# Daily Schedule - Spring 2023

ME 274: Spring 2023

This page is set up to provide you with links to course material that is directly related to each class period. Please use this as a guideline for your daily work in the course. For your convenience, links to the homework (assignments, discussion threads and solution videos) are provided on this page also.

NOTE
Homework problem statements will appear on the Homework/Discussion page at 10:00 AM of the date of the homework assignment (links to these pages are also found below in the Daily Schedule boxes). These homeworks are to be submitted to Gradescope by 11:59 PM on the due date (the day of the first regular class following the assignment). Solution videos will appear on the Homework/Discussion page on the day following the sets' due dates.

WEEK 1

## Monday, January 9 Particle kinematics: Cartesian description

Lecture book reading: Section 1.A
Lecture book example video: Example 1.A.1
Lecture book example video: Example 1.A.2
Lecture book c
onceptual questions: C1.2
Concluding remarks: Cartesian description

## Wednesday, January 11 Particle kinematics: path description

Lecture book reading: Section 1.A
Lecture book example video: Example 1.A.3
Animation: path description of motion
Animation: motion on a curvy path
Lecture book conceptual questions: C1.1, C1.3, C1.4, C1.5

Concluding remarks: path description

## Friday, January 13 Particle kinematics: polar description

Lecture book reading: Section 1.A
Lecture book example video: Example 1.A.4
Animation: polar description of motion
Lecture book conceptual questions:
C1.6, C1.8

Concluding remarks: polar description

WEEK 2

## Wednesday, January 18 Particle kinematics: joint descriptions

Lecture book reading: Section 1.C
Lecture book example video: Example 1.C.1
Lecture book example video: Example 1.C.2
Lecture book example video: Example 1.C.3

Lecture book example video: Example 1.C.4
Animation: joint description
Lecture book conceptual questions:
C1.7, C1.9

Concluding remarks: joint description

## Friday, January 20 Particle kinematics: constrained and relative motion

Lecture book reading: Section 1.D
Lecture book video: Example 1.D.1
Lecture book video:
Example 1.D.2

Lecture book video: Example 1.D.3
Lecture book video: Example 1.D.4
Lecture book video: Example 1.D.5
Lecture book video: Example 1.D.6

Animation: constrained motion
Animation: relative motion
Visualizing Mechanics: cable-pulley system kinematics
Lecture book conceptual questions:
C1.10, C1.11, C1.12

Concluding remarks:relative and constrained motion

WEEK 3

## Monday, January 23 Planar kinematics: rigid bodies

Lecture book reading: Section 2.A
Lecture book video: Example 2.A.1
Lecture book video: Example 2.A.2
Lecture book video: Example 2.A.3
Lecture book conceptual questions:
C2.1
Concluding remarks: rigid body kinematics-1

Homework H2.A
Homework H2.B

## Wednesday, January 25 Planar kinematics: rigid bodies

Lecture book reading: Section 2.A
Lecture book video: Example 2.A.4
Lecture book video: Example 2.A.5

Lecture book video: Example 2.A.6
Lecture book video: Example 2.A.7
Animation: rolling without slipping
Visualizing Mechanics: rolling without slipping
Lecture book conceptual questions:
C2.2, C2.3, C2.11, C2.12, C2.14
Concluding remarks: rigid body kinematics-2

Homework H2.C
Homework H2.D

## Friday, January 27 Planar kinematics: rigid bodies

Lecture book reading: Section 2.A
Lecture book video: Example 2.A.6
Lecture book video: Example 2.A.8
Lecture book video: Example 2.A.9
Lecture book video: Example 2.A.10

Lecture book conceptual questions:
C2.15
Concluding remarks: rigid body kinematics-2

Homework H2.E
Homework H2.F

WEEK 4

## Monday, January 30 Planar kinematics: rigid bodies (instant centers)

Lecture book reading: Section 2.B
Lecture book video: Example 2.B.1
Lecture book video: Example 2.B.2
Lecture book video: Example 2.B.3
Lecture book video: Example 2.B.4
Lecture book video: Example 2.B.5
Lecture book video: Example 2.B.6
Additional IC examples w/ solutions
Animation: ICs of four-bar mechanism
Animation: ICs of slider-crank mechanism
Animation: rolling w/o slipping vs. rolling w/ slipping
Visualizing Mechanics: instant centers
Lecture book conceptual questions:
C2.4, C2.5, C2.6, C2.7, C2.8, C2.9, C2.10, C2.13
Concluding remarksrigid body kinematics-ICs

