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Exam I
Vectors, Torques + Moments, Equilibrium of Particles
26
Engineering
Undergraduate 3
10/07/2014

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Cards

Term
___ degrees of freedom exist in a three dimensional space
Definition
6
Term
1 Ft. is equivalent to ___ Meters
Definition
~ 0.304 m
Term
1 Slug is equivalent to ___ Kilograms
Definition
~ 14.99 Kg
Term
1 Lb. is equivalent to ___ Newtons
Definition
~ 14.99 N
Term
1 Horsepower is equivalent to ___ Watts
Definition
= 748 W
Term
In situations where v = constant, the problem can be treated as a ___ situation.
Definition
static (no acceleration)
Term
The force (Fp) perpendicular to both a vector (V) and a force (F) can be found using the equation: __________
Definition
F = (Fp^2 + V^2)^1/2
re-arrange:

Fp = (F^2 + V^2)^1/2
Term
In three dimensions, the moment created around a point (P) can be computed using the equation _______.
Definition
Mp = R x F

where:
R = Shortest distance to the point of rotation
Term
Stress = ______
Definition
F/A
Term
Strain = ______
Definition
Sigma/L

otherwise known as:

(Stress)/L
Term
Sy = ______
Definition
Yield strength of a material;
Term
Su = ______
Definition
Ultimate strength of a material;
Term
Sb = ______
Definition
Breaking point of a material;
Term
The equation for power (W) is : _______
Definition
W = F * V

Where:
W = Power (Watts)
Term
The equation for Horsepower is : ______
Definition
HP = Torque x Angular Velocity (Lb-Ft/Rad)
Term
Equations of Equalibrium; there can be only X number equations for 3 unknowns.
Definition
3 equations
Term
A unit vector can also be described as ______.
Definition
Directional cosines of a vector
Term
Fa = F*Ux is a _______.
Definition
Three dimensional posistion vector application
Term
In terms of Torque and RPM, what is the relationship between two meshed gears?
Definition
T1 * RPM1 = T2 * RPM2
Term
In terms of diameter and number of teeth, what is the relationship between two meshed gears?
Definition
D1 / D2 = N1 / N2
Term
What is the equation for Torsion?
Definition
Tau = (Torque*r)/J
Term
Couple forces create what effect on a rigid body?
Definition
Couple forces are parallel forces of equal magnitude and opposite direction.

The resultant FORCE of a couple is zero, but the RESULTANT of a couple is a moment about a point of rotation
Term
What is the equation for springs?
Definition
F = K (Spring Stiffness) * change in spring length
Term
The yield strength of a material is defined as:
Definition
The point where a material begins to deform plastically
Term
The ultimate strength of a material is defined as:
Definition
The maximum stress that a material can withstand before failing or breaking
Term
In terms of graphical illustrations, the Modulus of Elasticity is defined as:
Definition
The slope / angle of the line created by a material while within it's elastic range; Is constant regardless of prior plastic deformation.
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