Loading...

Messages

Proposals

Stuck in your homework and missing deadline? Get urgent help in $10/Page with 24 hours deadline

Get Urgent Writing Help In Your Essays, Assignments, Homeworks, Dissertation, Thesis Or Coursework & Achieve A+ Grades.

Privacy Guaranteed - 100% Plagiarism Free Writing - Free Turnitin Report - Professional And Experienced Writers - 24/7 Online Support

Difference between resultant and equilibrant

23/11/2021 Client: muhammad11 Deadline: 2 Day

Vector Addition of Forces

Objectives: To use the force table to experimentally determine the force that balances two or more forces. This result is checked by analytically adding two or more forces using their horizontal and vertical vector components, and then by graphically adding the force vectors on the force table.

Theory: If several forces are acting on a point, their resultant ๐‘… is given as

๐‘…=๐ด+๐ต+๐ถ

Rx = Ax + Bx + Cx

Ry = Ay + By + Cy

R = ๐‘…= ๐‘…!!+๐‘…!! !!๐‘…!

๐œƒ! = tan ๐‘…!

Then if the equilibrant ๐ธ is a force that brings the system to equilibrium

E+๐‘…=0, this means

๐ธ=โˆ’๐‘… (E = R, ฮธE = ฮธR+180ยฐ)

This means Ex = -Rx and Ey = -Ry

Note for todayโ€™s lab: read the details, discuss with your group, and follow the instructions systematically. We have done several of these questions in class so now work by yourselves. If you want more details, look up your textbook or online.

Method: You will hang some mass on the pulley hangers that are attached by a thread. This means the weight of that mass is a force vertically down. However, the string is attached to the central ring of the force table, and this means a tension equal to the weight of the mass is a force acting on the central ring. This means you can set up one or more forces acting on the central ring, calculate their resultant force (resultant, ๐‘…).

Then you can determine what force (Equilibrant, ๐ธ) would balance these forces to bring the system to equilibrium.

Apparatus:

Force table, 4 pulley clamps, 3 mass hangers, 1 mass set, string (or spool of thread)

Force table: A force table is a simple set up that can be used to observe vector addition and equilibrium. You can attach a (one or more) pulley at the edge of the table, and hang a mass on a string that goes through this pulley. Hanging mass means a weight is acting downward and the tension on the hanging string is acting upward. However, on the top of the table, the string is attached to a central ring. This string applies a horizontal tension to the ring. The central ring is our object of interest and we will observe the effect of various forces on this ring. You can change the magnitude of the force by changing the hanging mass.

The table surface has a protractor so you can set up vectors in specific directions.

You can find more information online on how a force table works.

If a mass โ€œmโ€ is hanging over the pulley, the mass has a force downward (= the weight of the mass, mg). And the tension on the string is upward. The magnitude of the tension

)

mg

=

)

(

image credit: CCNY CUNY

Set up the force table such that 0 of the table protractor is on your right (just like x-axis on a Cartesian coordinate system. This means 0ยฐ, 90ยฐ, 180ยฐ, and 270ยฐ should be along +x, +y, -x, -y of your coordinate system.

(image credit: CCNY CUNY)

Resultant vs. Equilibrant

Resultant force is the vector sum of the individual forces acting on the ring. The equilibrant is the force that brings the system to equilibrium.

(image credit: CCNY CUNY)

Precaution:

(1) Ensure that the central pin on the force table is always attached in place before and while you hang any mass unless otherwise specified. Otherwise the mass can suddenly drop and hurt someone (and also mess your experiment).

(2) Measure/note the mass of each hanger before you use it.

(3) The force needed to balance the force table is not the resultant force but the equilibrant force, which is negative of the resultant.

Experimental Procedure I: Use of only one force.

Step 1: Calculation only. Do not hang any mass yet; you will do that in Step II after you finish your data table below.

