Circular Motion And SHM Flashcards
1
Q
Conditions for circular motion
A
F = mv^2/ r
2
Q
Omega
A
Theta/ t = 2pi/ T = 2 pi f = v/r
Unit rad per s
3
Q
a
A
V^2/r = r omega ^2
4
Q
Simple harmonic motion
A
a = - omega ^2 x
There is a restoring force such that acceleration is proportional to and oppositely directed to the displacement.
5
Q
Mass spring system
A
T = 2 pi root( m/k)
6
Q
Simple pendulum
A
T = 2pi root( l/g)
7
Q
Assumptions for a simple pendulum
A
- String inextensible and mass less
- Mass is a point mass
- Theta is small
8
Q
At resonance:
A
-applied f = natural f
-phase difference -90
Max energy transfer driver to driven
9
Q
Low f driver system
A
Phase difference =0
Amplitude driver = amplitude driven
10
Q
High f driver system
A
Phase difference = -180
Amplitude driven -> 0
11
Q
Graph with damping
A
Resonance frequency decreases
Curve becomes broader
