Name _ CM' &
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ES 214
Exam II
January 20, 2022
Problem Score
1 38 /46
2 38 /44
3 10 /10
Total 86 /100
Instructions
e The exam is closed-book and closed-notes.
e No personally crafted help sheets are allowed. You may only use the provided equation
sheet packet, but you’re welcome to annotate the equation sheets and include additional
notes as you see fit.
* You may use your calculator.
e No scratch sheets are allowed. All work is to be shown in this test booklet.
e Show all of your work for maximum credit. Answers without clear support receive little
credit.
e When you’re finished, turn in both your test booklet and your equation sheet packet.
, 2|
ES 214 Exam 11 Problem 1
A uniform rectangular plate (mass m,) is pinned at one of
its corners to a fixed pivot 0. At the instant shown (when
the longer edge of the plate is aligned horizontally), the
plate is rotating counterclockwise (U) with angular speed
wy just before it collides at the depicted location with a
small ball (mass m,) traveling with velocity vy (v 26).
.The plate and ball do not stick upon collision; the
corresponding coefficient of restitution is e. Neglect
friction everywhere.
\
ml: (I
et up the scalar equations necessary to determine the
plate’s angular velocity immediately after collision.
List the equation numbers and unknowns. Do not solve the equations.
En_O_WB.: my, My, A, Wy (U)s Vo (‘!)’ 9’ e L
(o L m,"if/ (o fe Einite, k,‘,\ama!.‘ €5 4 /’; ’
?1/«/}8701: . =0
(oLn
s
Fratlen
§ 4
;’éfll :
7
l/"/
(b=dsdar (2)
575}(,« s /gllfl‘( & b/‘b{
> 4
AN
.&
)
j, - Vg 058 1M,Up- ws§) =
Tox [l\
not needd,
" ll\,('lmZ Vb"fl — 4 VP‘£0§¢) - (
- Toy (2)
-y SN, Vp- wai)
3 :(ML'VQ/‘\ = M|'VP\ 'S("\d’) r (
(o abwk pointO:
//_,__,
)= (30 506 e T
v
/ P —
v’
e
)\/\
e
—
\ \
-—.‘L{)/! é"‘
6“ !fi‘_v& / O -
\ Ve \mpgct po|n+~0 need hunematig’
-4
b : ,( “FwAaw O
ES 214
Exam II
January 20, 2022
Problem Score
1 38 /46
2 38 /44
3 10 /10
Total 86 /100
Instructions
e The exam is closed-book and closed-notes.
e No personally crafted help sheets are allowed. You may only use the provided equation
sheet packet, but you’re welcome to annotate the equation sheets and include additional
notes as you see fit.
* You may use your calculator.
e No scratch sheets are allowed. All work is to be shown in this test booklet.
e Show all of your work for maximum credit. Answers without clear support receive little
credit.
e When you’re finished, turn in both your test booklet and your equation sheet packet.
, 2|
ES 214 Exam 11 Problem 1
A uniform rectangular plate (mass m,) is pinned at one of
its corners to a fixed pivot 0. At the instant shown (when
the longer edge of the plate is aligned horizontally), the
plate is rotating counterclockwise (U) with angular speed
wy just before it collides at the depicted location with a
small ball (mass m,) traveling with velocity vy (v 26).
.The plate and ball do not stick upon collision; the
corresponding coefficient of restitution is e. Neglect
friction everywhere.
\
ml: (I
et up the scalar equations necessary to determine the
plate’s angular velocity immediately after collision.
List the equation numbers and unknowns. Do not solve the equations.
En_O_WB.: my, My, A, Wy (U)s Vo (‘!)’ 9’ e L
(o L m,"if/ (o fe Einite, k,‘,\ama!.‘ €5 4 /’; ’
?1/«/}8701: . =0
(oLn
s
Fratlen
§ 4
;’éfll :
7
l/"/
(b=dsdar (2)
575}(,« s /gllfl‘( & b/‘b{
> 4
AN
.&
)
j, - Vg 058 1M,Up- ws§) =
Tox [l\
not needd,
" ll\,('lmZ Vb"fl — 4 VP‘£0§¢) - (
- Toy (2)
-y SN, Vp- wai)
3 :(ML'VQ/‘\ = M|'VP\ 'S("\d’) r (
(o abwk pointO:
//_,__,
)= (30 506 e T
v
/ P —
v’
e
)\/\
e
—
\ \
-—.‘L{)/! é"‘
6“ !fi‘_v& / O -
\ Ve \mpgct po|n+~0 need hunematig’
-4
