Science Homework Help

Experiment

4

Addition and Resolution of Vectors:

The Force Table

Name __________________________________ Lab Section________ Date__________________

Lab 4 information: https://static1.squarespace.com/static/5900904d440…

Pre-laboratory Assignment: Experiment 4

Addition and Resolution of Vectors: The Force Table

1. Name three examples of forces that you experience in your daily life.

a. Example: As I shop for groceries and my shopping cart fills up, I must use more force to push it.

2. How will you know when the forces on a force table are balanced?

3. Compare and contrast the graphical method with the analytical method.

Name ____________________________________ Lab Section________ Date_________________

REPORT ON EXPERIMENT 4

Addition and Resolution of Vectors: The Force Table

1a. Graphical Method of Vector Addition (On graph paper)
Given two vectors F1 = 250 g-dynes at 60° and F2 = 250 g-dynes at 150°, find their vector sum or resultant FR = F1 + F2 by the following procedures.

• Using the head-to-tail method of vector addition, draw a vector diagram for Part A. Use a scale for which the finished vector diagram fills about half a sheet of graph paper.
• Measure the magnitude and direction of the resultant with a ruler and protractor; record the results in the data table below.
• Use your scale to convert the magnitude of the vector in centimeters to a force in units of g- dynes.

Insert Graph (label all magnitudes and /_ ºs on the drawings, list the scale used and calculations converting back to g-dynes)

1A. From graph	Forces (g-dynes) Displacement (cm)
Parts A: Addition	F1 = 250, Ø1 = 60º F2 = 250, Ø2 = 150º

Displacement cm /_ º Force g-dynes /_º Resultant/Component Vector (magnitude and direction)

1b. Experimental: Addition of two vectors on the Force Table

Simulation: https://www.desmos.com/calculator/v8aqlonljg

Use the same scale as Part 1a.

Procedure:

a. Adjust force value for F₁

b. Adjust force value for F₂

c. F₃ = 0

d. F = 0

e. Click net-force vector

f. Calculate sum

Insert Picture

1B) F1 Magnitude (cm)	F2 Magnitude (cm)	Fr Magnitude (cm)	Fr (Calculate)	Displacement cm /_°	Force g-dynes/_°

Comparing 1A and 1B

Displacement Fr graph cm/_°	Displacement Fr Simulation cm/_°	Force Fr graph g-dynes/_°	Force Fr Simulation g-dynes/_°	% error of Force (Magnitude only) show calculation

B. Resolution of a Force into Its Components Fx and Fy on the Force Table

Given a force vector of F = 300 g-dynes at 40°, resolve the vector into its x and y components of Fx and Fy.

_{B1. Procedure: For simulation} Simulation: https://www.desmos.com/calculator/v8aqlonljg

Use the same scale as Part 1a.

Procedure:

a. Adjust force value for F₁

b. F₂ = 0

c. F₂ = 0

d. F₃ = 0

e. F₃ = 0

f. Click components: Use the values for F₁x and F₁y

F1x (g-dynes)=

F1y (g-dynes)=

Insert Picture

_{B2. Draw the resolution for 300/ 40}° (Use graph paper)

Insert Graph (label all magnitudes and /_ °s on the drawings and list the scale used)

_{B3. Use analytical method (use the same scale as the drawing)}

Fx	Fy
Fx1=	Fy1=

_{Show calculations}

C. Determine the resultant of F1 = 100 / 30°

F2 = 200 / 90°

F3 = 300 / 120°

1) Graphical Method (On graph paper)

Insert Graph (label all magnitudes and /_ °s on the drawings and list the scale used)

What is the resultant in cm. and g-dynes? Show calculations

_____________________________ ______________________________

2) Analytical method (Show calculations)

Displacement Fr analysis cm/_°	Displacement Fr graph cm/_°	Force Fr analysis g-dynes/_°	Force Fr graph g-dynes/_°	% error of Force (Magnitude only) show calculation

Name ____________________________________ Lab Section________ Date_________________

REPORT ON EXPERIMENT 4

QUESTIONS

(Submit your answers on separate sheets as necessary.)

1. Using vectors, show how 10 N + 10 N could equal 20N.

• Using vectors, show how 10 N + 10 N could equal 0 N.
• Using vectors, show how 10 N + 10 N could equal 10 N.
• Using vectors, show why 5 N + 12 N cannot equal 18 N.