1. Physics -- SHM Quiz

Oscillations

periodical motion with changing displacement

SHM

oscillation type where acceleration is proportional and opposite to displacement

Equilibrium

x=0 position of object when not oscillating

Restoring Force

force that always pulls towards equilibrium

Why does the restoring force happen in spring-mass systems?

hooke’s law

What is restoring force always in the opposite direction of?

position

Is k (the spring constant) +/-?

positive since only the negative in equation determines answer’s sign

Defining equation of SHM derived using N2L

a = -k/m * x

In an oscillation what is the x0 equal to for a circle?

radius

What is x0

amplitude - max displacement/position from equilibrium

From a circle finding x position as a line necessitates what equation?

x = x0 cos(theta)

In circles what is angular displacement equal to?

theta

What is the equation for position of an oscillating system at a given time t?

xt = x0 cos(wt)

(angle) ω =

theta/t

theta =

omega*t

N2L + Circle ω =

rad k/m

(frequency) ω =

2 pi f

Frequency

number of oscillations per second

Only for small angles in pendulums:

a = -g/L * x

(overlap pendulums and spring mass) rad k/m is equal to

rad g/L

If spring and pendulum system initially have = T and mass of each is doubled what happens to periods?

spring period increases while pendulum period remains unchanged

Hz =

s^-1

Period (T) definition

time for a full oscillation

Frequency definition

number of oscillations/second in Hz

How is SHM shown through graph?

at small amplitudes the graph is a. a straight line b. through the origin c. with a negative slope and d. acceleration proportional to displacement

A motion is not SHM if acceleration is ______ and not proportional to displacement

constant

Under SHM acceleration is opposite and proprotional to displacement so there is a ___

force towards equilibrium

In a pendulum what is the force bringing bob back to equilibrium

mgsin(theta)

theta =

x/L

Definging SHM equation for pendulums

w^2 = g/L

(for pendulums) theta =

x/L

For small intervals sin(theta) =

theta

Deriving pendulum equation — R =

L

Linear acceleration =

angular acceleration * R