2009 Advanced
Physics Rotational
Name:
Motion Test
_
y
10,0)
v
----------~.---,
Questions 8-10
A cylinder
m
rotates with constant angular acceleration
about a fixed axis. The cylinder's momcnt of inertia
about the axis is 4 kg m'. At time 1 = 0 the cylinder is
at rest. At time t = 2 seconds its angular velocity is
1 radian pcr scwnd.
8.
What is the angular acccleration of the cylinder
between t = 0 and t = 2 scconds'!
(A) 0.5 radian/s'
(B) 1 radian/s'
(C) 2 radian/s'
(D) 4 radian/5'
9.
--o,+-------+---"-7.
x. x
12. A particle of mass m moves with a constant speed v
along the dashed line y = a. When the x-coordinate of
the pal1icle is xu. the magnitude of the angular
momentum of the particle with respect to the origin of
the system is
(A) zero
(B) lIlm
(C) lIlVX"
(E) 5 radian/s'
(E)
Jxr/
What is the angular mon,cntum of the cylinder a1 time
t = 2 seconds?
(A) I kg m'/s
(B) 2 kg m'/s
(C) 3 kg m'/s
(D) 4 kg m'/s
11/1'0
2
+0
(E) It cannot be determined without
knowing the radius of the cylinder.
10. What is the kinetic energy of the cylinder at timc t = 2
seconds'!
(A)IJ
(B)2J
(C)3J
(D)4J
(E) cannot be detennined without knowing the radius
of the cylinder
11. A bowling ball of mass M and radius R. whose
moment of inertia about its center is (2/5)MR'. rolls
without slipping along a level surface at speed v. The
maximum vertical height to which it can roll if it
ascends an incline is
(A) ..'::...
5g
(D)
71"
109
(B)
,.
J
5g
(e) ~
2g
\'~
(E) _
g
3.6 ~
\0 \)
~~.
I ID
1[
~
4JadW-
v/'I~
'f-/I1JDJW
,
.
__
0'-1. l'Vl2-a~_Ce 2
(,~~
-:
D __
).dn</~ 2-
,0")~,;LD-Y..S_t2:-ii-)_qf~J1~.-".I. :t'?m l&~_
t;.?-
/
(rYl3_-LLCr!,-",g'-L)--,=~,-2----"du-) _S-V_'-..-1V1,-S_I,
Reed / N /JYt.'flfld
st-~_CJ;U~
0...
Wor
4l~ ~
rMIll, .
CJ{tcdtr
tnltwU~~iiuf#d-
_1~ti3'In 2)
c..)
=
,
-
..
.:1-----
N9
[m ~
-,11.•.
-\o-"L)~mUj-fj
-iiJ'--t =
-~
\~_l1J{j'11'
m.J!!!l~)
-d/111--btl.t
_'
=
h~i ) C( == /}11. 9
I"
c2
z..
Iq8q Ci.\~v'~~Q1{} - d~)
G.}_o.,.i
d J_OL9s.&15_v
1~ rn ?J~L2mL2. b)
_ 2ea) 1l1?'
Lew
0.\
I
'I-I'
25-L
WI"
M2-c:J!---6- .'
"'I tf/1,
S'(Ylv~
_
_
G) E'!JM' d1ufS__
Q ~_ ;).g.r. 1
;7 Ie 7- t- /..:l--
1i
LOt
2-
~2--
~YYlfj -
~ 111ft-i.j~~t~-l'b£I~
.
Ie=. Z.rrIB~h)it'Lt1Lj-1J
G:.J-'j
f}1(
g
i ,.
~~~,_'1.-
_
~-------------
J~_-~-25-<-~JV-L)J1JL2.(Uj-!J1~d)21
r,,~_
.
~~i('~------------
_ 8SuJ1 ~_)_O'J_1o(Y\~LL1.-h~t=!i)LJtLgL c L3JLU2o
=1.9q2-m4£4~)-3-rlL~.Q..---Ji)..l..~ e.-)-w
__________
.5.t
e-)
_1
~ )A.~
9~~---dJ:)~3-ol'n-,.8-e->
~L
_
'3"3
r.
~3-\.A..Y-!-------------
_ rno3 M3-Clii)3.lJlt'\-b-J~f_~S j
_l
_
----'C,"'-,l.._tx:
-.Lit, 111
- /I }&
5r
1Y\(1-1-
n ;).qy r)q ,yen
..
ii i \ t~,
EJ-;-rs-0-LJ-31~YI.
_.-
/1. UI1-IIft';
5 ;./1'02-
.
.
. i2ot[
&rJ-
A-vt<;,.
J5B'1- iYl?, a)_lf~_rxd(~~
l
f-
I J.c:fh Ik1--:>--LW
1.
~~L4)
~.()SL1lL~)J1-~-ttls~d)&Q
(j
01~v=- M1dw
c,)
3_d) '73 d..,.
(3
~l-
55i"e
2a1~1b~Ja.\
z.
19) v:;J-9 L 51~ti
c) L.J-1H/n{f
r.t)~LO flliP.\.
J~SlaJrl1J-C{--w
5YVl£j\-\
--::I-
e-J
.2CD;lfY12.-a"}
-
-
.
-
-
iYl
h)i 5fu51Y14~L~-~,sltttL
\rj_~
J...
7-
1-
@h-dS~ieduL
-
YY\ll.,
:2
- (J=r~I:~_dlGn1JJ~OWl-b)l~
Ci'>1
T Jrejw'\
,I
0
=f[
J~J-l'
a
--
M
1.-
d
-
,
d'r
_'L-
L--
-3
'{.3
rY)L1-
---3
b
i~
L/L
L./z..
_ .-- _ L.(~
,1./•.
Y'r\
---
3L
')l!
lfl
3
L?
L
_f-
ro
-i L'lf
XV
'6
--
-
YH /.,1-
12....-
Vj,1
_!VI
-
-
L

1%轟ミ僣≒≧権裏