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Moment Of Inertia Calculation For I Section #5 Determine The Moment Of Inertia About The Centroid

Thursday, June 21st, 2018 - Category: Sectional
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Moment Of Inertia Calculation For I Section #5 Determine The Moment Of Inertia About The Centroid

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Moment

mo•ment (mōmənt),USA pronunciation n. 
  1. an indefinitely short period of time;
    instant: I'll be with you in a moment.
  2. the present time or any other particular time (usually prec. by the): He is busy at the moment.
  3. a definite period or stage, as in a course of events;
    juncture: at this moment in history.
  4. importance or consequence: a decision of great moment.
  5. a particular time or period of success, excellence, fame, etc.: His big moment came in the final game.
  6. the mean or expected value of the product formed by multiplying together a set of one or more variates or variables each to a specified power.
    • an aspect of a thing.
    • [Obs.]an essential or constituent factor.
  7. [Mech.]
    • a tendency to produce motion, esp. about an axis.
    • the product of a physical quantity and its directed distance from an axis: moment of area; moment of mass.

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

Inertia

in•er•tia (in ûrshə, i nûr-),USA pronunciation n. 
  1. inertness, esp. with regard to effort, motion, action, and the like;
    inactivity;
    sluggishness.
    • the property of matter by which it retains its state of rest or its velocity along a straight line so long as it is not acted upon by an external force.
    • an analogous property of a force: electric inertia.
  2. lack of activity, esp. as applied to a uterus during childbirth when its contractions have decreased or stopped.
in•ertial, adj. 

Calculation

cal•cu•la•tion (kal′kyə lāshən),USA pronunciation n. 
  1. the act or process of calculating; computation.
  2. the result or product of calculating: His calculations agree with ours.
  3. an estimate based on the known facts;
    forecast: Her calculation of the building costs proved quite accurate.
  4. forethought;
    prior or careful planning.
  5. scheming selfishness.

For

for (fôr; unstressed fər),USA pronunciation prep. 
  1. with the object or purpose of: to run for exercise.
  2. intended to belong to, or be used in connection with: equipment for the army; a closet for dishes.
  3. suiting the purposes or needs of: medicine for the aged.
  4. in order to obtain, gain, or acquire: a suit for alimony; to work for wages.
  5. (used to express a wish, as of something to be experienced or obtained): O, for a cold drink!
  6. sensitive or responsive to: an eye for beauty.
  7. desirous of: a longing for something; a taste for fancy clothes.
  8. in consideration or payment of;
    in return for: three for a dollar; to be thanked for one's efforts.
  9. appropriate or adapted to: a subject for speculation; clothes for winter.
  10. with regard or respect to: pressed for time; too warm for April.
  11. during the continuance of: for a long time.
  12. in favor of;
    on the side of: to be for honest government.
  13. in place of;
    instead of: a substitute for butter.
  14. in the interest of;
    on behalf of: to act for a client.
  15. in exchange for;
    as an offset to: blow for blow; money for goods.
  16. in punishment of: payment for the crime.
  17. in honor of: to give a dinner for a person.
  18. with the purpose of reaching: to start for London.
  19. contributive to: for the advantage of everybody.
  20. in order to save: to flee for one's life.
  21. in order to become: to train recruits for soldiers.
  22. in assignment or attribution to: an appointment for the afternoon; That's for you to decide.
  23. such as to allow of or to require: too many for separate mention.
  24. such as results in: his reason for going.
  25. as affecting the interests or circumstances of: bad for one's health.
  26. in proportion or with reference to: He is tall for his age.
  27. in the character of;
    as being: to know a thing for a fact.
  28. by reason of;
    because of: to shout for joy; a city famed for its beauty.
  29. in spite of: He's a decent guy for all that.
  30. to the extent or amount of: to walk for a mile.
  31. (used to introduce a subject in an infinitive phrase): It's time for me to go.
  32. (used to indicate the number of successes out of a specified number of attempts): The batter was 2 for 4 in the game.
  33. for it, See  in (def. 21).

conj. 
  1. seeing that;
    since.
  2. because.

