CHƯƠNG 1: DAO ĐỘNG ĐIỀU HOA
1. ĐẠI CƯƠNG DAO ĐỘNG ĐIỀU HÒA
Câu 1: !"#$%&&'()
*+,%-.//0
"1'(/2&3,"
4"5'()*+6,"
7"1'(/2&3)8,"
9"5'()*+,"
Câu 2::;<"7%-//05'()*+=%,*+.
/33>1-?8 "<@A 4"<@B 7"<@C 9"<@D
Câu 3:E?8:>F
 B G  H
D
π
= π +
G(*+8=(*+ H

"/0.E?8I?)8,"
4"E?8I?>&JB8"
7";/D " 
9"%,E?8&'()*+/B8@ "
Câu 4(ĐH 2013):K:85L&JMA8"9IF*>/
"N8" 4"AD8" 7"C8" 9"MA8"
Câu 5:E?8:F%/Dπ AπG8@ H"O%1'()*+"
%-6/0E?8F/%/P
"A8=." 4".=Dπ8@ 7"QA8=. 9".=QDπ8@ "
Câu 6:;5/
M
B8F%/
M
MA8@ =;5/

 GBTXT@CH8" 4"A
N
 GBTXT@CH8"
7"C GBTZT@CH8" 9"N
A
 GBTZT@NH8"
Câu 11(ĐH 2013): K:*>U8=;A "<&-?8
.=5)*+"Y,/
"
 U G  H
A
π
= π −
G8H 4"
 U GA  H
A
π
= π −
G8H
7"
 U GA  H
A
π
= π +
G8H 9"
 U G  H
A
π
= π +
Câu 12:\F8:F*>;<=8%-G.H//01'(*>=

= π +
 ÷
 
G(*+8(
*+)IH"<8)I3>b-?8.=E?85'(F/ZM8
"i/3" 4"C/3" 7"D/3" 9"U/3"
Câu 20(ĐH 2011):E?8:D" G
2π
3
t
HG(*+8j(
*+ H"\?b.=E?85'(F/QA8/3eA.MM&-?8
"N.MU " 4"C.N. " 7"N.MC " 9"C.NM "
A
Câu 21( ĐH 2011): E?8:>"<-NM=D E?82V6M..
3"O%-//0E?85'(F/A8)8%/
D. N
8@ "
kEIπN=MD"Y,E?8/
"
 C GA. H G8H
C
π
= −
4"
 D GA. H G8H
N
π
= +
7"

A
N
T
7"
N
T
9"
A
T
Câu 24(ĐH 2010):E?8:;<"<;`-lE;b'(*>
F/$'(
A
A−
=E?8F%*/
"
C
"
A
T
4"
m
"
A
A
T
7"
N
"
A
A

+ =
ω ω
" 9"
A A
A
A D



ω
+ =
ω
"
Câu 27::*>%2&
8
"<3 %F,/
"
8
v
A
" 4"
8
v
A
π
" 7"
8
A
v
A

"9p6,IF*>*+
"i8" 4"MM8" 7"Mi8" 9"AN8"
Câu 31:7oF/3/6/
M
NdN GUTZT@AHG8H

A
NdN GUTQT@AHG8H"4>p6,>*+
".8" 4"N8" 7"CdN8" 9"NdN8"
Câu 32(ĐH2008):7:o=o3 %=o*>F]*3/
N
π

C
π
−
"Y*3,p6>*+
"
A
π
−
4"
D
π
" 7"
C
π
" 9"
MA
π

x t
π
π
= +
G8H"9eF
//
"
A
B G H
C
x t
π
π
= +
G8H" 4"
A
A G H
C
x t
π
π
= +
G8H"
7"
A
U
A G H
C
x t
π

" 4"M8@
A
" 7".=i8@
A
" 9"U8@
A
"
D
Câu 37 (ĐH2012): R      o    /3  /6  F      
M
  
