Question Description
I'm working on a engineering project and need support to help me learn.
For this project option, you (as an individual) will write a 4-12 page paper covering the concepts and topics since the beginning of the course! These topics include:
Topics | Chapters of the book |
Rigid body kinematics | 16.1-16.3 |
General motion, absolute and relative motion: velocity | 16.4-16.5 |
Instantaneous centers of rotation | 16.6 |
Relative motion analysis: acceleration | 16.7 |
Relative motion in a rotating coordinate system | 16.8 |
Rigid body kinetics: translation | 17.2-17.3 |
Rigid body kinetics: Rotation about a fixed axis | 17.4 |
General plane motion | 17.5 |
Work and energy in rigid bodies | 18.1–18.4 |
Conservation of energy in rigid bodies, Angular Momentum of Particles | 18.5 |
Impulse and momentum in rigid bodies | 19.1-19.2 Each 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. |
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Explanation & Answer
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View attached explanation and answer. Let me know if you have any questions.
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Running Head: FINAL PROJECT
Final Project
Name of Student
Course
Date
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FINAL PROJECT
Final Project
Rigid body kinematics
This refers to the movement of rigid bodies (bodies whose shape does not change) such
as cams, gear designs, and modes of mechanical application (Chirikjian, 2018). The topic starts
with the definition of key terms used to describe the motion of these bodies. One is rotation
which describes the movement of an object without change in position. The other one is a
translation that describes a particle moving in parallel to its origin. The other is general plane
motion which describes a motion where the body moves along a parallel line to its origin and is
also fixed along the axis. In other words, general plane motion combines both translation and
rotation. When it comes to the rotation of such a body, the change is calculated by adding the
position vector plus the change to find the new position for velocity in a translation, V1 = V2,
where V1 and V2 represent the absolute velocity of location 1, and 2. Similarly, the acceleration
of both positions is equal. As for rotation, the motion made is circular.
The angle made as the object moves and the radius from the axis determines the angular
position. Therefore, the formula of calculating angular displacement, velocity, and angular
acceleration is used. Objects such as gears are made using both motions, and thus engineers use
the concept of angular motions. After finding angular motion w and Q, the speed and
acceleration at a given place can be calculated. It is important to note that angular speed acts at a
perpendicular angle to the path along which the particle is moving. From this chapter, two
derived formulas are at = Q'r (magnitude of velocity) and an = w2r (acceleration)
General motion, absolute and relative motion: velocity
Normally, an object that does not change in shape moves through combining rotation and
translation. In this case, the position vector of the new location is calculated by adding the
position vector from the origin to this new point. Therefore, the displacement (movement due to
rotation and translation) of the particle is calculated by adding displacement obtained from the
rotation and that of displacement. Further, the velocity obtained from the movement of the
particle is yielded by dr2/dt = (dx1 + dr2/A) dt. This results in V2= V1 + V2/1. Based on the
formula derived in 16.3, V2 /1= W X r 2/1. Therefore, the final equation used in vector analysis is
V2= V1 + w X r2/1, where v is the velocity at a point, and w is the body’s angular velocity. The
middle part of the circle, which is around the axis, moves in a horizontal position. The lower part
of the circle is at zero velocity when it touches the ground (Wang, Yu, Zhang& Zhao, 2018).
This is because as it touches the ground, the velocity is at its maximum, and by touching another
surface, there is no movement. To...