## Wednesday, February 1 Planar kinematics: rigid bodies (summary)

Lecture book reading: Section 2.C
Lecture book video: Example 2.C.1
Lecture book video: Example 2.C.2
More additional IC examples w/ solutions
Animation: zero velocity vs. zero acceleration
Animation: general 2D rigid body motion
Lecture book conceptual questions:
C2.15
Concluding remarks: rigid body kinematics-4

## Friday, February 3 Moving reference frame kinematics: 2D

Lecture book reading: Section 3.A
Lecture book video: Example 3.A.1
Lecture book video: Example 3.A.2
Lecture book video: Example 3.A.3
Lecture book video: Example 3.A.4
Animation: views from different reference frames
Lecture book conceptual questions:
C3.1
Concluding remarks: 2D moving reference frames

Homework H3.A
Homework H3.B

WEEK 5

## Monday, February 6 Moving reference frame kinematics: 2D

Lecture book reading: Section 3.A of the lecture book
Lecture book video: Example 3.A.5
Lecture book video: Example 3.A.6
Lecture book video: Example 3.A.7
Animation: the merry-go-round reference frame
Visualizing Mechanics: the merry-go-round reference frame
Animation: MRFs - aircraft problem
Lecture book conceptual questions:
C3.2
Concluding remarks:
2D moving reference frames

Homework H3.C
Homework H3.D

## Friday, February 10 Moving reference frame kinematics: 3D

Lecture book reading: Section 3.B of the lecture book
Lecture book video: Example 3.B.1
Lecture book video:
Example 3.B.2
Lecture book video: Example 3.B.3
Lecture book video:
Example 3.B.4
Lecture book video: Example 3.B.5

Lecture book conceptual questions:
C3.3, C3.4

Concluding remarks: 3D moving reference frames

WEEK 6

## Monday, February 13 Moving reference frame kinematics: 3D

Lecture book reading: Section 3.B of the lecture book
Lecture book video: Example 3.B.6
Lecture book video: Example 3.B.7
Lecture book video: Example 3.B.8

Animation: angular acceleration of a gyroscope disk

Lecture book conceptual questions:
C3.3, 3.5, C3.6

Concluding remarks: 3D moving reference frames

Homework H3.G
Homework H3.H

## Wednesday, February 15 Moving reference frame kinematics: 3D

Lecture book reading: Section 3.B of the lecture book
Lecture book video: Example 3.B.9
Lecture book video: Example 3.B.10
Lecture book video:
Example 3.B.11
Lecture book conceptual questions: C3.3, 3.5, C3.6

Concluding remarks: 3D moving reference frames

Homework H3.I
Homework H3.J

## Friday, February 17 Particle kinetics: Newton's laws

Lecture book reading: Section 4.A of the lecture book
Lecture book video: Example 4.A.1
Lecture book video: Example 4.A.2
Lecture book video: Example 4.A.3
Lecture book video: Example 4.A.4
Lecture book video: Example 4.A.5
Animation: influence of speed on reactions
Lecture book conceptual questions:
C4.2
Concluding remarks: Newton's laws

WEEK 7

## Monday, February 20 Particle kinetics: Newton's laws

Lecture book reading: Section 4.A of the lecture book
Lecture book video: Example 4.A.6
Lecture book video: Example 4.A.7
Lecture book video: Example 4.A.8
Lecture book video: Example 4.A.9
Lecture book video: Example 4.A.10
Animation: reaction due to Coriolis component of acceleration
Lecture book conceptual questions:
C4.3, C4.4
Concluding remarks: Newton's laws

## Wednesday, February 22 Particle kinetics: Newton's laws

Lecture book reading: Section 4.A of the lecture book
Lecture book video: Example 4.A.11
Lecture book video: Example 4.A.12
Lecture book video: Example 4.A.13
Lecture book video: Example 4.A.14
Lecture book video: Example 4.A.15
Visualizing Mechanics: the water bucket experiment
Lecture book conceptual questions:
C4.1
Concluding remarks: Newton's laws

## Friday, February 24 Particle kinetics: work/energy

Lecture book reading: Section 4.B of the lecture book
Lecture book video: Example 4.B.1
Lecture book video: Example 4.B.2
Lecture book video: Example 4.B.3
Lecture book video: Example 4.B.4
Lecture book video: Example 4.B.5
Animation: energy conservation
Visualizing Mechanics: ballistic pendulum
Lecture book conceptual questions:
C4.5
Concluding remarks: work/energy

Homework H4.H

WEEK 8

## Monday, February 27 Particle kinetics: work/energy

Lecture book reading: Section 4.B of the lecture book
Lecture book video: Example 4.B.6
Lecture book video: Example 4.B.7
Lecture book video: Example 4.B.8