M
 G H
C
A t
π
π
+
G8H    
A
 
C G H
A
t
π
π
−
G8H"9p6,IF
 G Hx A t
π ϕ


M
 ωG8H
A

A
ωG8H"4$CD
A
M
x
ZNC
A
A
x
DB
A
G8
A
H"<&-?8=eE5'(F/

M
N8%
M
QMB8@ "\FeF%*+
"AD
N
8@ " 4"AD8@ " 7"B8@ " 9"B
N
8@ "
2. CON LẮC LÒ XO

Câu 44(ĐH 2007):/l/:t8F;%/68/:Fe;=:"#$r
e;/>A/3`8;%/68B/33 %, x
"rA/3" 4"`8A/3" 7"`8D/3" 9"rD/3"
Câu 45(CĐ 2009):/l/:Je:;.=D "\1'()*+=/:
DD8"kEIπ
A
G8@
A
H"72>,/:/
"NC8" 4"D.8" 7"DA8" 9"NB8"
Câu 46:/:Fe;M#@8Je"k3/6F;%/6EN/3
;)*+/:F/AA=U8Ai=U8"7M.8@
A
"7;,/l;
t-/
"T@N " 4"T@U " 7"T@D " 9"T@A "
U
Câu 47:/l/::*>
A
8"yK,/lF;%
/6M..=/:FeM..#@8"\KF%
M. M.
8@ %,FF//
"D8@
A
" 4"M.8@
A
" 7"A8@
A
" 9"U8@

T
"kEIπ
A
M."<3 %,/
"DRS" 4"NRS" 7"ARS" 9"MRS"
Câu 53(ĐH2009)::8%'G8%$r1'()*+H
"r,2&;%,F/2&"
4";b'()*+*>=%%,/goE"
7";1'()*+=$r,*+r"
9"$r,2&;1'(*>"
Câu 54:\8:
"/2;h]/>F/2&;1'()*+"
4"%,F/2&;1'()*+"
7"/2;h]/>F/|/V**>"
9"%,F/2&;1'()*+"
Câu 55: \8:=I?,b'(*>'()*+/I?
"3" 4"83" 7"3" 9"83"
Câu 56(ĐH2010):k2;h]/>8E?8:F/
"|/V/,//g'()*+"4"|/V**>"
7";gpIp" 9";gp"
Câu 57(ĐH2012): KF;%/6U..:],8/2;hF*?e}
Q.=B DG#H"9,F*>/
"C8 4"MA8 7"B8 9"M.8
Câu 58(CĐ 2013):K;%/6M..=:*>D83 %URS"kEI
π
A
M."k2;h]/>KF/2&*+
"B#" 4"C#" 7"D#" 9"A#"
Câu 59(DH2011):\F8:=]*? )I ^
"k2;h]/>*$>:-"

U
m
~" 4"
D
m
~" 7"
A
m
~" 9"
i
m
~"
Câu 65:/l/:t8zF;%/68A../:Fe;A.#@8
*>C8"y%,;5'(F$r*+N/3rF/
*+ ".=N8@ " 4"N8@ " 7".=MB8@ " 9"M=B8@ "
Câu 66::+8;<='()*+8%$r1
%"<(b/0F//E=-?83>8r$r,*+/
"
<
D
" 4"
<
B
" 7"
<
MA
" 9"
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C
"

Câu 70(CĐ2013): KF;%/6M..:;.=U
π
*>N8"7
8%$r&()*+=r,/
".=NC8s 4".=iA8s 7".=MB8s 9".=DB8s
Câu 71:/l/:t8>*K/:wFeM..#@8=:*>.=M8"%
$r1'()*+"\>*]'()*+C8r,/l*+
i
".=CDs" 4"N=A8s" 7"C=D8s" 9".=NAs"
Câu 72:/l/:t8zF;%/68.=D;/:Fe;M..#@8"\h
;K'()*+A8tI%3MU
U
T8@ "kEIT
A
M."#r/6,
/ "A=DUs" 4"ADUs" 7".=ADUs" 9"AD=Us"
Câu 73(ĐH 2013):K;%/6M..:;.=A r/.=MBsG8%
$r&'()*+Hj/EI
A
M.
π =
"<&/
N A
8=| %r$r/
"N 4"D 7"A 9"M
Câu 74::*>C8"%$r1'()*+"\Fr*+
N
D
/3
r]'()*+8&"

= +ϕ
%$r&'()*+"\`-€/3/>$
/lFr*+$r/.=M "kEI
A
M.π =
"\%/6K*+
"D.." 4"D." 7"A.." 9"M.."
Câu 78(ĐH 2009):/l/:t8/:wK:3 %FM.
@ "4$+;r$rG8%1'()*+,H*+%,F/*+
.=C8@ "4>,/l/
"C8 4"
C A
8 7"MA8 9"
MA A
8
Câu 79:7E?8F;%/68
M
U.85'()*+,F

