Waves and oscillations - M6 Flashcards
What is hooke’s law
Property of a spring
If a weight is added to a spring, the spring exerts a restoring force opposite to the deformation unil equilibrium is reached
The length change of the spring is proportional to…
The restoring force
F (restoring) =
-kx
What is k
Spring constant
Why is work done?
Because there is Force and energy applied over distance (compression of spring) to do work
Linear motion of Force
F increases lineally until F = x on a graph so find area under curve for max work done
W formula
W = 1/2 kx^2, this is also average force so area under reactange = total work done
Potential energy of spring
PE = W that needs to be done = 1/2 kx^2
What is simple Harmonic motion?
sinusoidal Oscillation
How does the spring oscillate
It has restoring force to deformation and as F is acting on mass, mass has a but as it accelerates towards eq, force decreases and hence acc decreases and max v is reached
Then v causes it to overshoot into compression until v = 0 and F acts again and repeat
Time taken for one oscillation
period, T = 1/f
Number of oscillations in one s
Frequency = f = 1/T
Total energy of a system
1/2mvˆ2 + 1/2kxˆ2
Simple pen and E conservation
Refer to paper pls too complicated to explain here
What is a wave?
A collection of SHM oscillators with a spacial phase
