Contact Us
Sign In / Sign Up for FREE
Go to advanced search...

Application of the equations of motion - Book Report/Review Example

Comments (0) Cite this document
The aim of this project is to design an experiment that will test and validate the concepts of Newton’s equation of motion, conservation of energy and rotational motion. These principles form the basics of all of physics and applied engineering. In this experiment, all the…
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER97.2% of users find it useful
Application of the equations of motion
Read TextPreview

Extract of sample "Application of the equations of motion"

Download file to see previous pages During the flight of the body as well as in every other physical situation involving change of any kind, energy might be transformed within the system but the total energy of the system has to be necessarily conserved all the time. This is called the Principle of conservation of energy.
If a body in motion not only has translational motion but also undergoes rotation about an axis, newton’s laws of motion are still valid however, mass is replaced by moment of inertia (I), force by torque (τ), acceleration (α) and velocity (ω) by angular acceleration and angular velocity respectively. The corresponding Newton’s law for rotational motion states that:
The arrangement of the experimental setup is as shown in the figure. Small steel balls are allowed to fall through a long metallic pipe which is itself kept at an elevation H from the ground. After leaving the tube, the ball undergoes projectile motion, finally touching the ground at the distance x, as shown in the figure. The tilt of the tube can be adjusted.
Where W is the energy expended due to friction. However, the friction within the tube also causes the balls to undergo rotational motion. The moment of inertia of a spherical ball being given by , the total kinetic energy of the ball is given by:
We note that if we have the energy lost due to friction W, then the correct position of landing of the ball x can be determined accurately for any angle θ. All the other parameters can be determined experimentally.
4) The ground near the point of approach of the ball is lined with white paper on top of which carbon paper is laid. Distances x and L are measured from the spot made by the carbon paper to the base of the ...Download file to see next pagesRead More
Cite this document
  • APA
  • MLA
(“Application of the equations of motion Book Report/Review - 1”, n.d.)
Application of the equations of motion Book Report/Review - 1. Retrieved from
(Application of the Equations of Motion Book Report/Review - 1)
Application of the Equations of Motion Book Report/Review - 1.
“Application of the Equations of Motion Book Report/Review - 1”, n.d.
  • Cited: 0 times
Comments (0)
Click to create a comment or rate a document

CHECK THESE SAMPLES OF Application of the equations of motion

Linear Equations

...?Linear Equations: Linear equation, an important concept in algebra was invented by Rane Descartes. Descartes was born in 1596 in France. He studied mathematics from the book of Culvius. Linear algebra was followed by the development of determinants in 1693 and Cramer presented his theory to solve systems of linear equations in 1750. Dependent and Independent Variables analysis started developing thereafter. Linear models formation was naturally a next step further for the solution of several real life issues. (A Brief History) Linear equation concept gave birth to the dependent and independent variables. Linear equation shows a relationship between two...
3 Pages(750 words)Research Paper

Equations of Motion

... and the particle, and w represents the angular velocity of the rolling object. Mechanical energy of a rolling object can be defined as kinetic energy plus potential energy in the system of an object. For mechanical energy to be conserved, the sum of kinetic and potential energies within the system should always remain constant especially when the object is only affected (Adams. 2008) by conservative forces. For uniform acceleration to occur, the equations that would describe the object’s motion include: V= u +at ............................................................................................................................(2) S= ?(u+ v) t... ...
7 Pages(1750 words)Essay

Equations of Motion

...? Equation of motion: Simple Harmonic Motion Objectives of the experiment. The main objectives of this experiment include: To construct simple pendulums, and find their periods. To generate values for (Ag) the free fall acceleration. To evaluate the relationships between length and period for different pendulums. Introduction. Simple harmonic motion involves an oscillating motion where by the restoring force is proportional to the displacement. When a system is set in a to and fro motion, a periodic motion is produced. This is referred to as vibration. When a body is at rest, it is said to be at its equilibrium position....
7 Pages(1750 words)Essay

Solving Equations

...In this project, Bluman (2004, p. 331) challenged students to examine an equation, x2 – x + 41, which purportedly yields prime numbers. Students choose numbers to substitute to x in the formula and observe if prime numbers occur. An added challenge was to venture into finding a number, which when substituted in the given equation, will result in a composite number. It is presupposed that a prime number is one whose factors are itself and 1, is common knowledge. On the other hand, a composite number may not be that much of a common knowledge. A definition is thus, provided: a composite number is “any whole number greater than one that is not a prime number … [it] always has at least one divisor other...
4 Pages(1000 words)Assignment

