oscillations Flashcards
What equation represents Simple Harmonic Motion?
x = Asin(ωt)
This equation describes the displacement of a particle in SHM.
Define displacement in Simple Harmonic Motion (SHM).
Displacement of a particle vibrating in SHM at any instant is defined as its distance from the mean position at that instant.
What is the general formula for displacement in SHM?
x = Asin(ωt + ϕ)
Where x is displacement, A is amplitude, ω is angular frequency, t is time, and ϕ is the phase constant.
What does a stiff spring have compared to a soft spring in terms of k?
A stiff spring has large k and a soft spring has small k.
What is true about the total mechanical energy of a harmonic oscillator?
The total mechanical energy of a harmonic oscillator is a constant or independent of time.
What is a displacement variable in periodic motion?
The physical quantity which changes with time in a periodic motion.
Give an example of a displacement variable for an oscillating simple pendulum.
The angle from the vertical.
What is periodic motion?
Any motion, which repeats itself in regular intervals of time.
List two examples of periodic motion.
- Hands in pendulum clock
- Swing of a cradle
What are the three types of periodic motion?
- Rotatory motion
- Oscillatory motion
- Vibratory motion
Define Simple Harmonic Motion (SHM).
A special type of oscillatory motion where a restoring force acting on the particle is directly proportional to its displacement from a fixed point and always directed towards that fixed point.
What is the period (T) in motion?
The smallest interval of time after which the motion is repeated.
What is the unit for frequency (υ)?
Hertz (Hz)
What is the formula for frequency (υ)?
υ = 1/T
What is the relationship between angular frequency (ω) and period (T)?
ω = 2π/T
True or False: All periodic motions are oscillatory.
False
Fill in the blank: The particle moves to and fro with ______ frequency in vibratory motion.
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