I

Roman numerals,
  • the numerals in the ancient Roman system of notation, still used for certain limited purposes, as in some pagination, dates on buildings, etc. The common basic symbols are  I (=1), V (=5), X (=10), L (=50), C (=100), D (=500), and  M (=1000). The Roman numerals for one to nine are: I, II, III, IV, V, VI, VII, VIII, IX. A bar over a letter multiplies it by 1000;
    thus, X̄ equals 10,000. Integers are written according to these two rules: If a letter is immediately followed by one of equal or lesser value, the two values are added;
    thus, XX equals 20, XV equals 15, VI equals 6. If a letter is immediately followed by one of greater value, the first is subtracted from the second;
    thus, IV equals 4, XL equals 40, CM equals 900. Examples: XLVII(=47), CXVI(=116), MCXX(=1120), MCMXIV(=1914). Roman numerals may be written in lowercase letters, though they appear more commonly in capitals.
  • Section

    sec•tion (sekshən),USA pronunciation n. 
    1. a part that is cut off or separated.
    2. a distinct part or subdivision of anything, as an object, country, community, class, or the like: the poor section of town; the left section of a drawer.
    3. a distinct part or subdivision of a writing, as of a newspaper, legal code, chapter, etc.: the financial section of a daily paper; section 2 of the bylaws.
    4. one of a number of parts that can be fitted together to make a whole: sections of a fishing rod.
    5. (in most of the U.S. west of Ohio) one of the 36 numbered subdivisions, each one square mile (2.59 sq. km or 640 acres), of a township.
    6. an act or instance of cutting;
      separation by cutting.
      • the making of an incision.
      • an incision.
    7. a thin slice of a tissue, mineral, or the like, as for microscopic examination.
    8. a representation of an object as it would appear if cut by a plane, showing its internal structure.
    9. [Mil.]
      • a small unit consisting of two or more squads.
      • Also called  staff section. any of the subdivisions of a staff.
      • a small tactical division in naval and air units.
      • a division of a sleeping car containing both an upper and a lower berth.
      • a length of trackage, roadbed, signal equipment, etc., maintained by one crew.
    10. any of two or more trains, buses, or the like, running on the same route and schedule at the same time, one right behind the other, and considered as one unit, as when a second is necessary to accommodate more passengers than the first can carry: On holidays the New York to Boston train runs in three sections.
    11. a segment of a naturally segmented fruit, as of an orange or grapefruit.
    12. a division of an orchestra or band containing all the instruments of one class: a rhythm section.
    13. [Bookbinding.]signature (def. 8).
    14. Also called  section mark. a mark used to indicate a subdivision of a book, chapter, or the like, or as a mark of reference to a footnote.
    15. [Theat.]one of a series of circuits for controlling certain lights, as footlights.
    16. shape (def. 12).

    v.t. 
    1. to cut or divide into sections.
    2. to cut through so as to present a section.
    3. to make an incision.

    The

    the1  (stressed ᵺē; unstressed before a consonant ᵺə;
    unstressed before a vowel ᵺē),USA pronunciation
     definite article. 
    1. (used, esp. before a noun, with a specifying or particularizing effect, as opposed to the indefinite or generalizing force of the indefinite article a or an): the book you gave me; Come into the house.
    2. (used to mark a proper noun, natural phenomenon, ship, building, time, point of the compass, branch of endeavor, or field of study as something well-known or unique):the sun;
      the Alps;
      theQueen Elizabeth;
      the past; the West.
    3. (used with or as part of a title): the Duke of Wellington; the Reverend John Smith.
    4. (used to mark a noun as indicating the best-known, most approved, most important, most satisfying, etc.): the skiing center of the U.S.; If you're going to work hard, now is the time.
    5. (used to mark a noun as being used generically): The dog is a quadruped.
    6. (used in place of a possessive pronoun, to note a part of the body or a personal belonging): He won't be able to play football until the leg mends.
    7. (used before adjectives that are used substantively, to note an individual, a class or number of individuals, or an abstract idea): to visit the sick; from the sublime to the ridiculous.
    8. (used before a modifying adjective to specify or limit its modifying effect): He took the wrong road and drove miles out of his way.
    9. (used to indicate one particular decade of a lifetime or of a century): the sixties; the gay nineties.
    10. (one of many of a class or type, as of a manufactured item, as opposed to an individual one): Did you listen to the radio last night?
    11. enough: He saved until he had the money for a new car. She didn't have the courage to leave.
    12. (used distributively, to note any one separately) for, to, or in each;
      a or an: at one dollar the pound.

    Moment

    mo•ment (mōmənt),USA pronunciation n. 
    1. an indefinitely short period of time;
      instant: I'll be with you in a moment.
    2. the present time or any other particular time (usually prec. by the): He is busy at the moment.
    3. a definite period or stage, as in a course of events;
      juncture: at this moment in history.
    4. importance or consequence: a decision of great moment.
    5. a particular time or period of success, excellence, fame, etc.: His big moment came in the final game.
    6. the mean or expected value of the product formed by multiplying together a set of one or more variates or variables each to a specified power.
      • an aspect of a thing.
      • [Obs.]an essential or constituent factor.
    7. [Mech.]
      • a tendency to produce motion, esp. about an axis.
      • the product of a physical quantity and its directed distance from an axis: moment of area; moment of mass.