You will hang a mass (an example: 100 g) on a hanger. The angle should be 0ยฐ. Fill out the table below.

Force

Mass m

[g]

Mass m [kg]

Magnitude mg [N]

Angle ฮธ

[ยฐ]

x-

component

[N]

y-

component

[N]

๐‘จ

200g

0.2kg

1.960N

50

1.260

1.501

Resultant

Then we can write the resultant and the equilibrant below

Force

Magnitude

Angle

Resultant

1.96N

50

Equilibrant

1.96N

230

Step 2: now hang the mass for force ๐‘จ. Then apply the equilibrant force as you determined in your data table above.

To check if the system is actually in equilibrium, remove the central pin (at the center of the ring). If your system is actually in equilibrium, the ring will stay in place otherwise the masses will fall off in the direction on any net force.

Explain your observations.

Experimental Procedure II: Use of two forces.

Step 1: Calculation only. Do not hang any mass yet; you will do that in Step II after you finish your data table below.

You will hang two masses (an example: 100 g) on a hanger. The angle should be 0ยฐ. Fill out the table below.

Force

Mass m

[g]

Mass [kg]

Magnitude mg [N]

Angle ฮธ

[ยฐ]

x-

component

[N]

y-

component

[N]

๐‘จ

100g

.100kg

0.98N

0

0.98

0N

๐‘ฉ

75g

.075kg

0.735N

60

0.37

0.64N

Resultant

1.35N

0.64N

Then we can write the resultant and the equilibrant below

Force

Magnitude

Angle

Resultant

1.5N

25

Equilibrant

1.5N

205

Step 2: now hang the masses for forces ๐‘จ and ๐‘ฉ. Then apply the equilibrant force as you determined in your data table above.

To check if the system is actually in equilibrium, remove the central pin (at the center of the ring). If your system is actually in equilibrium, the ring will stay in place otherwise the masses will fall off in the direction on any net force.

Explain your observations.

Experimental Procedure III: Use of three forces.

Step 1: Calculation only. Do not hang any mass yet; you will do that in Step II after you finish your data table below.

You will hang two masses (an example: 100 g) on a hanger. The angle should be 0ยฐ. Fill out the table below.

Force

Mass

m[g]

Mass

m[kg]

Magnitude

mg[N]

Angle

ฮธ[ยฐ]

X

Component

[N]

y-

component

[N]

๐‘จ

25

0.025kg

0.0245N

0

0.245

0

๐‘ฉ

50

0.050kg

0.49N

30

0.424

0.25

๐‘ช

125

0.125kg

0.1225N

70

0.42

1.15

Resultant

1.089

1.40

Then we can write the resultant and the equilibrant below

Force

Magnitude

Angle

Resultant

1.77N

52

Equilibrant

1.77N

232

Step2: Now hang the masses for forces ๐‘จ and ๐‘ฉ and ๐‘ช. Then apply the equilibrant force as you determined in your data table above.

To check if the system is actually in equilibrium, remove the central pin (at the center of the ring). If your system is actually in equilibrium, the ring will stay in place otherwise the masses will fall off in the direction on any net force.

Explain your observations.

What to include in your lab report:

1) Your data tables and observations, comments, and analysis for three procedures you performed.

2) Draw a free body diagram for the ring in each case.

3) Explain why the forces on the central ring can be measured using the hanging masses.

1

1

Homework is Completed By:

Writer Writer Name Amount Client Comments & Rating
Instant Homework Helper

ONLINE

Instant Homework Helper

$36

She helped me in last minute in a very reasonable price. She is a lifesaver, I got A+ grade in my homework, I will surely hire her again for my next assignments, Thumbs Up!

Order & Get This Solution Within 3 Hours in $25/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 3 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 6 Hours in $20/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 6 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 12 Hours in $15/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 12 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

6 writers have sent their proposals to do this homework:

Writer Writer Name Offer Chat

Writers are writing their proposals. Just wait here to get the offers for your project...

