Test 3 Ch.'s 12, 14, and 20 Flashcards
(38 cards)
What is a rigid body?
a point on a body maintains its position relative to all other points on the body
CCW angular momentum
angular momentum is in the + z direction
CW angular momentum
angular momentum is in the - z direction
Parallel axis theorem
if you know the moment of inertia and want to rotate an object about something other than the center of bass;
I=I(center of mass) + md^2
What is angular velocity(omega) in terms of linear velocity?
omega=v/r
Right hand rule for torque
thumb: r
index finger: F
middle finger: torque
What must be satisfied for an object to be in static equilibrium?
Fnet=0 in the x, y and z directions
and net torque=0
equation for net torque
rFsin(theta)
When a spring is compressed;
velocity=0 max potential energy kinetic energy=0 max force max acceleration
When spring is at equilibrium;
max kinetic energy
potential energy=0
max velocity
Force=0
When spring is extended;
velocity=0 max potential energy kinetic energy=0 max force max acceleration
Amplitude
max displacement from equilibrium
measured in meters
Frequency
cycles per second
unit of hertz
Period(T)
time for 1 cycle
angular frequency
omega
units of rad/s
Restoring force
always points back towards equilibrium
Relationship between period and frequency
T=1/f
Equation for velocity in terms of simple harmonic motion
Vmax=sqrt(k/m)A=omegaA
What is angular frequency equal to in torsional SHM?
sqrt(k/I)
What is a simple pendulum?
assumes all the mass is at the end of the pendulum
3 cases of a damped oscillator
under damped
critically damped
over damped
What is a mechanical wave?
disturbance in a material(medium)
What effect does a mechanical wave have on the medium?
it causes the medium to under go SHM
What does a wave actually move?
ENERGY