Springs
What is the equation for the period of a spring?
2pi\sqrt (m/k)
Because of _____, a swinging wrecking ball does not swing forever.
Friction or damping forces
How can you describe the velocity of an object in UCM?
Constant speed with changing direction
What is acceleration?
Change in Velocity/ Change in time
The equation
F_s=-kDeltax
is known as:
Hooke's Law
SHM on a simple pendulum independent of I. amplitude II. mass III. length of string
II
Frequency is measured in:
Hertz
1 Hz=1s^-1
What is the source of centripetal force? Give an example
Tension or friction (depending)
You bike at a constant speed of 10 m/s, what is your acceleration?
0
A mass oscillating on a spring will have a zero acceleration at this point.
Equilibrium
\Deltax=0
What are the three variables in the period of a pendulum?
Amplitude
Length
Gravitational Acceleration
What is the direction of acceleration in UCM?
Radially inward
Position is the area under what type of graph?
Velocity vs time (or v(t) )
The equation for the period of a spring shows that the following statement is true or false? SHM in a closed space in a non-damping system, the period of oscillation on a spring is both independent of amplitude and gravitational acceleration.
True
Why does SHM work so well with pendula for small angles?
For small angles of theta,
sin(theta)approxtheta
Nick spins 8 times while holding a shotput before throwing. If it takes him 3.4 seconds to throw, what is the period and frequency of his spinning?
f=8/3.4=2.35\ Hz
T=3.4/8=0.425\ s
How does Hooke's law play a part in SHM
F_s=-k\Deltax
which means that the force of a spring is directly proportional to the distance of the spring from its equilibrium point. It shows that when a spring is moved there is a restoring force that moves it on the SHM track.
How do you find a full period on the SHM graph?
peak to peak or trough to trough
A roller coaster, composed of a robotic arm holding a pod full of thrill-seeking riders at the end, has a radius of 8 meters. If it can complete 15 revolutions in 1 minute, calculate the speed of the passengers.
BONUS: Calculate the acceleration, in "g"s, of the passengers
v=d/t=C/T=(2pi*8)/4=12.566\ m/s
a_c=v^2/r=12.566^2/8=19.7\ m/s^2
19.7/9.8= 2\ gs
You have a semi-atwood machine on a frictionless surface with m1=1kg and m2= 3kg what is the acceleration?
7.5 m/s^2