# Shared Flashcard Set

## Details

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

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)^1/2re-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 Fwhere: R = Shortest distance to the point of rotation
Term
 Stress = ______
Definition
 F/A
Term
 Strain = ______
Definition
 Sigma/Lotherwise 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 * VWhere: 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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