M
 GUTZT@CHG8H"7E?8F;%/68
A
M..85'()*+,F

A
U GTXT@CHG8H"<| %r5],E?88
M
 
E?88
A

Câu 83:/l/::Je"72>,/:/‚
.
N.
8=5]/:*$>bNA8$NB8"kEIM.8@
A
"y%2&
,z/
"C.
A
8@ " 4"N.
A
8@ " 7"N.8@ " 9"C.8@ "
Câu 84:/l/:t8/:Fe;M..#@8=zF;%/68M..]%
'"7/l*>A
A
8Je"kEIM.8@
A
=
π
A
M."<&
'(/:WN8%,F//
"A.T8@ " 4"AT8@ " 7"A.T8@ " 9"M.T8@ "
Câu 85:7/l/:Je=:A GA.H8"72>
,/://
.
N.8=/EIM.8@
A
"7KE/E,/:5]/3
/6/

M."<8;=-/:;gW
/
".=.U " 4".=MN " 7".=A. " 9".=M. "
Câu 89(ĐH2008):/l/:Je"\((/l:J
e"7;*>,/l/3/6/.=D B8"7ƒJe
%=%&'()*+=%-.;5'()*+"kEI%2
M.8@
A
π
A
M."<-lE;„b;.$;/2t,/:F/2?/
"
D

MU
" 4"
i

N.
" 7"
N

M.
9"
M

N.
"
Câu 90:/l/:Je6;((:"<-5`3b'(
E$'(EE/.=A | %€/,/2t/:/6,z;F

m
"
Câu 93(ĐH 2013):O=#=…/]?8>8/:w=6Je1?8%'"\/:
F2>##…M.8"OlK3…,/:;((?
:Je"<5]=| %//2;h/E/
/2;hKE]/>*+Nj/:Wj;`]/E€?8#/MA8"
kEIπ
A
M."y3 %/
"A=mRS" 4"N=URS" 7"M=iRS" 9"A=URS"
3. CON LẮC ĐƠN
Câu 94P\8/l/>JeG,/l;gpH3 %
,F x
"`8%-`8"
4"r;c,F`8"
7"r3 %,F|/V'%-"
9";gp;c,F;g%-
Câu 95(ĐH2008):Y]*? )I/sai;F,/lG*K5/2`,8g-H^
"\z1'(*>=r,/l*+$r,F"
4"7I?,/lb'(*>'()*+/3"
7"\z5'()*+=/2]/>F)*+/2r,)I"
9"yK,/l/:"
Câu 96(ĐH 2013):/lFMAM8=:&F%-"
kEI
A
M.
π =
"7;,/l/P
"M 4".=U 7"A=A 9"A
Câu 97:<&8'(><]qE=/lF

A A
M A
T T−
" 7"
M A
M A
T T
T T−
9"
A A
M A
T T+
"
Câu 98:R/l:&o8'(><]qE"7;,/l
/3/6/
M
l
=
A
l
<
M
=<
A
"4$
A
M
M
A
T

l
M.
Câu 99:R/lF/3/6/ 
M
l

A
l
=6138r:=:
;e/A=. M=B "<‡ %
A
M
l
l
*+
".=BM" 4"M=MM" 7"M=AN" 9".=m."
Câu 100(CĐ 2007)P/lt8 6)IF;%/6;g];?=;gW=Fl>*
KF;%/68"\((/l1F%-"#$8%$r
&'()*+,>*$r,/lI1/FˆF*?e/
" 8lGMQ ˆH" 4"8lGMQ ˆH" 7"8lGNQA ˆH" 9"8lGMZ ˆH"
Câu 101:<&F%-=8/l:*>F α
.
"4$;%/6
K,/l/8=)I/
l
=8%$r1'()*+"7r,/l/
"
A
.
M

.
"
A
α
7"
.
"
A
α
−
9"
.
"
N
α
−
Câu 103:/l6`;g%*3b'(F*>Fˆ

"\/l5'(F/
Fˆ%F,/l6]'*+ge
"
H G A
o
glv
αα
−=
" 4"
H G
o
glv

&F%-/"4$
/2r)I/E*+M=.A/3/2r)IKE"O]',α
.
/
"N=N
.
4"C=C
.
7"U=C
.
9"m=C
.
Câu 106(ĐH 2012)"<&F%-M.8@
A
=8/lFM8=*>
FC.
.
"<5]=r,/l6*`"<&'()I6JeF
N.
.
=%,z,/lF//
"MANA8@
A
4"U..8@
A
 7"iNA8@
A
 9"BBi8@
A
Câu 107(ĐH 2009):<&F%-m=B8@

