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Balancing Act: Solving Torque Problems in Physics, Lecture notes of Law

An activity worksheet for an introductory physics course for engineering students, covering the topic of torque and equilibrium on a seesaw. The worksheet presents several case studies with varying mass and distance configurations, guiding students through the calculations to determine the net torque and the unknown masses. The document aims to help students develop their problem-solving skills in applying the principles of torque and equilibrium to real-world scenarios. It covers topics such as the relationship between mass, distance, and torque, as well as techniques for finding unknown masses using the equilibrium condition. The worksheet is designed to engage students in hands-on learning and reinforce their understanding of the fundamental concepts in classical mechanics.

Typology: Lecture notes

2021/2022

Uploaded on 09/30/2023

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EN PHYS 1 PHYSICS FOR ENGINEERS
Semester AY 2022 - 2023
ACTIVITY WORKSHEET
Prepared by: Noli M. Esperas Jr.
Page 1 of 20
Republic of the Philippines
CAMARINES NORTE STATE COLLEGE
F. Pimentel Avenue, Brgy. 2, Daet, Camarines
COLLEGE OF ENGINEERING
Direction: Go to the link - https://phet.colorado.edu/sims/html/balancing-act/latest/balancing-act_en.html
Choose “Intro” tab. Play around with the simulation for a few minutes to understand/ explore the functionalities of
the different components. To check if the board is balanced at the pivot, remove supports under the board by toggling
the switch at bottom of the screen to right.
Submit your output to this link
https://drive.google.com/drive/folders/13TMvJ0ufac6QgET43CMiLVld12EqIFOJ?usp=share_link
PART 1: BALANCING TORQUES ON A SEESAW
Choose “Balance Lab” tab. Select the following options in right corner of the screen:
Mass Labels, Level, Rulers
For each of the following cases, balance the board at the pivot. Don’t forget to remove the supports under the board.
For each case, calculate total clockwise torque (Σ τcw ), total counterclockwise torque (Σ τccw ) and net torque (Σ τ = Σ
τcw + Σ τccw ). Don’t forget to convert masses to weights and the signs of toques (cw torque is negative & ccw torque
is positive).
NOTE: Show calculation steps. Do not just compute on calculator and write the answer. Instead write the complete
expression showing what numbers you multiplied/added to get the answers.
Rating:
Name:
Paul Jeremy L. Mendoza
Course/Block:
BSEE 1A
April 25, 2023
Activity No. 3
:
Balancing Act
Learning Objective:
At the end of this activity, the student must be able to:
1. Demonstrate through the simulation concept of torque.
2. Analyze and calculate a scenario involving torque.
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EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Direction: Go to the link - https://phet.colorado.edu/sims/html/balancing-act/latest/balancing-act_en.html

Choose “Intro” tab. Play around with the simulation for a few minutes to understand/ explore the functionalities of

the different components. To check if the board is balanced at the pivot, remove supports under the board by toggling

the switch at bottom of the screen to right.

Submit your output to this link

https://drive.google.com/drive/folders/13TMvJ0ufac6QgET43CMiLVld12EqIFOJ?usp=share_link

PART 1: BALANCING TORQUES ON A SEESAW

Choose “Balance Lab” tab. Select the following options in right corner of the screen:

Mass Labels, Level, Rulers

For each of the following cases, balance the board at the pivot. Don’t forget to remove the supports under the board.

For each case, calculate total clockwise torque ( Σ τ cw

), total counterclockwise torque ( Σ τ ccw

) and net torque ( Σ τ = Σ

τ cw

  • Σ τ ccw

). Don’t forget to convert masses to weights and the signs of toques (cw torque is negative & ccw torque

is positive).

NOTE: Show calculation steps. Do not just compute on calculator and write the answer. Instead write the complete

expression showing what numbers you multiplied/added to get the answers.

Name: Paul Jeremy L. Mendoza Rating:

Course/Block: BSEE 1A Date:

April 2 5 , 2023

Activity No. 3 : Balancing Act

Learning Objective: At the end of this activity, the student must be able to:

  1. Demonstrate through the simulation concept of torque.
  2. Analyze and calculate a scenario involving torque.

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Case 1.

5 kg on the right of the pivot, 10 kg on left of the pivot.

Screenshot:

Given:

𝑚

1

= 10 𝑘𝑔; 𝐿

1

= 0. 25 𝑚

𝑚

2

= 15 𝑘𝑔 ; 𝐿

2

= 0. 5 𝑚

Calculations:

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

𝒄𝒘

𝟏

𝟏

Σ τ ccw

2

Σ τ = Σ τ cw

  • Σ τ ccw

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Case 3.

5 kg & 20 kg on right of the pivot, 10 kg & 15 kg on left of the pivot.

