1

TRƯỜNG ĐẠI HỌC HÙNG VƯƠNG

VẬT LÝ ĐẠI CƯƠNG A1

MỤC LỤC
2


CHƯƠNG 1
Động học chất điểm
 !"#$%&'(!") !*+,  /&012'-3") !
*) Môc tiªu:
)4 5'67899:9;&: 3 <=>,6?9@73A9B+033&79&'(536C3A/&<D'(9& !'/>-39/A E
9@13A9&'(536C3A&F3A>,9&'(536C3A913A4
$4 5'67899:9;&: 3 <=.&7B3A@G3&9&'(536C3A/.&7B3A@G3&D'H6I19JE9&K6 5=4
L4 &M3+ <67899:9NI3A9&'(536C3A>,>-3NO3A67899:99P3A&Q99&1R3ANI3A
9&'(536C3A4
1.1. Sự chuyển động của vật. Hệ qui chiếu. Vận tốc - gia tốc
)4)4)4&'(536C3A>,&<D'(9& !'
&'(536C3A9JE=C>-2,ST9&'(53NU >V@W9JE>-6X6 >Y 9:9>-;&:9@13A
;&P3AA E3>,&U A E34AZ==C&<@O9[E6C>Y A9[E6C>,=C6Z3A&Z
>Y A9&U A E3
)4)4$4&K6 5=>,&<9&K6 5=
 &K6 5=2,=C>-9X;W9&&7Y93&\;&P3A6:3A;5S1>Y 3&]3A;&103A9:9&/3&]3A
;W9&&7Y9=,E6E3A;&01S:4
)4)4L4&7B3A@G3&9&'(536C3A9JE9&K6 5="
^& 9&K6 5=_9&'(536C3A/9:9[E6C9JE3X2,9:9&,=9JE&U A E3"
 *  *          = = =
  )`)

i))
456?9@73A9&16C3&E3&9&-=I R3A&U
6 5=/Ejk∆>P9l3A3&\"
 3
* 4*
 56
 4
∆ →
∆
= =
∆
uur uur
r
)`d
,78A[ m2,99JE9&K6 5=I &U 6 5=4:3;<"!6
!"#'=4 ,-1"&'>3;<"!6!"#'= ?5&
@0",-A"0"#-6,-!"#&B8"!6
3
.C n9B>-39I =C>V@W_2,=C>n9B
v
9X.&7B3A3o=@e3 !.
'(!3>Y D'H6I1I _/9X9& p'&n19& p'9&'(536C3A>,9XA :@V+o3A@V'(<6 "
dt
ds
v =
)`h
.D'E-"#/FA E&K(
dsdr ≈
/3e3)`h9X&5> !"
dt

+






=++=
)`q
)4)4q4 E9
G/01-+2!7,-- C+ !3& e3@'3A+G3&9JE>n9B>-39
@13A=C6B3>V&U A E3&n16V3&3A&rEA[ 2,-29JE9&'(536C3A@13A
;&103A&U A E3∆>,6789;W& <'"
i
2
  
-
 
− ∆
= =
∆ ∆
ur r uur
uur
)`s
-78A[ m2,-99JE9&K6 5=I &U 6 5=/>,6789;W
& <'2,"
t
v
lima
0t

dt
xd
aaaa






+






+






=++=
)`t
GH-+-A
-H-

4
-

N
N>
EEE






+






=+=
)`)$
)4)4s4-39>,A E9@13A9&'(536C3A@w3
RJ
-39AX9@'3A+G3&@13A;&103A&U A E3∆"

+
∆
θ∆
=ω
4 )`)L
-39AX99JE9&K6 5=I &U 6 5="
N
N

>,>n9B>-39N, 
→
v
9JE9&'(536C3A"
ω=>
vΛ
 )`)q
O$4 e3&<A ]EE
3
>,
ω
"
$


-
Q
=

gv4
ω
$
)`)s
RH-J  E9AX9@'3A+G3&@13A;&103A&U A E3∆"

+
∆
ω∆
=β
 )`)t

$
ω+β
* 
βθ=ω−ω
$
$
#
$
4
-J"o=@e3@O99JED'H6I1
@w3/9l3A9& p'>Y 
ω
;& β{#>,3A7892I ;& β|
#/9XA :@V+o3Aβ4&7>-(E9X&5> !&<&Q9>n9B3&7SE'"
dt
d
ω
=β

)`$)
O e3&<A ]E>n9BA E9AX9>,>n9BA E9 !.'(!3"
 

4 Q 4
- Q Q
4 4
ω ω
β
= = =
)`$$

 !.'(!3>,A E9.&:.'(!3•
Câu 4. R6V3&3A&rEA E9&•(S'(@E9:9NI3A9&'(536C3A9X&59X4
Câu
5. G= 9:9 + 5' &Q9 >-3 9 AX9/ A E 9 AX9 @13A 9&'(53 6C3A @w3/
.&7B3A@G3&
9&'(536C3A@13A9&'(536C3A@w36p'>,@w3+ !36u 6p'4
Câu 6. &'(536C3A&F3A&E(6u 6p'2,AG•&M3+ <9:9@7U3A&8."Eg#/E{#/E|#4
Bài 1.1. _C9& !9PP9&'(536C3A@e3=C67U3A@w3+:3;W3&d#=4b'•3A67U3A6 6789
@e3D'H6I19X9P3A&Q9"g`#/d
$
z)#z)#=4G=>-39/A E9 !.'(!3/A E9.&:.
'(!3>,A E91,3.&y39JEPP2}9gdS4B3>V9JED'•3A67U3AS2,=k=4
Bài 1.2. _C>-67893k=2e3R=?6K&n1.&7B3A&F3A6Q3A>Y >-39+E36y'
>
#
g$#=xS4\D'ESQ99039JE;&P3A;&W/2K(A E9@[3A@7U3AAg)#=xS
$
4
E4W3&6C9E19T96I 9JE>-6X>,&U A E3656 2e367896C9E16X4
+4R6C9E19T96I >-@B Y =?6K&!+E12M'•W3&>-399JE>-;& >-9&I=6K4
Bài 1.3._C>P2‚3A6E3AD'E(>Y >-39L##>w3Ax.&}&G+V&•=2I 4E'=C.&}>-39
9JE>P2‚3A9w32,)s#>w3Ax.&}4
E4W3&A E9A99JE>P2‚3A2}9+V&•=4
+4W3&S>w3A>P2‚3AD'E(6789@13A=C.&}+V&•=6X4
Bài 1.4._CPP9&I(@e367U3A&F3ARf6!3>Y >-39>
)
ga#^=x&/@Z D'E(2I f>Y
>-39>
$
gL#^=x&4W3&>-39@'3A+G3&9JEPP@e3D'•3A67U3A;&Q&Z 6X4

;& 2783A9JE9&K6 5=K(/@13A&<"
m
F
a =
$`)
$4)4L4&7B3A@G3&9B+039JE9B&[99&K6 5="
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CHƯƠNG 5
Cơ học chất lưu
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