Module 10: Periodic Motion Flashcards
What is Hooke’s Law?
F = -kΔx
F —> Force applied by spring
Δx —> The Displacement through which it stretches
k —> Proportionality constant
In a mass / spring system, the maximum acceleration occurs at ______________________.
In a mass / spring system, the maximum acceleration occurs at each amplitude of the motion.
In a mass / spring system, the maximum speed occurs at ___________________.
In a mass / spring system, the maximum speed occurs at the equilibrium position.
In a mass / spring system, the acceleration is zero at ___________________.
In a mass / spring system, the acceleration is zero at the equilibrium position.
In a mass / spring system, the speed is zero at ___________________.
In a mass / spring system, the speed is zero at each amplitude of the motion.
What is the period of mass / spring system equation?
T = 2π sqrt( m/k )
What is the motion of a mass / spring system one-dimensional equivalent?
The motion of a mass / spring system is the one-dimensional equivalent of uniform circular motion.
When a system is subject to a restoring force that is linearly proportional to the displacement from equilibrium, the system exhibits ________________?
When a system is subject to a restoring force that is linearly proportional to the displacement from equilibrium, the system exhibits simple harmonic motion.
At the amplitude of its motion, a mass / spring system has ________________________________________.
At the amplitude of its motion, a mass / spring system has no kinetic energy (and there zero speed) and its maximum potential energy.
At the equilibrium point of its motion, a mass / spring system has _____________________________.
At the equilibrium point of its motion, a mass / spring system has no potential energy and its maximum kinetic energy (and therefore its maximum speed).
What is the potential energy equation?
PE = 1/2 k Δx^2
What is the kinetic energy equation?
KE = 1/2 mv^2
What is the kinetic and potential energy additive equation?
KEmass/spring + PEmass/spring = 1/2 kA^2
What happens when the angle of displacement for a simple pendulum is small (less than about 20 degrees)?
When the angle of displacement for a simple pendulum is small (less than about 20 degrees) the pendulum exhibits simple harmonic motion.
What the period of a pendulum equation?
T = 2π sqrt( L / g )
Define Periodic motion.
Motion that repeats itself regularly
Define Equilibrium position.
The position of an object when there are no net forces acting on it.
Define Restoring force.
A force, directed towards the system’s equilibrium position, which is applied as a result of the system’s displacement from equilibrium.
Define Amplitude.
The maximum distance away from equilibrium that an object in periodic motion travels.
Define Simple Harmonic motion.
Periodic motion whose period is independent of its amplitude.
