Further Mechanics Flashcards
(33 cards)
Two conditions for simple harmonic motion
Acceleration of an object always directed towards the equilibrium position
Acceleration is proportional to the displacement from the equilibrium position
(a is proportional to - displacement)
Define a free oscillation
An oscillation in which there are no external forces
What is damping force and how does it relate to velocity
Damping force could be friction between two solid bodies or forces when a solid comes into contact with a liquid or a gas (e.g air resistance)
Damping force proportional to velocity^2
Draw graph to show light damping, a critical damped system and an overdamped system
Describe a lightly damped sytem, critically damped and an overdamped system
Define natural frequency and driving frequency
Define resonance
what is damping
The gradual loss of energy from an oscillating system due to resistive forces, which reduces the amplitude over time.
Damping occurs due to forces like friction, air resistance, or internal resistance in materials.
These forces remove energy from the system, usually as thermal energy.
As a result, the amplitude of oscillation decreases over time
In systems with light damping the resonance peak has a tall and sharp peak indicating high amplitude at the resonant frequency
Cannot be A & C as it shows a dip rather than a peak
Answer is B
A is not correct as the applied force maintains amplitude by replacing energy lost to damping, not from preventing it from being too large
C
A is correct, once removed system will oscillate at it’s natural frequency
B - incorrect because velocity of system is in phase, and displacement is out of phase
C - damping is more affected by surface area and resistance, not mass of density
