exam 3 Flashcards
when position is at positive amplitude
velocity is zero and acceleration is negative
when position is at negative amplitude
velocity is zero and acceleration is positive
when a spring is stretched, what is the force equation
F = -kx
what is a simple pendulum
physical pendulum with mass at the end
what is one total oscillation
when a spring bounces down and back up
where is the amplitude on a sinusoidal graph
the highest point
what is simple harmonic motion
motion driven by a spring oscillating back and forth
what is x in simple harmonic motion
displacement from equilibrium
why is the spring constant k negative
the spring exerts a force to try and pull it back to equilibrium
where is the equilibrium point of a spring without mass
x = 0
where is the equilibrium point of a spring with a mass
x = -mg/k
what is the force that is exerted in the opposite direction of mg for a spring
-kx
what is the relationship between the sinusoidal position graph and acceleration graph
opposites/flipped upside down
when position is at zero
velocity is at maximum and acceleration is zero
where is the point particle/center of mass on a simple pendulum
at the end, opposite end of rotational axis
how does beta B affect the speed of the object
smaller beta B means the object will roll faster
what is c
ratio of KErot to KEtrans
what does the smallest c ratio mean
minimizing rotational motion and maximizing translational motion
what is the agent of change in linear motion
force F
what is the agent of change in angular motion
Torque T
when can we model an object as a point particle
when the object is far away from the axis of rotation, relative to its size
what is the rotational motion for an object with n to infinity particle
in a circular path with a radius r from the axis of rotation
what is rotational inertia
moment of inertia
which angular motions are instantaneous and why
angular velocity and angular acceleration because they are found by taking derivatives