Animation: you can't push on a string
Visualizing Mechanics: roller coaster hill
Lecture book conceptual questions:
C4.6
Concluding remarks: work/energy

## Wednesday, March 1 Particle kinetics: linear impulse momentum

Lecture book reading: Section 4.C of the lecture book
Lecture book video: Example 4.C.1
Lecture book video: Example 4.C.2
Lecture book video: Example 4.C.3
Lecture book video:Example 4.C.4
Animation: conservation of linear momentum
Lecture book conceptual questions: C4.7, C4.9, C4.26
Concluding remarks: linear impulse/momentum

## Friday, March 3 Particle kinetics: linear impulse momentum

Lecture book reading: Section 4.C of the lecture book
Lecture book video: Example 4.C.5
Lecture book video: Example 4.C.6
Lecture book video:
Example 4.C.7
Lecture book video: Example 4.C.8
Lecture book video: Example 4.C.9
Visualizing Mechanics: conservation of linear momentum
Lecture book conceptual questions: C4.25
Concluding remarks: linear impulse/momentum

Homework H4.M
Homework H4.N

WEEK 9

## Monday, March 6 Particle kinetics: central impact

Lecture book reading: Section 4.C of the lecture book
Lecture book video: Example 4.C.10
Lecture book video: Example 4.C.11
Lecture book video:
Example 4.C12
Lecture book video: Example 4.C13
Animation: Impact drop tests
Animation: Pool ball impacts
Animation: Impacts and energy
Visualizing Mechanics: impacts
Visualizing Mechanics: impact forces
Lecture book conceptual questions: C4.8, C4.10, C4.11, C4.12, C4.16, C4.17, C4.18, C4.21, C.4.22, C4.23
Concluding remarks:  central impact

## Friday, March 10 Particle kinetics: angular impulse momentum

Lecture book reading: Section 4.D of the lecture book
Lecture book video: Example 4.D.1
Lecture book video: Example 4.D.2
Lecture book video: Example 4.D.3
Lecture book video: Example 4.D.4
Animation: Particle on an elastic band
Lecture book conceptual questions:
C4.13, C4.14
Concluding remarks: angular impulse/momentum

WEEK 10

## Monday, March 20 Particle kinetics: angular impulse momentum

Lecture book reading: Section 4.D of the lecture book
Lecture book video: Example 4.D.5
Lecture book video: Example 4.D.6
Lecture book video: Example 4.D.7
Animation: orbital motion
Lecture book conceptual questions:
C4.15, C4.24
Concluding remarks: angular impulse/momentum

Homework H4.T

## Wednesday, March 22 Rigid body kinetics: Newton/Euler

Lecture book reading: Section 5.A of the lecture book
Lecture book video: Example 5.A.1
Lecture book video: Example 5.A.2
Lecture book video: Example 5.A.3
Lecture book video: Example 5.A.4
Lecture book video: Example 5.A.5
Animation: friction dynamics
Lecture book conceptual questions:
C5.1, C5.2, C5.3, C5.4, C5.5
Concluding remarks: Newton/Euler equations

## Friday, March 24 Rigid body kinetics: Newton/Euler

Lecture book reading: Section 5.A of the lecture book
Lecture book video: Example 5.A.11
Lecture book video: Example 5.A.12
Lecture book video: Example 5.A.13
Lecture book video: Example 5.A.14
Animation: out-of-balance forces
Visualizing Mechanics: radius of gyration
Lecture book conceptual questions:
C5.11, C5.12, C5.13
Concluding remarks: Newton/Euler equations

Homework H5.D

WEEK 11

## Monday, March 27 Rigid body kinetics: Newton/Euler

Lecture book reading: Section 5.A of the lecture book
Lecture book video: Example 5.A.15
Lecture book video: Example 5.A.16
Lecture book video: Example 5.A.17

Animation: center of percussion
Visualizing Mechanics: impending motion of a spool
Visualizing Mechanics: effects of sliding friction on motion of rigid body
Lecture book conceptual questions:
C5.14, C5.15, C5.16
Concluding remarks: Newton/Euler equations

Homework H5.F

## Wednesday, March 29 Rigid body kinetics: work/energy

Lecture book reading: Section 5.B of the lecture book
Lecture book video: Example 5.B.1
Lecture book video: Example 5.B.2
Lecture book video: Example 5.B.3
Lecture book video: Example 5.B.4
Lecture book video: Example 5.B.5
Lecture book conceptual questions:
C5.17, C.5.18, C5.19
Concluding remarks: work/energy

