AP Both Unit 8 - Simple Harmonic Motion
Monday 1/11/21
no livestream
students made predictions of graphs of F,a,v, and x (all vs. t) for a mass oscillating without friction attached to a spring (all on a horizontal surface) ... the worksheet is here ... also made predictions for mass oscillating on a vertical spring
discussed what graphs of Uel, K, and Etot for a mass oscillating w/o friction attached to a spring
since students observed that the graphs above looked like sin and cos functions, we discussed what x(t)=Acos(wt+phi) looks like on desmos...noticed that A represents the amplitude, w is related to the frequency, and phi is the phase shift.
discussed the solutions for x(t), v(t), and a(t) for a mass oscillating on a horizontal frictionless surface (we guessed a solution of the form x(t)=Acos(wt+phi) )
Tuesday 1/12/21
no livestream
select students took retake for Mechanics Exam 5. Non-testing students worked on Mooney gravitation review packet.
reviewed deriving the solutions for x(t), v(t), and a(t) for a mass oscillating on a horizontal frictionless surface (we guessed a solution of the form x(t)=Acos(wt+phi) )
discussed how to find K(t) and Uel(t)...found Etot(t) by adding K(t) and Uel(t)...discovered the total energy is constant and is equal to (1/2)kA^2
Wednesday 1/13/21
no livestream
discussed connection of SHM to uniform circular motion with this video
worked a problem with initial conditions given at t=0, x(0), and v(0), k, and m...found w,T,A,phi
showed how the simple pendulum is a SHO and determined the general solution...here is a link that explains the important small angle approximation
derived solution for physical pendulum using torques
revisited simple pendulum as a physical pendulum to show period was the same as when it was analyzed using forces
introduced three examples of a physical pendulum: stick, hoop, and disk
watched video of comparison of stick pendulum vs. traditional pendulum
students spent any time left over working on Gravitation review packet from Mooney
Thursday 1/14/21
no livestream
discussed three examples of a physical pendulum: stick, hoop, and disk and determined their periods using the physical pendulum result
reviewed how a simple pendulum can be treated as a physical pendulum
discussed how we could use the torque=I*alpha method to find the physics of a stick, hoop, and disk
watched video of comparison of stick pendulum vs. traditional pendulum
discussed torsion pendula
reviewed all derived equations for SHM (x,v,a,Uel,K,Etot)
discussed vertical mass/spring systems (result is that the period, y(t), etc. is determined exactly the same as if the system were horizontal) ... played around with vertical springs using this simulation
discussed how we determine v_max and a_max (and of course, x_max)
discussed additional numerical examples of a SHO from the blue slides in the notes
showed how to find A and phi given w, xi, and vi
started working practice problems in notes w/ numbers
Friday 1/15/21
no livestream
worked many practice problems in notes w/ numbers
students worked problems from HRW SHM problems 1-7, 9,10,12,13,16,17
Tuesday 1/19/21
no livestream
students took first full MC exam
discussed solutions to MC questions from Mechanics Exam 5
students continued working problems fromHRW SHM problems1-7, 9,10,12,13,16,17No Recording Today
Wednesday 1/20/21
discussed practice FR questions from Unit 8 Notes
students continued working problems from HRW SHM problems 1-7, 9,10,12,13,16,17
Thursday 1/21/21
eLearning
Asynchronous Learning Day: Follow directions below...you don't have to submit anything to Google Classroom today.
watch Today's Recording below...
continue working problems from HRW SHM problems 1-7, 9,10,12,13,16,17
Today's Recording (about 20 minutes)
Friday 1/22/21
eLearning
Asynchronous Learning Day: Follow directions below...you don't have to submit anything to Google Classroom today.
watch Today's Recording below...
continue working problems from HRW SHM problems 1-7, 9,10,12,13,16,17
finish E and M Mastering assignments due tonight
Today's Recording...(about 42 minutes)
Monday 1/25/21
discussed solutions to HRW SHM problems 1-7, 9,10,12,13,16,17
worked additional SHM and Gravitation problems
discussedsprings in series and paralleldiscussed solutions to M30 and M31
Tuesday 1/26/21
livestream
quick review of gravitation and SHM topicsstudents took Mechanics Exam 6
Today's Recording
Wednesday 1/27/21
livestream
discussed springs in series and parallel
discussed solutions to M30 and M31
students did text corrections on first full MC exam
Today's Recording
Thursday 1/28/21
livestream
see recording