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General motion, absolute and relative motion: velocity

May 25, 2021
Christopher R. Teeple

TopicsChapters of the bookRigid body kinematics

16.1-16.3General motion, absolute and relative motion: velocity

16.4-16.5Instantaneous centers of

What is the main hypothesis or question the article addresses?motion analysis: acceleration

16.7Relative motion in a rotating coordinate system

16.8Rigid body kinetics: translation

17.2-17.3Rigid body kinetics: Rotation about a fixed axis

17.4General plane motion

17.5Work and energy in rigid bodies

18.1–18.4Conservation of energy in rigid bodies, Angular Momentum of Particles

18.515.5 – 15.7Impulse and momentum in rigid bodies

19.1-19.2Each topic DOES NOT need its’ own section. For example, it may be easiest to talk about curvilinear motion in one section, or you may find it easier to separate curvilinear motion into two sections.

Do what works best for you!The paper should be single spaced, size 12 font, Times New Roman. You do not need to have a specific format for your reference section (if you use one), but you should include one if you are using outside references besides the class book.Additionally, 1 example problem from the topics above should be included in the paper and explained in detail (Like we have been doing for the HW and Lecture Activities)!

That is 1 example problem in total!Make sure to review the rubric before starting this assignment!The rubric refers to mastery, general knowledge, poor knowledge, or no knowledge. For reference, below is an example of these levels of knowledge/details related to the definition of the moment of a force.

MasteryGeneral KnowledgePoor knowledgeNo KnowledgeThe moment of a force is the tendency for the force to cause rotation of a particle/rigid body about a given point in space. One of the key features here is that the moment of the force is dependent upon where we measure it from; the point in space that we calculate the moment.

Mathematically, we calculate the moment of the force about a point A as MA=rA×FMA=rA×F , where MA is the moment of the force as a vector, F is the force vector, and rA is the position vector from A to any location along the line of action of the force.

The above mathematical representation is in vector form and works in all situations. However, sometimes the scalar form of the equation is easier to work with: MA=rA∗F∗sin(θ)MA=rA∗F∗sin⁡(θ) where the moment, position vector are in scalar form and θθ is the angle between the position vector and force vector.

(A visual drawing of this would really make this definition amazing)Mathematically, we calculate the moment of the force about a point A as MA=rA×FMA=rA×F , where MA is the moment of the force as a vector, F is the force vector, and rA is the position vector from A to any location along the line of action of the force. The above mathematical representation is in vector form and works in all situations.

However, sometimes the scalar form of the equation is easier to work with: MA=rA∗F∗sin(θ)MA=rA∗F∗sin⁡(θ) where the moment, position vector are in scalar form and θθ is the angle between the position vector and force vector. Mathematically, we calculate the moment of the force about a point A as MA=rA×FMA=rA×F , where MA is the moment of the force as a vector, F is the force vector, and rA is the position vector from A to any location along the line of action of the force.

The moment is the force applied over a distanceRubricFinal Exam Option 1 – paper review (1)Final Exam Option 1 – paper review (1)CriteriaRatingsPtsThis criterion is linked to a Learning OutcomeEffort35 ptsFull MarksThe paper is within the page limits and uses the correct font, font size, and spacing. Additionally, if outside references besides the book are used, a reference section is included with in-text citations

17.5 ptsAttemptedOne of the requirements for “Full Marks” was not achieved.0 ptsNo MarksMore than one of the requirements for “Full Marks” was not achieved.35 pts

This criterion is linked to a Learning OutcomeSpan of knowledge35 ptsFull MarksThe paper covers the listed topics. The content of the paper demonstrates the individuals’ mastery of the content24.5 ptsGoodThe paper covers the listed topics. The content of the paper demonstrates the individual has general knowledge of the topics17.5 ptsAttempted

The paper covers more than 50% of the listed topics, but not all of them AND/OR the content of the paper demonstrates the individuals’ poor understanding of the content0 ptsNo MarksThe paper covers less than 50% of the listed topics AND/OR the there is no demonstrated knowledge of the topics35 pts

This criterion is linked to a Learning OutcomeExample Problem30 ptsFull MarksAn Example Problem from the topics is included in the paper. The step-by-step explanation of the Example Problem demonstrates the individuals’ mastery of the content24 ptsGoodAn Example Problem from the topics is included in the paper.

The step-by-step explanation of the Example Problem demonstrates the individuals’ general knowledge of the topic15 ptsAttemptedAn Example Problem from the topics is included in the paper.

The step-by-step explanation of the Example Problem demonstrates the individuals’ poor understanding of the topic0 ptsNo MarksAn Example Problem from the topics is not included in the paper AND/OR the step-by-step explanation of the Example Problem demonstrates the individual has no knowledge of the topic30 ptsTotal Points: 100
Requirements: 4-12 pages

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