## Friday, March 31 Rigid body kinetics: work/energy

Lecture book reading: Section 5.B of the lecture book
Lecture book video: Example 5.B.6
Lecture book video: Example 5.B.7
Lecture book video: Example 5.B.8
Lecture book video: Example 5.B.9
Lecture book video: Example 5.B.10
Animation: friction and work
Lecture book conceptual questions:
C5.20, C5.21
Concluding remarks: work/energy

WEEK 12

## Monday, April 3Rigid body kinetics: impulse momentum

Lecture book reading: Section 5.C of the lecture book
Lecture book video: Example 5.C.1
Lecture book video: Example 5.C.2
Lecture book video: Example 5.C.3
Lecture book video: Example 5.C.5

Concluding remarks: impulse/momentum

Homework H5.L

## Wednesday, April 5 Rigid body kinetics: impulse momentum

Lecture book reading: Section 5.C of the lecture book
Lecture book video: Example 5.C.6
Lecture book video: Example 5.C.7
Lecture book video: Example 5.C.8
Lecture book video: Example 5.C.9
AnimationEnergy and momentum conservation
Concluding remarks: Impulse/momentum

Homework H5.N

## Friday, April 7 Rigid body kinetics: summary

Lecture book reading: Section 5.C of the lecture book
Review material: kinetics methods table
Review material: rapid fire questions
Review material: conceptual questions
Concluding remarks: kinetics review

Homework H5.P

WEEK 13

## Monday, April 10 Vibrations: EOMs

Lecture book reading: Section 6.A of the lecture book
Lecture book video: Example 6.A.1
Lecture book video: Example 6.A.2
Lecture book video: Example 6.A.3
Animation: Review of problems exhibiting oscillatory motion
Animation: Drawing FBDs for vibrations
Lecture book conceptual questions:
C6.1
Concluding remarks: EOMs

Homework H6.B

## Wednesday, April 12 No class: due to evening exam

 Friday, April 14 Vibrations: free response  Lecture book reading: Section 6.B of the lecture book Lecture book video: Example 6.B.1 Lecture book video: Example 6.B.2 Lecture book video: Example 6.B.3 Lecture book video: Example 6.B.4 Lecture book video: Example 6.B.5 Animation: Static deformation and EOMs Animation: More on static deformation and vibrations Lecture book conceptual questions: C6.2, C6.3, C6.4, C6.8, C6.14, C6.15 Concluding remarks: Free, undamped response Homework H6.D

WEEK 14

 Monday, April 17 Vibrations: free response  Lecture book reading: Section 6.B of the lecture book Lecture book video: Example 6.B.6 Lecture book video: Example 6.B.7 Lecture book video: Example 6.B.8 Lecture book video: Example 6.B.9 Lecture book conceptual questions: C6.5, C6.7, C6.8, C6.9 Concluding remarks: free, damped free response Homework H6.E Homework H6.F
 Wednesday, April 19 Vibrations: free response  Lecture book reading: Section 6.B of the lecture book Lecture book video: Example 6.B.10 Lecture book video: Example 6.B.11 Lecture book video: Example 6.B.12 Lecture book video: Example 6.B.13 Lecture book video: Example 6.B.14 Lecture book conceptual questions: C6.10, C6.11, C6.16 Concluding remarks: free, damped free response Homework H6.G Homework H6.H
 Friday, April 21 Vibrations: forced response Lecture book reading: Section 6.C of the lecture book Lecture book video: Example 6.C.1 Lecture book video: Example 6.C.4 Lecture book video: Example 6.C.5 Lecture book video: Example 6.C.6 Lecture book video: Example 6.C.7 Animation: Forced response due to harmonic excitation Lecture book conceptual questions: C6.12 Concluding remarks: Forced response 1 Homework H6.I Homework H6.J

WEEK 15

 Monday, April 24 Vibrations: forced response Lecture book reading: Section 6.C of the lecture book Lecture book video: Example 6.C.8 Lecture book video: Example 6.C.9 Animation: Base excitation: two-story building response Visualizing Mechanics: base-excited motion Lecture book conceptual questions: C6.6, C6.13 Concluding remarks: Forced response 2 Homework H6.K Homework H6.L
 Wednesday, April 26 Vibrations: forced response Lecture book reading: Section 6.C of the lecture book Lecture book video: Example 6.C.10 Lecture book video: Example 6.C.11 Lecture book video: Example 6.C.12 Animation: Base excitation: three-story building response Lecture book conceptual questions: C6.6, C6.13 Concluding remarks: Forced response 2 Homework H6.M Homework H6.N
 Friday, April 28 Course overview