Unit 6: Simple Harmonic Motion Flashcards
simple harmonic motion
restoring force, conservation of energy (if no external work, TME is constant), sinusoidal
simple pendulum
mass hanging from a strong or rod of negligible mass
restoring force: gravity
energies involved: gravitational potential, kinetic energy
mass-spring system
a mass attached to an ideal spring attached to a fixed wall
restoring force: spring force
energies involved: elastic, kinetic, potential (only if it is vertically fixed)
hooke’s law/ spring force
Fs= -k(x)
-opposite of spring constant multiplies by displacement
solve for period
T= t/n
t= number of time total to complete oscillations
n=number of oscillations
period
time it takes to complete one ocillation (s)
frequency
how many oscillations per second (1/s, Hz)
solve for frequency
f=n/t
solve for period for mass on a spring
Ts=2π√m/k
mass and period of mass on a spring relationship
as mass increases, T increases
spring constant and period of mass on a string relation ship
as K increases, T decreases
solve for period of pendulum
Tp=2π√L/g
L= length of string
relationship of L and T on pendulum
if L increases, T increases
relationship of g and T on the pendulum
as gravitational field strength increases, T decreases
PE on mass-spring placed horizontaly
Us=1/2kx^2
