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 )
