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Chapter 10
Simple Harmonic Motion & Elasticity
42
Physics
Undergraduate 2
03/15/2015

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Term
unstrained length
Definition
the length of a spring when there is no applied push or pull
Term
What are the units for the spring constant "k"?
Definition
force per unit length (N/m)
Term
ideal spring
Definition
a spring that behaves according to
Fx*applied* = k(x)
Term
Sometimes the spring constant "k" is referred to as the _____ of the spring
Definition
stiffness
Term
A large value for "k" means that the spring is _____, in the sense that a large force is required to stretch or compress it
Definition
stiff
Term
The reaction force applied to the object attached to the spring is also called a _____
Definition
restoring force
Term
simple harmonic motion
Definition
when the restoring force has the mathematical form given by
Fx = -k(x); a type of friction-free motion
Term
sinusoidal
Definition
a graph that has the shape of a trigonometric sine or cosine function
Term
Can the restoring force lead to simple harmonic motion when the object is attached to a vertical spring or a horizontal spring?
Definition
yes!
Term
frequency
Definition
the number of cycles of motion per second
Term
period
Definition
the time required to complete one cycle
Term
Is the velocity of an object in simple harmonic motion constant?
Definition
no! (it varies between maximum & minimum values as time passes)
Term
Is there acceleration in simple harmonic motion?
Definition
yes!
Term
elastic potential energy
Definition
the potential energy that a spring has when it is stretched or compressed
Term
SI unit of elastic potential energy
Definition
joule (J)
Term
simple pendulum
Definition
a particle of mass "m" attached to a frictionless pivot "P" by a cable of length "L" and negligible mass
Term
physical pendulum
Definition
when the object on the pendulum is a rigid extended object
Term
damped harmonic motion
Definition
motion that has an oscillation amplitude that decreases as time passes due to the presence of energy dissipation; the decrease in amplitude is the "damping"
Term
critical damping
Definition
the smallest degree of damping that completely eliminates the oscillations; the motion is said to be critically damped
Term
overdamped
Definition
when the damping exceeds the critical value
Term
underdamped
Definition
when the damping is less than the critical level; opposite of overdamped
Term
driven harmonic motion
Definition
the motion that results from a force being applied to stretch or compress a spring that is applied at all times, not just for a brief initial moment
Term
driving force
Definition
the force that causes driven harmonic motion
Term
natural frequency
Definition
the frequency of the spring system; the frequency at which the spring system naturally oscillates
Term
resonance
Definition
the condition in which a time-dependent force can transmit a large amount of energy to an oscillating object, leading to a large-amplitude motion; in the absence of damping, resonance occurs when the frequency of the force matches a natural frequency at which the object will oscillate
Term
Materials that return to their original form after becoming distorted due to squeezing/stretching are said to be _____
Definition
elastic
Term
The value of Young's modulus depends on the _____
Definition
nature of the material
Term
Forces that are applied & cause stretching are called ____ forces, because they create a tension in the material
Definition
tensile
Term
In any situation where a cable is used to apply a force to an object, the _____ is stretched
Definition
cable
Term
The value of the shear modulus "S" depends on the _____
Definition
nature of the material
Term
The tensile force is _____ to the surface, whereas the shearing force is _____ the surface
Definition
perpendicular; parallel
Term
Young's modulus refers to a _____ of one dimension of a solid object as a result of tensile or compressive forces
Definition
change in length
Term
The shear modulus refers to a _____ of a solid object as a result of shearing forces
Definition
change in shape
Term
Is pressure a scalar or vector quantity?
Definition
scalar
Term
SI unit of pressure
Definition
N/m^2 (pascal) (Pa)
Term
The value of the bulk modulus depends on _____
Definition
the nature of the material
Term
Hooke's Law for Stress & Strain
Definition
stress is directly proportional to strain
Term
SI unit of stress
Definition
newton per square meter (N/m^2) (pascal) (Pa)
Term
SI unit of strain
Definition
it is unitless!
Term
proportionality limit
Definition
the point on the stress vs. strain graph where the material begins to deviate from straight-line behavior
Term
If the stress does not exceed the _____ of the material, the object will return to its original size & shape once the stress is removed
Definition
elastic limit
Term
elastic limit
Definition
the point beyond which the object no longer returns to its size & shape when the stress is removed; the object remains permanently deformed
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