifies whether the motion follows a SHM. A reference to this experiment can be made in the first class of chapter 13.
• Experiment 7: Bernoulli's principle. The goal in chapter 15 is mainly to cover Bernoulli's principle and those concepts in fluid mechanics necessary for leading up to this principle. We plan to discuss this chapter and make reference to this experiment during the week before the experiment.
• Experiment 8: Sound. The chapter on sound will be covered one week before the experiment.