Unit 7: Oscillations Flashcards
What is the definition of oscillation?
Oscillation is the repeated back-and-forth motion of an object around a central point.
What is the formula for the period of a simple pendulum?
T = 2π√(L/g) where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
True or False: The frequency of an oscillation is the inverse of the period.
True
What is the unit of frequency?
Hertz (Hz)
Fill in the blank: The maximum displacement from the equilibrium position in an oscillation is called __________.
amplitude
What is Hooke’s Law?
Hooke’s Law states that the force exerted by a spring is directly proportional to the distance it is stretched or compressed, F = -kx.
What does ‘k’ represent in Hooke’s Law?
‘k’ is the spring constant, which measures the stiffness of the spring.
What is the relationship between period and frequency?
The period (T) is the reciprocal of frequency (f), T = 1/f.
What is the equation for the potential energy of a spring?
PE = 1/2 kx², where PE is potential energy, k is the spring constant, and x is the displacement.
True or False: Damping refers to the increase in amplitude of an oscillation over time.
False
What is a damped oscillation?
A damped oscillation is an oscillation that decreases in amplitude over time due to energy loss.
What is the formula for the angular frequency of a simple harmonic oscillator?
ω = √(k/m) where ω is the angular frequency, k is the spring constant, and m is the mass.
What is the total mechanical energy in a simple harmonic oscillator?
The total mechanical energy is constant and is given by E = 1/2 kA², where A is the amplitude.
Fill in the blank: The motion of a mass-spring system is called __________ motion.
simple harmonic
What type of wave is produced by oscillations?
Mechanical waves.
What is the formula for the period of a mass-spring system?
T = 2π√(m/k) where T is the period, m is the mass, and k is the spring constant.
True or False: In a simple harmonic motion, the acceleration is always directed towards the equilibrium position.
True
What is resonance?
Resonance is the phenomenon that occurs when a system is driven at its natural frequency, resulting in a large increase in amplitude.
What is the natural frequency of an oscillator?
The natural frequency is the frequency at which a system oscillates when not subjected to a continuous or repeated external force.
What is the relationship between mass and the period of a simple pendulum?
The period of a simple pendulum is independent of the mass of the pendulum.
Fill in the blank: The restoring force in a spring is proportional to the __________.
displacement
What is the effect of damping on the period of oscillation?
Damping does not affect the period of oscillation in simple harmonic motion.
What happens to the amplitude of an oscillation in the presence of damping?
The amplitude decreases over time.
What is a simple harmonic oscillator?
A system that experiences restoring forces proportional to its displacement from equilibrium.