Screenshot:

Given:

𝑚

1

= 10 𝑘𝑔; 𝐿

1

= 0. 5 𝑚

𝑚

2

= 15 𝑘𝑔 ; 𝐿

2

= 0. 75 𝑚

𝑚

3

= 20 𝑘𝑔; 𝐿

3

= 0. 5 𝑚

𝑚

4

= 5 𝑘𝑔; 𝐿

4

= 1. 25 𝑚

Calculations:

𝒄𝒘

𝟏&𝟐

𝟏&𝟐

Σ τ cw

2

2

𝒄𝒄𝒘

𝟑&𝟒

𝟑&𝟒

Σ τ ccw

2

2

Σ τ = Σ τ cw

  • Σ τ ccw

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Case 4.

5 kg, 10 kg & 15 kg on right of the pivot, 20 kg on left of the pivot.

Screenshot:

Given:

𝑚

1

= 20 𝑘𝑔; 𝐿

1

= 1. 5 𝑚

𝑚

2

= 5 𝑘𝑔 ; 𝐿

2

= 0. 25 𝑚

𝑚

3

= 10 𝑘𝑔; 𝐿

3

= 1 𝑚

𝑚

4

= 15 𝑘𝑔; 𝐿

4

= 1. 25 𝑚

Calculations:

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

𝒄𝒘

𝟏,𝟐&𝟑

𝟏,𝟐&𝟑

Σ τ ccw

2

2

2

Σ τ = Σ τ cw

  • Σ τ ccw

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Choose “Balance Lab” tab. Select the following options in right corner of the screen:

Mass Labels, Level, Rulers

In the “Bricks” section on the right of the screen, click on the right arrow. Keep on clicking to the right until you see

“Mystery Objects”.

Find out the mass of each of the Mystery Objects “A”, “B”, “C”, “D”, “E”, “F”, “G” and “H” by balancing each of

these against the bricks of known masses. For each Mystery Object, paste a screenshot of balanced seesaw and show

all calculation steps.

Mystery Object “A”

Screenshot of balanced seesaw:

Given:

𝑚

1

=? ; 𝐿

1

= 0. 25 𝑚

𝑚

2

= 5 𝑘𝑔 ; 𝐿

2

= 1 𝑚

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Calculations:

𝒄𝒄𝒘

𝟐

𝟐

Σ τ ccw

2

Mystery Object “A” = Σ τ cw

𝒄𝒘

𝒄𝒄𝒘

𝟏

1

Στ

ccw

1

1

  1. 05 𝑁∗𝑚

(

  1. 81 𝑚 𝑠

2

⁄ ) ( 0. 25 𝑚)

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

Σ τ = Σ τ cw

  • Σ τ ccw

Proving

𝒄𝒘

𝒄𝒄𝒘

𝒎

𝟏

𝒈 ∗ 𝑳

𝟏

= 𝒎

𝟐

𝒈 ∗ 𝑳

𝟐

𝒎

𝟏

2

2

1

2

2

1

2

2

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

1

  1. 26 𝑁∗𝑚

( 9. 81 𝑚 𝑠

2

⁄ )( 0. 25 𝑚)

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

Σ τ = Σ τ cw

  • Σ τ ccw

Proving

𝒄𝒘

𝒄𝒄𝒘

𝒎

𝟏

𝒈 ∗ 𝑳

𝟏

= 𝒎

𝟐

𝒈 ∗ 𝑳

𝟐

𝒎

𝟏

2

⁄ ) ∗

(

  1. 25 𝑚

)

( 5 𝑘𝑔

) ( 9. 81 𝑚 𝑠

2

⁄ ) ∗

(

  1. 25 𝑚

)

1

2

2

1

2

2

Mystery Object “C”

Screenshot of balanced seesaw:

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Given:

𝑚

1

=? ; 𝐿

1

= 0. 25 𝑚

𝑚

2

= 15 𝑘𝑔 ; 𝐿

2

= 0. 25 𝑚

Calculations:

𝒄𝒄𝒘

𝟐

𝟐

Σ τ ccw

2

Mystery Object “C” = Σ τ cw

𝒄𝒘

𝒄𝒄𝒘

𝟏

1

Στ

ccw

1

1

  1. 79 𝑁∗𝑚

( 9. 81 𝑚 𝑠

2

⁄ )( 0. 25 𝑚)

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

Σ τ = Σ τ cw

  • Σ τ ccw

Proving

𝒄𝒘

𝒄𝒄𝒘

𝒎

𝟏

𝒈 ∗ 𝑳

𝟏

= 𝒎

𝟐

𝒈 ∗ 𝑳

𝟐

𝒎

𝟏

2

⁄ ) ∗

(

  1. 25 𝑚

)

( 15 𝑘𝑔

) ( 9. 81 𝑚 𝑠

2

⁄ ) ∗

(

  1. 25 𝑚

)

1

2

2

1

2

2

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Σ τ = Σ τ cw

  • Σ τ ccw

Proving

𝒄𝒘

𝒄𝒄𝒘

𝒎

𝟏

𝒈 ∗ 𝑳

𝟏

= 𝒎

𝟐

𝒈 ∗ 𝑳

𝟐

𝒎

𝟏

2

2

1

2

2

1

2

2

Mystery Object “E”

Screenshot of balanced seesaw:

Given:

𝑚

1

=? ; 𝐿

1

= 1. 25 𝑚

𝑚

2

= 15 𝑘𝑔 ; 𝐿

2

= 0. 25 𝑚

Calculations:

