Simple Harmonic Motion And The Reference Circle Flashcards
(32 cards)
Total distance in 1 cycle
4 amplitudes
(No retarding forces) the amplitude the same to either side of the equilibrium point
Undamped SHM
What is the period of the motion in relation to the amplitude
INDEPENDENT!
What does the period of a simple pendulum depend on?
Length
Gravitational field strength
What does the period of a mass on a spring depend on?
Mass
Stiffness of stirring
What is hookes law
Any time. Spring is deformed from it’s ordinary size, it exerts a force to resist that deformation
When the amplitude of oscillation decreases
Damped SHM
For a pendulum when does the object come to rest
When changing direction
Pendulum
When is the object moving at the greatest speed
When the object is at the equilibrium point
At which point in the cycle is the acceleration of a pendulums the greatest
at the ends of the motion
Which point is the acceleration of a pendulum zero
At the equilibrium point
In which direction is a mass on the pendulum accelerating when moving toward an endpoint
Toward equilibrium point
In which direction is a mass on the spring accelerating when moving toward the equilibrium point
Toward the equilibrium point
Describe the speed of the pendulum changes as it moves from one endpoint going to the opposite end point
The speed starts zero, increases continuously until the object reaches equilibrium point. It then begins to decrease continuously, becoming zero at the opposite end point.
What forces directly responsible for the acceleration of a pendulum
Parallel component of the force of gravity
How can the force responsible for the acceleration of a pendulum cause different accelerations at different points if it is a constant-magnitude force
The angle increases as the object approaches the endpoint - the vertical increases
Which force is directly responsible for the acceleration pattern of a mass oscillating at the end of a spring?
The restoring force of spring
Hookes law
What characteristic of the spring force produces the acceleration pattern experienced by the mass
The distance the spring deforms
x
How is the pendulum or springs velocity compared to the acceleration change as the object moves through a cycle of motion
Inversely related
Starting at an endpoint what does the velocity of the object look like
Sine graph
Starting at the equilibrium point what does the velocity look like
Cosine graph
Starting at an end point what does the acceleration of an object look like
Cosine graph
Starting at equilibrium point what does the acceleration look like
Sine graph
Real springs have mass. How will the true frequency differ from those given by the equations from mass oscillating on the end of an idealized massless spring?
Since the mass of the real spring will add to the total mass of the system, the period Will increase and the frequency will decrease