Let our expert academic writers to help you in achieving a+ grades in your homework, assignment, quiz or exam.

Similar Homework Questions

Java assignment - View the film "Phil Zimbard - Nea teacher salaries by state - Pittosporum golf ball problems - The hotel paris case the new training program - Qualitative analysis of group 3 cations lab report - I need 2500 words report on Fashion Business Model Research - Tesla code of conduct - Travel Etiquette and Safety Brochure NEED IN 10HRS ONLY OFFER IF YOURE ABLE TO COMPLETE WITHIN SHORT TIME FRAME - Eisenstein printing press as an agent of change - 6 day push pull legs program - Caterpillar accounting fraud - Archetypes - ะกะบั–ะปัŒะบะธ ะบะฐะปะปะพั€ั–ะน ะฟะพั‚ั€ั–ะฑะฝะพ ั‰ะพะฑ ัั…ัƒะถะฝัƒั‚ะธ ะฝะฐ 10 ะบะณ - The faith healer of olive avenue pdf - How did the persian war unify greece - How to start a diary entry - Ap chemistry chemical kinetics worksheet answers - "Why should I Trust You?" - Italian ruscus botanical name - Reel wars discovery channel - Microscope coarse and fine adjustment - Terre mere active coconut charcoal clarifying cleanser review - Limitations of the behavioural approach - Journal entry (500-700 words) (strategic business mgmt topic) - Riverside tavern swr menu - Critical thinking in consumer behavior cases and experiential exercises answers - Bmt training schedule singapore - Advertising VI - Los baker van a peru sparknotes - Weg cfw11 control wiring diagram - Art appreciation test questions and answers - How to make a rock cycle project - Defining normality - Art/discussion - Classical conditioning theory in consumer behaviour - Theistic existentialism vs atheistic existentialism - Ron goldman crime scene - 0 to the power of negative 2 - Which part of the heart has the thickest walls - Mass media multiple choice questions - ACC 499 Week 7 Discussion 2 "Interpretation of GAAP and Ethical Issues" - Presidential election UNited States - Discussion - Chapter 1&2 revised - D 5 - Does proactiv have bleach in it - Punnett square for sex linked traits - Peter drucker management theory ppt - Barcode reader teach ict - Mcdonalds franchise application process - Application of maxwell's equation in thermodynamics - Help is needed... - Outback steakhouse international strategy - Inventory management in managerial economics - Casio fx 82au plus manual - Backtrack 5 tutorial for beginners - Unproctored watson glaser critical thinking appraisal - Specialist clinics bendigo health - North south east west compass - InfoTech in a Global Economy - 1.58 miles in km - Formulating Quantitative and Qualitative Research Questions - Newman projection to chair conformation - Descriptive text about place - New sat essay rubric - Sex without love summary - Bank vision statement examples - Gestalt vs person centered therapy - Main idea of me talk pretty one day - Implied immunity of instrumentalities - Leading change at simmons case solution - Apply for isrc code - Explain genre theory - Alan carr drinks globe for sale - Sectioning in engineering drawing ppt - Ca oh 2 aq ch3co2h aq - Anoche pilar y guillermo cenar en un restaurante elegante - What is data management math - Amazon target market - Junk food's popularity relies on marketing ppt - Predictable Surprise - Essay - Communication- For Creative Instructor ONLY- - Agar jelly diffusion experiment method - Does Marketing Create or Satisfy Needs? - Subgame perfect nash equilibrium exercises - 1 paragraph each Colleague - It works global toms shoes - Example of solid liquid and gas - Product rule derivatives with radicals - Molar mass of co2 - Dulux heritage colours exterior australia - Contention in an essay - How to improve employee productivity in capsim - Brookstone management concepts fairfield nj glassdoor - Fallacies of relevance ppt - Cerakote h series mix ratio - Commitment to academic excellence - An atom consists of a