1
Trung tâm gia sư NGUỒN SÁNG GV: nguyễn đức anh 0972 113 246
BIÊN HÒA-ĐỒNG NAI HỆ THỐNG HOÁ KIẾN THỨC VẬT LÝ 12 VÀ CÁC CÔNG THỨC
TÍNH NHANH TRONG BÀI TẬP TRẮC NGHIỆM.
CHƢƠNG II
DAO ĐỘNG CƠ HỌC
CHỦ ĐỀ 1
ĐẠI CƢƠNG VỀ DAO ĐỘNG ĐIỀU HÕA
A. TÓM TẮT KIẾN THỨC CƠ BẢN
A. TÓM TẮT KIẾN THỨC CƠ BẢN
I. DAO ĐỘNG TUẦN HOÀN
1. Định nghĩa: là dao động mà trạng thái chuyển động của vật được lặp lại như cũ sau những khoảng thời gian bằng
nhau xác định.
2. Chu kì, tần số của dao động:
+ Chu kì T của dao động điều hòa là khoảng thời gian để thực hiện một dao động toàn phần; đơn vị giây (s).
Với N là số dao động toàn phần vật thực hiện được trong thời gian t.
+ Tần số f của dao động điều hòa là số dao động toàn phần thực hiện được trong một giây; đơn vị héc (Hz).
.
1
2
N
tần số góc của dao động điều hòa
rad/s.
T
Chu kì T của dao động điều hòa là khoảng thời gian để
thực hiện một dao động toàn phần
s ( giây)
f
Tần số f của dao động điều hòa là số dao động toàn phần
thực hiện được trong một giây .
Hz ( Héc)
Liên hệ giữa , T và f:
= = 2f;
Biên độ A và pha ban đầu phụ thuộc vào cách kích thích ban đầu làm cho hệ dao động,
Tần số góc (chu kì T, tần số f) chỉ phụ thuộc vào cấu tạo của hệ dao động.
1
f
T
T
2
2
= A.
Vận tốc của vật dao động điều hòa biến
thiên điều hòa cùng tần số nhưng sớm pha
hơn so với với li độ. Gia tốc
a = v' = x’’ = -
2
Acos(t + ) =
2
Acos(t + + )
a= -
2
x.
Véc tơ gia tốc của vật dao động điều hòa luôn hướng về
vị trí cân bằng, có độ lớn tỉ lệ với độ lớn của li độ.
- Ở biên (x = A), gia tốc có độ lớn cực đại:
a
max
=
2
A.
- Ở vị trí cân bằng (x = 0), gia tốc bằng 0.
Gia tốc của vật dao động điều hòa biến
thiên điều hòa cùng tần số nhưng ngược pha
với li độ (sớm pha so với vận tốc).
Lực kéo
về
11
W = W + W
22
t
m A kA
Với .
22
đ
1
W Wsin ( )
2
mv t
.
2 2 2
1
W W s ( )
2
t
m x co t
Chú ý: + Tìm x hoặc v hoặc a khi
.
6. Dao động điều hoà có tần số góc là , tần số f, chu kỳ T. Thì động năng và thế năng biến thiên với tần số góc 2, tần
số 2f, chu kỳ T/2. Động năng và thế năng biến thiên cùng biên độ, cùng tần số nhưng ngươc pha nhau.
7. Động năng và thế năng trung bình trong thời gian nT/2 (nN
*
, T là chu kỳ dao động) là:
22
W1
24
mA
2
2
2
2
3
Trung tâm gia sư NGUỒN SÁNG GV: nguyễn đức anh 0972 113 246
BIÊN HÒA-ĐỒNG NAI 8. Chiều dài quỹ đạo = cung tròn = đƣờng thẳng = 2A
-A
A
O
(c
Sơ đồ phân bố thời gian trong quá trình dao động sin
3
π
4
π
6
π
6
π
4
2
A
2
1
A
22A
2
1
A
23A
22A-
2
1
A-
23A-
2
3A
2
2
A-
2
1
A-
A
0
-A
0
W
®
=3W
max
2/vv
max
22 vv
max
v < 0
23vv
max
x
V > 0
W
t
=3W
®
+
cos
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