Oscillations Flashcards
1
Q
Restoring force in SHM
A
F= -kx
- k: force constant
- x: displacement from mean position
2
Q
What is amplitude?
A
Max displacement from mean position
3
Q
What is Time period ?
A
Time taken for one complete oscillation
4
Q
What is frequency?
A
No: of oscillations in unit time
ν = 1/T
- ν: frequency
- T: time period
5
Q
Angular frequency (ω)
A
ω = 2πν = 2π/T
6
Q
How is uniform circular motion and SHM related?
A
- uniform circular motion is periodic but not simple harmonic
- projection of a body in uniform circular motion about its diameter is SHM
7
Q
What is phase?
A
It represents the state of vibration of an oscillating body
- (ωt + Φ₀)
- Φ: phase constant
8
Q
Displacement in SHM
A
- Y=Asinωt: if particle starts from mean position
- x=Acosωt: if particle starts from extreme position
- Y=Asin(ωt ± Φ₀): in general from mean position
9
Q
Velocity in SHM
A
V= Aωcosωt
OR
V= ω √ (A² - Y²)
10
Q
Acceleration in SHM
A
a= -Aω²sinωt
OR
a = -ω²Y
11
Q
Force in SHM
A
(F = ma)
- F= -mAω²sinωt
- F = -mω²Y