Application of the equations of motion

...Applications of Newton’s Laws of Motion – Measurement of the acceleration due to gravity g using gym weights Introduction and Principle Newton’s equations of motion form the basis of all engineering and constitute the quantitative framework of Newton’s laws of motion. If a body with initial velocity u undergoes uniform acceleration a and covers a distance s in the time t, Where v is the final velocity. When applied to rotating bodies, these equations undergo a change of terms. The terms corresponding to distance, velocity, acceleration and force, change respectively to angle, angular velocity, angular acceleration and torque. Mass is...
5 Pages(1250 words)Book Report/Review

Sigma Motion Inc. Application #4

...Facts of Sigma Motion Inc’s case as it relates to the of the business The article exemplifies the performance of Sigma Motion Inc in the linear motion products business. Sigma Motion Inc produced four product lines all based on linear motion which were; acme screws, worm gear screws, ball screws and linear bearings. The application reading outlines designing and manufacturing of linear motion components and systems as the core competency of the Sigma Motion Inc. in fact, use of the unique rolling technology differentiate Sigma from other companies dealing with the manufacture of linear...
4 Pages(1000 words)Essay

Equations of motion

...Introduction In this experiment the moment of inertia of a solid disk was determined by studying and analyzing the dynamics of a rotating disk when a constant torque was applied to it. From it, it should be evident that the value of moment of inertia calculated experimentally is equal to the theoretical value within experimental error. Furthermore, the conservation of Mechanical energy in rotational motion was studied and also the effect of any non-conservative Forces on the motion were investigated, reduced and compensated. The equations of motion are used to describe the movement in a straight line that is in uniform acceleration. There are three...
10 Pages(2500 words)Assignment

Quadratic equations

...Can you think of examples of processes that could be modeled with quadratic equations? In the real world, ‘Quadratic Equations’ can prove useful in a number of ways as – (1) Modeling costs for a general store – In C(x) = -0.03x2 + 57x + 310, for instance, the independent variable ‘x’ may refer to the number of materials bought which a store needs in order to produce sellable items. These materials are worth the variable cost C(x) with fixed cost of $310. Since the parabolic curve opens downward, as characterized by the negative leading coefficient, one manages to determine that a maximum cost is reached when x = -57/[ 2(-0.03) ]. The cost may be predicted to decline once the store decides to...
1 Pages(250 words)Assignment

Molecular and ionic equations

...s Post-Laboratory Assignment Molecular and ionic equations Step1 Molecular equation Cu(s)+4NHO3 (aq) Cu(NO3)2 (aq)+2NO2 (g)+2H2O (g) Ironic equation Cu(s)+4H+(aq)+4NO3-(aq) Cu2+(aq)+2NO3-(aq)+ 2N3+(aq)+4O2-(aq)+ 2H2O (g) Step 2 Molecular equation Cu(NO3)2 (aq)+2NaOH(aq) Cu(OH)2 (s)+2NaNO3 (aq) Ionic equation Cu2+(aq)+ 2NO3-(aq)+2Na+(aq)+2OH-(aq) Cu2+(aq)+ 2OH-(aq)+2 Na+(aq)+ 2NO3-(aq) Step 3 Molecular equation Cu(OH)2 (s) CuO(s) +H2O(g) Ionic equation Cu2+(aq)+ 2OH-(aq) Cu2+(aq)+O2-+ H2O(g) Step...
1 Pages(250 words)Assignment

Applications of the Equations of Motion

...-uniform. Another constraint of the equations of motion is that the motion should be only in a straight line. These equations are not valid for three dimensional motions of objects. However these equations of motions cannot be dismissed due to the constraints mentioned above. Although the equations will perfectly in an ideal condition but in non-ideal real world situation also these equations come close to the reality. They help us give a picture of the real situation is like. There are many applications of these equations. The most common...
8 Pages(2000 words)Book Report/Review
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.

Let us find you another Book Report/Review on topic Application of the equations of motion for FREE!

Contact Us