Câu 111(ĐH2009):<&8>8zE=8/l:"<;`-∆=/l
2VC.3jIp/l8&DD8{;`-∆EI=F
2VU.3"7*3,/l/
"MDD8" 4"C.8" 7"B.8" 9"M..8"
Câu 112(ĐH 2013):R/lF/3/6/BM8CD86138r:"
\]K,/l1'()*+=t-I0]%o 
/l:o*>F=8zJ  "O∆/
;`-lE;?b/0I%$/0)I  "O]'∆gần giá trị
nào nhất )I^
"B=MA " 4"A=NC " 7"i=A. " 9".=DU "
(Lực lạ)
Câu 113(ĐH2007):/l61388]I"\8]IeI>=/l
:;<"\8]I/>Je=83%F/*+8n%
-&z8]I/l:;<ƒ*+
"A<" 4"<dA 7"<@A" 9"<@dA"
Câu 114:</l38gg&F%-m=B8@
A
"\ggeI>;
:,/l/A "#$ggI?J3>-+8]%A8@
A

;:,/lE|*+
"A=.A " 4"M=BA " 7"M=mB " 9"A=.. "
Câu 115(ĐH2010): g
‰
/r
Š

Š
>

>
Œ
8"7/r
Š
g
‰
>
‹

‹
>
‰

‹
>
‹
8
‹

‹
g
‰
>
‰

‹

Š
g
‰

/r
Š
/
‹
".=UB 4"M=D. 7"M=MU 9"M=mm
Câu 116(ĐH 2011):/l6388]I"\8]II?Je/>
3%F/;:,/l/A=UA "\8]II?
Je/>83%{F/;:,/l/N=MU "\
8]IeI>;:,/l/
"A=mC " 4"A=BD " 7"A=CM " 9"A=iB "
Câu 117(ĐH2012): /lt8)IFM8KF;%/6M..8V(A"M.
QU
7"</lIV--V-F/
U"M.
D
y@8"<8zJJe5?8  -V-=;hK
,-V- )I6%-8FUD

t*gw
/l:"kEIM.8@
A
"<5]=%2&,K/
".=Um8@ " 4"N=DM8@ " 7"A=Bi8@ " 9".=U.8@ "
4. DAO ĐỘNG TẮT DẦN
Câu 118(ĐH2010): g
‰
)
‰
g
‰

g
Š
g
‰
7"*>g
‰

‹
r/
‰
 9"*>g
‰

‹
g
Š
g
‰
Câu 119(CĐ2007)PY]*? )I/ ;F^
"RV61G 21H`I;3 %,&/2*+3 %>,V"
4"4>•*e,8V;`IV61G 21H;g
/2`,8g-"
7"<3 %•*e,8V*+3 %,&/2]/>VEI"
9"<3 %2,8V/3 %>,VEy.
Câu 120(ĐH2007):#' )I ;Fl3^
"9l3Fr`83:$r*$>:"
4"9l3/F*>`83-"
7"k28 ]/l"
9"<l3=r`83-"
MA

4"<3 %,V•*e/g*+3 %>,V"
7"4>,V•*e3 %,&/2•*e"
9"4>,V•*e*>,&/2•*e"
Câu 126(ĐH2007):\`IV61$
"3 %*+3 %>" 4"8;g'&/2]"
7"3 %/3 %>" 9"3 %K3 %>"
Câu 127(ĐH2010):/l/:t8K;%/6.=.A;/:FeM#@8"yK6z>
]•%'+8/:"RV %8 ]6€]•K/.=M"43€1'(/:
*'hM.8t*gw?/ll3"kEIM.8@
A
"<%/EK&65]
/
"
M. N.
8@ " 4"
A. C
8@ " 7"
D. A
8@ " 9"
D. N
8@ "
Câu 128: /l/:t8K;%/6.=A;/:Fe;A.#@8"yK6z>]•
%'+8/:"RV %8 ]6€]•K/.=.M"<b'(/:;g*'*$
&=I%*3M8@ EI/ll3&t,/:"kEI
M.8@
A
"q//2t2&,/:5]*+P
"A=mB# 4"M=U# 7"M=mB# 9"A#
Câu 129: /l/:Fe;M..#@88M..=>8zJ=V %8 ]€
8z/µ.=.A"\h/V;Ky<748&M.8t`w=/EIM.8@