    Of

    of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
    1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
    2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
    3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
    4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
    5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
    6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
    7. (used to indicate possession, connection, or association): the king of France; the property of the church.
    8. (used to indicate inclusion in a number, class, or whole): one of us.
    9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
    10. (used to indicate reference or respect): There is talk of peace.
    11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
    12. (used to indicate a specified time): They arrived of an evening.
    13. [Chiefly Northern U.S.]before the hour of;
      until: twenty minutes of five.
    14. on the part of: It was very mean of you to laugh at me.
    15. in respect to: fleet of foot.
    16. set aside for or devoted to: a minute of prayer.
    17. [Archaic.]by: consumed of worms.

    Inertia

    in•er•tia (in ûrshə, i nûr-),USA pronunciation n. 
    1. inertness, esp. with regard to effort, motion, action, and the like;
      inactivity;
      sluggishness.
      • the property of matter by which it retains its state of rest or its velocity along a straight line so long as it is not acted upon by an external force.
      • an analogous property of a force: electric inertia.
    2. lack of activity, esp. as applied to a uterus during childbirth when its contractions have decreased or stopped.
    in•ertial, adj. 

    About

    a•bout (ə bout),USA pronunciation prep. 
    1. of;
      concerning;
      in regard to: instructions about the work; a book about the Civil War.
    2. connected or associated with: There was an air of mystery about him.
    3. near;
      close to: a man about my height; about six o'clock.
    4. in or somewhere near: He is about the house.
    5. on every side of;
      around: the railing about the excavation.
    6. on or near (one's person): They lost all they had about them.
    7. so as to be of use to: Keep your wits about you.
    8. on the verge or point of (usually fol. by an infinitive): about to leave.
    9. here or there;
      in or on: to wander about the old castle.
    10. concerned with;
      engaged in doing: Tell me what it's about. Bring me the other book while you're about it.

    adv. 
    1. near in time, number, degree, etc.;
      approximately: It's about five miles from here.
    2. nearly;
      almost: Dinner is about ready.
    3. nearby;
      not far off: He is somewhere about.
    4. on every side;
      in every direction;
      around: Look about and see if you can find it.
    5. halfway around;
      in the opposite direction: to turn a car about.
    6. from one place to another;
      in this place or that: to move furniture about; important papers strewn about.
    7. in rotation or succession;
      alternately: Turn about is fair play.
    8. in circumference: a wheel two inches about.
    9. [Naut.]
      • onto a new tack.
      • onto a new course.

    adj. 
    1. moving around;
      astir: He was up and about while the rest of us still slept.
    2. in existence;
      current;
      prevalent: Chicken pox is about.

    The

    the1  (stressed ᵺē; unstressed before a consonant ᵺə;
    unstressed before a vowel ᵺē),USA pronunciation
     definite article. 
    1. (used, esp. before a noun, with a specifying or particularizing effect, as opposed to the indefinite or generalizing force of the indefinite article a or an): the book you gave me; Come into the house.
    2. (used to mark a proper noun, natural phenomenon, ship, building, time, point of the compass, branch of endeavor, or field of study as something well-known or unique):the sun;
      the Alps;
      theQueen Elizabeth;
      the past; the West.
    3. (used with or as part of a title): the Duke of Wellington; the Reverend John Smith.
    4. (used to mark a noun as indicating the best-known, most approved, most important, most satisfying, etc.): the skiing center of the U.S.; If you're going to work hard, now is the time.
    5. (used to mark a noun as being used generically): The dog is a quadruped.
    6. (used in place of a possessive pronoun, to note a part of the body or a personal belonging): He won't be able to play football until the leg mends.
    7. (used before adjectives that are used substantively, to note an individual, a class or number of individuals, or an abstract idea): to visit the sick; from the sublime to the ridiculous.
    8. (used before a modifying adjective to specify or limit its modifying effect): He took the wrong road and drove miles out of his way.
    9. (used to indicate one particular decade of a lifetime or of a century): the sixties; the gay nineties.
    10. (one of many of a class or type, as of a manufactured item, as opposed to an individual one): Did you listen to the radio last night?
    11. enough: He saved until he had the money for a new car. She didn't have the courage to leave.
    12. (used distributively, to note any one separately) for, to, or in each;
      a or an: at one dollar the pound.

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