𝒄𝒄𝒘

𝟐

𝟐

Σ τ ccw

2

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Mystery Object “E” = Σ τ cw

𝒄𝒘

𝒄𝒄𝒘

𝟏

1

Στ

ccw

1

1

  1. 79 𝑁∗𝑚

( 9. 81 𝑚 𝑠

2

⁄ )( 1. 25 𝑚)

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

Σ τ = Σ τ cw

  • Σ τ ccw

Proving

𝒄𝒘

𝒄𝒄𝒘

𝒎

𝟏

𝒈 ∗ 𝑳

𝟏

= 𝒎

𝟐

𝒈 ∗ 𝑳

𝟐

𝒎

𝟏

2

⁄ ) ∗

(

  1. 25 𝑚

)

( 15 𝑘𝑔

) ( 9. 81 𝑚 𝑠

2

⁄ ) ∗

(

  1. 25 𝑚

)

1

2

2

1

2

2

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

Σ τ = Σ τ cw

  • Σ τ ccw

Proving

𝒄𝒘

𝒄𝒄𝒘

𝒎

𝟏

𝒈 ∗ 𝑳

𝟏

= 𝒎

𝟐

𝒈 ∗ 𝑳

𝟐

𝒎

𝟏

2

2

1

2

2

1

2

2

Mystery Object “G”

Screenshot of balanced seesaw:

Given:

𝑚

1

=? ; 𝐿

1

= 0. 25 𝑚

𝑚

2

= 5 𝑘𝑔 ; 𝐿

2

= 1. 25 𝑚

Calculations:

𝒄𝒄𝒘

𝟐

𝟐

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Σ τ ccw

2

Mystery Object “G” = Σ τ cw

𝒄𝒘

𝒄𝒄𝒘

𝟏

1

Στ

ccw

1

1

  1. 31 𝑁∗𝑚

( 9. 81 𝑚 𝑠

2

⁄ )( 0. 25 𝑚)

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

Σ τ = Σ τ cw

  • Σ τ ccw

Proving

𝒄𝒘

𝒄𝒄𝒘

𝒎

𝟏

𝒈 ∗ 𝑳

𝟏

= 𝒎

𝟐

𝒈 ∗ 𝑳

𝟐

𝒎

𝟏

2

2

1

2

2

1

2

2

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

1

  1. 79 𝑁∗𝑚

( 9. 81 𝑚 𝑠

2

⁄ )( 0. 5 𝑚)

𝒄𝒘

𝟏

𝟏

Σ τ cw

2

Σ τ = Σ τ cw

  • Σ τ ccw

Proving

𝒄𝒘

𝒄𝒄𝒘

𝒎

𝟏

𝒈 ∗ 𝑳

𝟏

= 𝒎

𝟐

𝒈 ∗ 𝑳

𝟐

𝒎

𝟏

2

2

1

2

2

1

2

2

Answers:

Mystery Object “A” = 20 kg

Mystery Object “B” = 5 kg

Mystery Object “C” = 15 kg

Mystery Object “D” = 10 kg

Mystery Object “E” = 3 kg

Mystery Object “F” = 50 kg

Mystery Object “G” = 25 kg

Mystery Object “H” = 7.5 kg

EN PHYS 1 – PHYSICS FOR ENGINEERS

Semester AY 20 22 - 2023

ACTIVITY WORKSHEET

CAMARINES NORTE STATE COLLEGE

F. Pimentel Avenue, Brgy. 2, Daet, Camarines

COLLEGE OF ENGINEERING

Conclusion:

In conclusion, the balance of a seesaw is dependent on the precise equality of the forces acting on both

sides of the beam. Any slight variation in the magnitude or direction of these forces can disrupt the balance and

cause one side to rise or fall. It is essential to ensure that the forces acting on either side of the seesaw are

precisely equal, with the same magnitude and direction, to maintain equilibrium. Additionally, to achieve

balance, an equal force must be exerted on the seesaw, either by a person or an object, to keep it level and

stable. Furthermore, the balance of a seesaw is a fundamental example of the principles of physics and the

importance of maintaining equilibrium in various systems.

The balance of a seesaw also depends on how weight is distributed on either side. If one side has more

weight than the other, it will tip down towards the heavier side. However, the position of the weight on each

side is also important. If a heavier weight is closer to the center of the seesaw, it will require a lighter weight to

balance it if it is placed further away from the center. This is because the weight further away from the center

has greater leverage and exerts a greater force on that side of the seesaw. Achieving balance on a seesaw

requires both equal weight distribution and proper placement of the weights on each side.

In conclusion, the simulation of a seesaw or lab activity is a valuable tool for understanding the

principles of balance and equilibrium in physics. By manipulating the forces, weights, and angles involved, we

can observe how different factors affect the balance of the seesaw and adjust them accordingly to maintain

equilibrium. This simulation or lab activity can be useful in a variety of contexts, from designing physical

structures to understanding the behavior of systems in nature. By using simulations like this, we can better

understand the physical laws that govern the world around us and apply this knowledge to solve real-world

problems.