Quick quiz on the basic ideas about SHM
Zero amplitude, maximum acceleration
Zero acceleration, maximum speed
Zero displacement, maximum displacement
Zero acceleration, maximum amplitude
Zero velocity, maximum speed
Jane is moving slower than Mary
They have a phase difference of pi and a separation of 1.2m
They have a phase difference of pi and a separation of 1.0m
They have a phase difference of pi/2 and a separation of 1.2m
They have a phase difference of pi/2 and a separation of 1.0m
It has a frequency of 2Hz and a maximum acceleration of 0.15m/s2
It has a frequency of 2Hz and a maximum acceleration of 0.047m/s2
It has a frequency of 0.5Hz and a maximum acceleration of 0.047m/s2
It has a frequency of 0.5Hz and a maximum acceleration of 0.047m/s2
It has a frequency of 0.5Hz and a maximum acceleration of 0.15m/s2
Frequency 1.25Hz, maximum acceleration 0.17m/s2
Frequency 1.25Hz, maximum acceleration 1.4m/s2
Frequency 1.25Hz, maximum acceleration 7.9m/s2
Frequency 0.8Hz, maximum acceleration 0.11m/s2
Frequency 1.25Hz, maximum acceleration 0.56m/s2
Frequency 8Hz, maximum acceleration 56mm/s2
Frequency 8Hz, maximum acceleration 64mm/s2
Frequency 1.3Hz, maximum acceleration 448mm/s2
Frequency 1.3Hz, maximum acceleration 56mm/s2
Frequency 2.6Hz, maximum acceleration 64mm/s2
X = -3.2mm; a = 80mm/s2
X = 3.2mm; a = 80mm/s2
X = -3.2mm; a = -80mm/s2
X = 3.2mm; a = -80mm/s2
X = 3.2mm; a = -16mm/s2
T = 14.2s; a = 2.9mm/s2
T = 14.2s; a = 76mm/s2
T = 2.8s; a = 2.9mm/s2
T = 2.8s; a = 76mm/s2
T = 0.35s; a = 2.9mm/s2
F = 0.21Hz; v = 30m/s
F = 0.12Hz; v = 30m/s
F = 0.21Hz; v = 0.30m/s
F = 0.12Hz; v = 0.30m/s
F = 0.12Hz; v = 0.18m/s
Over Damping
Heavy Damping
Light Damping
Critical Damping
Chronic Damping
The ideal driving frequency is just below the natural frequency
The natural frequency is just below the ideal driving frequency
The energy absorbed each oscillation = the energy lost each oscillation
The energy absorbed each oscillation depends on the damping of the system
The energy lost each oscillation depends on the damping of the system